Under Triple angle perimeter minimized (in Geometry) Posted on 2023-12-08 (1 Comments) |

| computer solution by Charlie (2023-12-08 08:48:07) |

Under Bug on a Cube 3 (in Probability) Posted on 2023-12-05 (3 Comments) |

| computer solution via simulation by Charlie (2023-12-05 10:41:28) |

Under Lighthouse Kerfuffle (in Probability) Posted on 2023-12-02 (2 Comments) |

| this is what I get by Charlie (2023-12-03 08:51:53) |

Under Airport Codes (in Word Problems) Posted on 2023-11-30 (4 Comments) |

| computer solution including international codes by Charlie (2023-11-30 10:35:46) |

Under Who gave what to whom? (in Logic) Posted on 2023-11-28 (7 Comments) |

| computer solution by Charlie (2023-11-28 14:43:37) |

Under Letter Equation Surmise (in General) Posted on 2023-11-28 (8 Comments) |

| re: iii) soln by Charlie (2023-11-28 08:58:36) |

Under Bug on a Cube 2 (in Probability) Posted on 2023-11-27 (5 Comments) |

| re: computer solution by Charlie (2023-11-27 14:00:57) |

| computer solution by Charlie (2023-11-27 13:56:24) |

Under Lighthouse Crossed Three Lights Mashup (in General) Posted on 2023-11-27 (3 Comments) |

| solution by Charlie (2023-11-27 09:21:32) |

Under Power growth (in Just Math) Posted on 2023-11-26 (3 Comments) |

| computer solution by Charlie (2023-11-26 09:15:18) |

Under Embedded Digital Product (in Numbers) Posted on 2023-11-25 (2 Comments) |

| list of available digit sets by Charlie (2023-11-25 14:03:01) |

| method of solution by Charlie (2023-11-25 13:46:18) |

Under Bug on a Cube (in Probability) Posted on 2023-11-19 (2 Comments) |

| some analytic, some computer by Charlie (2023-11-19 13:08:53) |

Under Find all possible pairs (in Just Math) Posted on 2023-11-19 (2 Comments) |

| computer exploration by Charlie (2023-11-19 09:33:18) |

Under Last two digits (in Just Math) Posted on 2023-11-18 (2 Comments) |

| computer solution by Charlie (2023-11-18 10:09:12) |

Under A Limit of Sum Expressions (in Numbers) Posted on 2023-11-16 (2 Comments) |

| solution by Charlie (2023-11-16 09:46:42) |

Under A square is a square (in Numbers) Posted on 2023-11-15 (3 Comments) |

| computer solution by Charlie (2023-11-15 11:32:53) |

Under ABCDEABCDEABCDE is one (in Numbers) Posted on 2023-11-14 (3 Comments) |

| solution by Charlie (2023-11-14 14:46:20) |

Under Ten Squares (in Numbers) Posted on 2023-11-13 (4 Comments) |

| computer findings by Charlie (2023-11-13 15:58:31) |

Under Pandigital and Pretty Powerful VI (in Numbers) Posted on 2023-11-13 (3 Comments) |

| if the puzzle had allowed N=2 by Charlie (2023-11-13 09:56:11) |

| computer solution by Charlie (2023-11-13 09:24:27) |

Under Smells Trigonometric (in Just Math) Posted on 2023-11-12 (4 Comments) |

| re(2): based on Wolfram Alpha by Charlie (2023-11-13 06:23:11) |

| based on Wolfram Alpha by Charlie (2023-11-12 15:31:22) |

Under Minimum Value Muse 3 (in Numbers) Posted on 2023-11-12 (2 Comments) |

| computer solution by Charlie (2023-11-12 08:56:56) |

Under Additively Quadratic 2 (in Numbers) Posted on 2023-11-11 (4 Comments) |

| re: Is this a finite set? by Charlie (2023-11-11 12:36:23) |

| Is this a finite set? by Charlie (2023-11-11 09:35:24) |

Under House Numbers on the Clock Street (in Numbers) Posted on 2023-11-10 (1 Comments) |

| computer solution by Charlie (2023-11-10 13:31:29) |

Under Two cases (in Sequences) Posted on 2023-11-10 (4 Comments) |

| computer solution for part II only by Charlie (2023-11-10 07:53:23) |

Under Four Squares II (in Numbers) Posted on 2023-11-09 (2 Comments) |

| computer exploration by Charlie (2023-11-09 18:18:25) |

Under Rex and Ralph's Math Competition (in Numbers) Posted on 2023-11-08 (2 Comments) |

| computer solution by Charlie (2023-11-08 13:20:02) |

Under Fibonacci Tail 2 (in Numbers) Posted on 2023-11-08 (2 Comments) |

| computer solution by Charlie (2023-11-08 09:06:56) |

Under complex trigonometry (in Just Math) Posted on 2023-11-07 (1 Comments) |

| just the calculated answer -- no insight by Charlie (2023-11-07 10:31:42) |

Under Numbers in pi 2 (in Numbers) Posted on 2023-11-05 (7 Comments) |

| re: new solution -- Matlab confirmation by Charlie (2023-11-07 07:02:43) |

| re: Different answer by Charlie (2023-11-06 21:27:33) |

Under Some Even and Odd Crossed Difference (in Numbers) Posted on 2023-11-03 (3 Comments) |

| re: Possible Solution -- computer verification by Charlie (2023-11-03 08:02:17) |

Under Eight Pandigital Primes (in Numbers) Posted on 2023-11-02 (3 Comments) |

| re: Solution by Charlie (2023-11-02 18:09:13) |

Under One-tenth Power Problem (in Numbers) Posted on 2023-11-02 (3 Comments) |

| re: solution by Charlie (2023-11-02 09:35:16) |

| solution by Charlie (2023-11-02 08:56:23) |

Under 96 Tees (in Numbers) Posted on 2023-11-01 (2 Comments) |

| re: computer solution by Charlie (2023-11-01 16:03:05) |

| computer solution by Charlie (2023-11-01 15:52:56) |

Under Reversible P and P^2 (in Numbers) Posted on 2023-10-31 (4 Comments) |

| re: No Subject by Charlie (2023-10-31 13:52:44) |

Under LCM and Equality Puzzle 2 (in Just Math) Posted on 2023-10-31 (2 Comments) |

| exploration-- no proof by Charlie (2023-10-31 08:35:02) |

Under Count the acceptable permutations (in Numbers) Posted on 2023-10-30 (3 Comments) |

| computer exploration -- no proof -- spoiler by Charlie (2023-10-30 12:08:50) |

Under Sum of the Digits 2 (in Numbers) Posted on 2023-10-27 (4 Comments) |

| looking ahead by Charlie (2023-10-27 12:52:57) |

Under Given the sum of sec and tan, Find the value of csc and cot (in Just Math) Posted on 2023-10-27 (5 Comments) |

| computer answer by Charlie (2023-10-27 08:39:51) |

Under Hexagon Picking Probability (in Shapes) Posted on 2023-10-25 (7 Comments) |

| my numerical integration by Charlie (2023-10-26 07:58:07) |

| re: Computer solution by Charlie (2023-10-25 15:16:39) |

Under 1000 point star (in General) Posted on 2023-10-25 (2 Comments) |

| solution by Charlie (2023-10-25 08:55:29) |

Under Consider Prime Numbers, Get Cube (in Numbers) Posted on 2023-10-24 (7 Comments) |

| computer solution by Charlie (2023-10-24 08:49:46) |

Under Super Exponentiation Surmise IV (in Just Math) Posted on 2023-10-23 (2 Comments) |

| solution by Charlie (2023-10-23 14:11:14) |

Under Power Crossed Expression Evaluation (in Numbers) Posted on 2023-10-22 (3 Comments) |

| possible solution by Charlie (2023-10-22 09:48:39) |

Under Conjoined Twins (in Numbers) Posted on 2023-10-20 (3 Comments) |

| computer solution by Charlie (2023-10-20 12:34:16) |

Under Ratio Expression Evaluation (in Numbers) Posted on 2023-10-19 (4 Comments) |

| short computer solution by Charlie (2023-10-19 17:07:16) |

Under EMIRP pair inside a PRIME (in Numbers) Posted on 2023-10-19 (1 Comments) |

| computer solution by Charlie (2023-10-19 10:02:26) |

Under Integer Diagonal (in Numbers) Posted on 2023-10-18 (4 Comments) |

| re(2): Computer solution by Charlie (2023-10-18 16:08:39) |

| re: Computer solution by Charlie (2023-10-18 15:50:22) |

| hmmm... a sort-of computer solution (spoiler) by Charlie (2023-10-18 12:08:24) |

Under Quadratic and Cubic Expression Quickie (in Just Math) Posted on 2023-10-17 (2 Comments) |

| computer solution by Charlie (2023-10-17 17:50:22) |

Under Super Exponentiation Surmise III (in Just Math) Posted on 2023-10-17 (2 Comments) |

| solution by Charlie (2023-10-17 13:58:13) |

| solution by Charlie (2023-10-17 09:34:49) |

Under Digital Sum Triples (in Numbers) Posted on 2023-10-15 (2 Comments) |

| computer solution by Charlie (2023-10-15 10:14:32) |

Under Inverse Crossed Linear Power (in Just Math) Posted on 2023-10-14 (7 Comments) |

| solution by Charlie (2023-10-14 10:41:40) |

Under Swamp Length From Computed Angles (in General) Posted on 2023-10-13 (7 Comments) |

| re(2): solution by Charlie (2023-10-13 14:00:33) |

| solution by Charlie (2023-10-13 12:24:45) |

Under Multiples of Powers (in Numbers) Posted on 2023-10-12 (4 Comments) |

| re(2): solution by Charlie (2023-10-15 22:21:45) |

| solution by Charlie (2023-10-12 07:56:47) |

Under Digits of N^6 (in Numbers) Posted on 2023-10-11 (3 Comments) |

| re: Computer solution by Charlie (2023-10-11 10:28:43) |

Under n-Pandigital and k-Divisible (in Numbers) Posted on 2023-10-08 (1 Comments) |

| computer solution by Charlie (2023-10-08 12:58:55) |

Under How Mean Is It? (in Just Math) Posted on 2023-10-07 (2 Comments) |

| computer solution by Charlie (2023-10-07 09:41:15) |

Under Fourteen Neighbor Nuance (in Logic) Posted on 2023-10-06 (1 Comments) |

| computer-aided solution by Charlie (2023-10-06 09:24:24) |

Under Mystery Number Nuance (in Numbers) Posted on 2023-10-05 (1 Comments) |

| solution (mostly computer) by Charlie (2023-10-05 15:05:41) |

Under Curvey Weirdness (in Calculus) Posted on 2023-10-05 (2 Comments) |

| graphical computer exploration by Charlie (2023-10-05 09:08:44) |

Under 2x4 = 4x2 (in Numbers) Posted on 2023-10-04 (2 Comments) |

| computer and visual selection by Charlie (2023-10-04 09:14:50) |

Under Special demands (in Just Math) Posted on 2023-10-02 (7 Comments) |

| re(3): solution by Charlie (2023-10-02 21:53:33) |

| re(2): solution by Charlie (2023-10-02 21:21:22) |

| solution by Charlie (2023-10-02 15:35:58) |

Under All possible integer values of N (in Numbers) Posted on 2023-10-02 (3 Comments) |

| solution by Charlie (2023-10-02 09:24:48) |

Under Solve in Integers (in Numbers) Posted on 2023-10-01 (5 Comments) |

| re(2): presumably all of them. by Charlie (2023-10-01 09:55:31) |

| presumably all of them. by Charlie (2023-10-01 08:28:41) |

Under Sock Sorting Space (in Probability) Posted on 2023-09-30 (2 Comments) |

| random trials of one million each n by Charlie (2023-09-30 12:59:31) |

Under What number is ALUMINE? (in Numbers) Posted on 2023-09-30 (7 Comments) |

| re: Me think , it’s d0 by Charlie (2023-09-30 08:31:28) |

| computer solution by Charlie (2023-09-30 08:28:34) |

Under Near powers (in Numbers) Posted on 2023-09-28 (2 Comments) |

| computer solution -- no proof of uniqueness by Charlie (2023-09-28 12:32:28) |

Under Double the Digits (in Numbers) Posted on 2023-09-28 (2 Comments) |

| computer solution by Charlie (2023-09-28 08:47:43) |

Under Five Pins on a Board (in Probability) Posted on 2023-09-27 (3 Comments) |

| If the randomization area were a circle rather than a square by Charlie (2023-09-27 22:17:10) |

| re: No Subject by Charlie (2023-09-27 20:43:17) |

| No Subject by Charlie (2023-09-27 15:05:10) |

Under Naughty Nimble Nines 2 (in Numbers) Posted on 2023-09-27 (6 Comments) |

| re: One more by Charlie (2023-09-27 09:57:05) |

| a solution by Charlie (2023-09-27 08:39:58) |

Under Ratio Difference Crossed Value Determination (in Just Math) Posted on 2023-09-26 (3 Comments) |

| computer-assisted answer by Charlie (2023-09-26 08:39:31) |

Under Splitting Words 2 (in Word Problems) Posted on 2023-09-25 (1 Comments) |

| computer solution by Charlie (2023-09-25 14:08:12) |

Under Integers only (in Sequences) Posted on 2023-09-25 (6 Comments) |

| re: Solution by Charlie (2023-09-25 08:44:01) |

| Hunting for x by Charlie (2023-09-25 08:39:48) |

Under Consider the Value, Get Solution (in Numbers) Posted on 2023-09-24 (2 Comments) |

| answer -- no proof by Charlie (2023-09-24 12:51:36) |

Under Checking the quantity (in Numbers) Posted on 2023-09-23 (8 Comments) |

| re(2): Puzzle Answer by Charlie (2023-09-24 07:27:17) |

| my computer findings by Charlie (2023-09-23 20:05:21) |

Under Concatenated Pandigital (in Numbers) Posted on 2023-09-23 (2 Comments) |

| computer solution by Charlie (2023-09-23 08:58:01) |

Under Factorial Crossed Perfect Square Settlement (in Numbers) Posted on 2023-09-21 (34 Comments) |

| computer solution by Charlie (2023-09-21 09:20:34) |

Under Inserting a number into 2023 (in Numbers) Posted on 2023-09-20 (2 Comments) |

| computer solutions (a and b) by Charlie (2023-09-20 13:00:24) |

Under Marquez's Equation 2 (in Numbers) Posted on 2023-09-20 (2 Comments) |

| computer solution by Charlie (2023-09-20 11:10:14) |

Under Reversing Minute Hand Clock (in Just Math) Posted on 2023-09-19 (1 Comments) |

| solution by Charlie (2023-09-19 08:27:49) |

Under What is the Time? (in General) Posted on 2023-09-12 (6 Comments) |

| re: computer-aided solution by Charlie (2023-09-12 10:37:46) |

| computer-aided solution by Charlie (2023-09-12 09:07:15) |

Under Accuracy Ascertainment (in Probability) Posted on 2023-09-11 (6 Comments) |

| re: Extra Challenge Accepted (spoiler) by Charlie (2023-09-13 06:58:04) |

| computer-aided solution by Charlie (2023-09-11 09:13:13) |

Under Clock Time Consideration (in General) Posted on 2023-09-10 (7 Comments) |

| for the full 12 hours by Charlie (2023-09-10 22:08:12) |

Under Even and Odd Digit Numbers (in Numbers) Posted on 2023-09-08 (2 Comments) |

| going from perfect squares to their divisors by Charlie (2023-09-08 11:37:35) |

Under Unique and restricted (in Word Problems) Posted on 2023-09-06 (10 Comments) |

| re: No Subject by Charlie (2023-09-07 10:06:53) |

| re(4): computer solution showing valid words by Charlie (2023-09-06 23:24:07) |

| re(2): computer solution showing valid words by Charlie (2023-09-06 16:06:36) |

| Words and solutions from the program by Charlie (2023-09-06 13:51:28) |

| computer solution showing valid words by Charlie (2023-09-06 13:48:31) |

Under The tangent formula (in Just Math) Posted on 2023-09-06 (1 Comments) |

| heuristic "proof" by Charlie (2023-09-06 08:53:09) |

Under A distorted chessboard (in Shapes) Posted on 2023-09-05 (3 Comments) |

| computer solution by Charlie (2023-09-05 12:51:43) |

Under Digital Product Triples (in Numbers) Posted on 2023-09-05 (4 Comments) |

| re: Computer solution by Charlie (2023-09-05 21:20:49) |

| computer findings by Charlie (2023-09-05 09:35:07) |

Under Side constraint for maximizing area (in Just Math) Posted on 2023-09-04 (7 Comments) |

| computer approximation by Charlie (2023-09-04 12:27:26) |

Under Matrix probability (in Probability) Posted on 2023-09-03 (2 Comments) |

| computer solution (spoiler) by Charlie (2023-09-03 12:13:26) |

Under Powerful Parade (in Numbers) Posted on 2023-09-03 (5 Comments) |

| re: I might be wrong but... by Charlie (2023-09-03 10:40:16) |

Under A Quick Game with His Children (in Numbers) Posted on 2023-09-02 (7 Comments) |

| solution by Charlie (2023-09-02 09:21:30) |

Under Radical Real Value Resolution (in Just Math) Posted on 2023-09-01 (2 Comments) |

| computer solution by Charlie (2023-09-01 12:03:55) |

Under The Exam (in Logic) Posted on 2023-08-31 (5 Comments) |

| computer solution by Charlie (2023-08-31 09:07:10) |

Under Ten not welcomed... (in Probability) Posted on 2023-08-30 (2 Comments) |

| solution by Charlie (2023-08-30 10:00:27) |

Under Counting the Tilings (in Shapes) Posted on 2023-08-29 (2 Comments) |

| re: Solution by Charlie (2023-08-29 13:28:47) |

Under Book page number (in Just Math) Posted on 2023-08-29 (6 Comments) |

| re: Analytic solution by Charlie (2023-08-30 07:49:18) |

| computer solution with complete list by Charlie (2023-08-29 08:52:33) |

Under Easy rhombus angle measurement (in Geometry) Posted on 2023-08-26 (1 Comments) |

| GSP answer by Charlie (2023-08-26 21:25:57) |

Under It is not 49 (in General) Posted on 2023-08-26 (3 Comments) |

| computer solution by Charlie (2023-08-26 07:47:07) |

Under A clock area (in Just Math) Posted on 2023-08-23 (6 Comments) |

| computer solution by Charlie (2023-08-23 14:58:30) |

Under Near pi Equation Solution Settlement (in Just Math) Posted on 2023-08-23 (3 Comments) |

| What Wolfrm Alpha says by Charlie (2023-08-24 09:53:23) |

Under Sum Six Digit Even Numbers (in Numbers) Posted on 2023-08-22 (4 Comments) |

| re: different answer by Charlie (2023-08-22 14:49:03) |

| different answer by Charlie (2023-08-22 14:34:46) |

Under Counting triplets (in Numbers) Posted on 2023-08-22 (3 Comments) |

| solution by Charlie (2023-08-22 09:35:24) |

Under Logic of pets (in Logic) Posted on 2023-08-21 (5 Comments) |

| computer solution (spoiler) by Charlie (2023-08-21 11:03:56) |

Under Minimum distance between sets (in Just Math) Posted on 2023-08-21 (1 Comments) |

| answer (spoiler) by Charlie (2023-08-21 08:56:10) |

Under Another Couple 2 (in Word Problems) Posted on 2023-08-20 (2 Comments) |

| from my wordlist by Charlie (2023-08-20 09:30:04) |

Under Find this 4C4V word (in Word Problems) Posted on 2023-08-19 (6 Comments) |

| re(2): computer solution by Charlie (2023-08-26 07:52:46) |

| computer solution by Charlie (2023-08-19 14:45:32) |

Under Given the Vertices, Find the Area (in Shapes) Posted on 2023-08-19 (3 Comments) |

| solution by Charlie (2023-08-19 08:10:23) |

| question by Charlie (2023-08-19 06:27:58) |

Under Powers of the Digits (in Numbers) Posted on 2023-08-18 (2 Comments) |

| computer-aided solution by Charlie (2023-08-18 13:18:23) |

Under Square Crossed Linear Expression Poser (in Numbers) Posted on 2023-08-18 (2 Comments) |

| computer findings by Charlie (2023-08-18 08:58:10) |

Under Continued Division and Parentheses Crossed Positive Integer Determination Poser (in Numbers) Posted on 2023-08-16 (2 Comments) |

| computer solution by Charlie (2023-08-16 14:03:26) |

Under Cheap or expensive (in Numbers) Posted on 2023-08-16 (3 Comments) |

| from my word list by Charlie (2023-08-16 09:22:52) |

Under World Capital Lexicon (in Word Problems) Posted on 2023-08-15 (12 Comments) |

| 9 by Charlie (2023-08-15 14:44:13) |

| 5 by Charlie (2023-08-15 14:41:53) |

| 6 by Charlie (2023-08-15 14:25:16) |

| a small start by Charlie (2023-08-15 13:58:52) |

Under Explore a diophantine equation (in Just Math) Posted on 2023-08-14 (6 Comments) |

| computer solution by Charlie (2023-08-14 09:03:19) |

Under Value Validation II (in Just Math) Posted on 2023-08-12 (2 Comments) |

| my method by Charlie (2023-08-12 09:01:05) |

Under A positive determinant (in Just Math) Posted on 2023-08-11 (3 Comments) |

| solution by Charlie (2023-08-11 22:54:03) |

Under Some Near Pythagorean Integers Sum to Squares (in Numbers) Posted on 2023-08-11 (3 Comments) |

| computer solution by Charlie (2023-08-11 09:01:04) |

Under Four Powers (in Just Math) Posted on 2023-08-10 (2 Comments) |

| solution by Charlie (2023-08-10 08:32:04) |

Under Card rotation (in Just Math) Posted on 2023-08-09 (3 Comments) |

| solutions by Charlie (2023-08-09 09:20:31) |

Under Maximize Rectangle on Semicircle in Triangle (in Calculus) Posted on 2023-08-08 (4 Comments) |

| solution by Charlie (2023-08-08 14:15:09) |

Under Given the Function, Calculate the Value (in Just Math) Posted on 2023-08-08 (4 Comments) |

| re: computer solution -- decimal version by Charlie (2023-08-08 08:55:04) |

| computer solution by Charlie (2023-08-08 08:46:00) |

Under Sum Fractional Ratios (in Numbers) Posted on 2023-08-07 (4 Comments) |

| computer solution (spoiler) by Charlie (2023-08-07 12:27:14) |

Under Scrap Merchant Travel Settlement (in General) Posted on 2023-08-06 (4 Comments) |

| bare bones symbolic expressions by Charlie (2023-08-06 10:23:43) |

| solution by Charlie (2023-08-06 09:59:48) |

Under Four Sisters Crossed Birth Month Settlement (in Logic) Posted on 2023-08-05 (2 Comments) |

| computer solution by Charlie (2023-08-05 11:27:08) |

Under Floor Crossed Integer Quintuplet Query (in Numbers) Posted on 2023-08-04 (4 Comments) |

| re(2): computer solution continued (last part) by Charlie (2023-08-04 12:54:51) |

| re: computer solution continued by Charlie (2023-08-04 12:52:57) |

| computer solution by Charlie (2023-08-04 12:47:05) |

Under 3 perfect squares (in Just Math) Posted on 2023-08-01 (6 Comments) |

| computer solution by Charlie (2023-08-02 10:19:02) |

Under Concatenated 3-digit integers Crossed Ratio Puzzle (in Numbers) Posted on 2023-08-01 (3 Comments) |

| computer solution by Charlie (2023-08-01 08:41:30) |

Under Irrational powered equation (in Just Math) Posted on 2023-07-30 (3 Comments) |

| computer solution by Charlie (2023-07-30 16:30:32) |

Under Logarithm Crossed Ordered Pairs Puzzle (in Just Math) Posted on 2023-07-30 (4 Comments) |

| re: computer solution by Charlie (2023-07-30 10:08:52) |

| computer solution by Charlie (2023-07-30 09:43:47) |

Under Evened N and 3N Extended (in Numbers) Posted on 2023-07-29 (4 Comments) |

| same answer as Larry's by Charlie (2023-07-29 12:13:01) |

Under 7-11 game payoffs (in Probability) Posted on 2023-07-29 (2 Comments) |

| solution by Charlie (2023-07-29 08:50:51) |

Under Seven-digit Number (in Numbers) Posted on 2023-07-28 (5 Comments) |

| computer solution by Charlie (2023-07-28 12:25:19) |

Under 521st Digit Determination (in Just Math) Posted on 2023-07-28 (2 Comments) |

| computer solution and an observation by Charlie (2023-07-28 09:31:58) |

Under Derive a formula (in Just Math) Posted on 2023-07-27 (3 Comments) |

| computer solution by Charlie (2023-07-27 09:18:06) |

Under Evaluate an area (in Shapes) Posted on 2023-07-25 (4 Comments) |

| same answer by Charlie (2023-07-25 12:02:56) |

Under Permutation List 3 (in Numbers) Posted on 2023-07-25 (3 Comments) |

| solution by Charlie (2023-07-25 09:38:49) |

Under Restricted ternary numbers (in Numbers) Posted on 2023-07-24 (4 Comments) |

| computer solution by Charlie (2023-07-24 11:58:42) |

Under Consecutive inequality (in Numbers) Posted on 2023-07-24 (3 Comments) |

| Solution (spoiler) by Charlie (2023-07-24 08:15:57) |

Under Simultaneous equation (in Just Math) Posted on 2023-07-23 (2 Comments) |

| answer by Charlie (2023-07-23 11:25:54) |

Under Identical Digit Baffle III (in Numbers) Posted on 2023-07-22 (3 Comments) |

| re: computer solution -- list continued by Charlie (2023-07-22 09:32:33) |

| computer solution by Charlie (2023-07-22 09:28:03) |

Under Divisor count ratio (in Just Math) Posted on 2023-07-21 (3 Comments) |

| analytic incomplete but computer solved by Charlie (2023-07-21 12:57:40) |

Under Squares in a 4x4 Grid (in Numbers) Posted on 2023-07-21 (6 Comments) |

| re(2): Solution by Charlie (2023-07-21 10:52:00) |

| computer solution by Charlie (2023-07-21 10:32:19) |

Under Concatenate Three Primes, Make Six Primes (in Numbers) Posted on 2023-07-20 (1 Comments) |

| computer solution by Charlie (2023-07-20 13:55:46) |

Under Five Distinct Prime Factors (in Numbers) Posted on 2023-07-20 (1 Comments) |

| computer solution (spoiler) by Charlie (2023-07-20 09:04:44) |

Under String of 8s and Divisibility (in Numbers) Posted on 2023-07-19 (3 Comments) |

| solution by Charlie (2023-07-19 13:14:02) |

Under Concentric Circles and a Chord (in Shapes) Posted on 2023-07-19 (7 Comments) |

| solution by Charlie (2023-07-19 08:19:47) |

Under Twenty-third Power Posit (in Numbers) Posted on 2023-07-18 (4 Comments) |

| solution by Charlie (2023-07-18 08:29:26) |

Under Change the First Digit, Get Three Primes (in Numbers) Posted on 2023-07-17 (2 Comments) |

| computer solution by Charlie (2023-07-17 09:58:15) |

Under Center Six Digits (in Numbers) Posted on 2023-07-15 (3 Comments) |

| my program by Charlie (2023-07-15 10:33:28) |

Under Only two digits (in Probability) Posted on 2023-07-14 (5 Comments) |

| Solution by Charlie (2023-07-14 11:56:35) |

| re: simulation by Charlie (2023-07-14 11:48:10) |

| simulation by Charlie (2023-07-14 09:37:54) |

Under Some Decic Sin and Cos Sum to Rational Numbers (in Just Math) Posted on 2023-07-12 (5 Comments) |

| what I find by Charlie (2023-07-12 14:37:51) |

Under How many zeros? (in Numbers) Posted on 2023-07-12 (3 Comments) |

| answer by Charlie (2023-07-12 08:23:46) |

Under Squares and Cubes from Wooden Cubes (in Just Math) Posted on 2023-07-11 (1 Comments) |

| computer solution by Charlie (2023-07-11 14:02:42) |

Under Triangle of Sticks (in Just Math) Posted on 2023-07-11 (4 Comments) |

| computer solution by Charlie (2023-07-11 09:28:31) |

Under Finding 2022nd derivative (in Calculus) Posted on 2023-07-07 (11 Comments) |

| patterns are elusive by Charlie (2023-07-07 12:16:36) |

Under Dodecagon Based Pyramid (in Shapes) Posted on 2023-07-06 (4 Comments) |

| my 2 cents by Charlie (2023-07-06 17:37:01) |

Under Remainder Crossed Digit Permutation Resolution (in Numbers) Posted on 2023-07-06 (3 Comments) |

| computer-aided analysis by Charlie (2023-07-06 07:11:45) |

Under Cubic Root Comparison (in Just Math) Posted on 2023-07-05 (2 Comments) |

| well it is a proof if you just solve it by Charlie (2023-07-06 17:41:53) |

Under Let there be Light! (in Science) Posted on 2023-07-04 (3 Comments) |

| Solution (spoiler) by Charlie (2023-07-04 17:31:41) |

Under Some Quartic Expressions Sum to Fourth Powers (in Numbers) Posted on 2023-07-04 (2 Comments) |

| solution by Charlie (2023-07-04 08:32:33) |

Under 98 Crossed Sum of Digits Puzzle (in Numbers) Posted on 2023-07-03 (6 Comments) |

| re: Analytic solution by Charlie (2023-07-03 14:12:24) |

| computer solution by Charlie (2023-07-03 13:59:43) |

Under What BIG is bigger? (in Just Math) Posted on 2023-07-03 (4 Comments) |

| a solution by Charlie (2023-07-03 08:56:30) |

Under Three 3-digit Positive Integers (in Numbers) Posted on 2023-07-02 (5 Comments) |

| computer solution by Charlie (2023-07-02 14:13:24) |

Under Add 1 to Exponent*Number, Get Square (in Numbers) Posted on 2023-07-02 (2 Comments) |

| computer findings by Charlie (2023-07-02 10:09:16) |

Under Ingenious Sum Puzzle 2 (in Numbers) Posted on 2023-07-01 (2 Comments) |

| (A) only (partial spoiler) by Charlie (2023-07-01 12:21:00) |

Under Radar decoded (in Just Math) Posted on 2023-07-01 (9 Comments) |

| re: Puzzle Answer by Charlie (2023-07-01 11:17:29) |

Under Seventh Power Decision Settlement (in Numbers) Posted on 2023-06-30 (3 Comments) |

| computer solution by Charlie (2023-06-30 16:03:51) |

Under Some Prime Fractions sum to Integer Fraction (in Numbers) Posted on 2023-06-29 (4 Comments) |

| computer exploration by Charlie (2023-06-29 09:41:25) |

Under Try a tricky solution (in Just Math) Posted on 2023-06-28 (6 Comments) |

| computer solution by Charlie (2023-06-28 17:05:22) |

Under Weight-loss Program Poser (in Numbers) Posted on 2023-06-28 (3 Comments) |

| computer solution by Charlie (2023-06-28 16:41:37) |

Under Year Yearn 5 (in Algorithms) Posted on 2023-06-28 (3 Comments) |

| computer solution (spoiler) by Charlie (2023-06-28 08:42:31) |

Under Golden Substitution (in Just Math) Posted on 2023-06-27 (1 Comments) |

| computer ev by Charlie (2023-06-27 13:18:55) |

Under 2013 and Perfect Square Settlement (in Numbers) Posted on 2023-06-25 (3 Comments) |

| computer solution by Charlie (2023-06-25 16:42:37) |

Under More solutions, please (in Just Math) Posted on 2023-06-23 (4 Comments) |

| computer findings by Charlie (2023-06-23 12:55:00) |

Under Given Multiderivative Function, Find the value (in Calculus) Posted on 2023-06-23 (2 Comments) |

| computer solution by Charlie (2023-06-23 10:58:13) |

Under Missing Tetradecimal Digits Determination (in Numbers) Posted on 2023-06-22 (2 Comments) |

| computer solution by Charlie (2023-06-22 13:43:26) |

Under Some Linear Combination of Prime May Be a Perfect Square (in Numbers) Posted on 2023-06-21 (2 Comments) |

| an answer -- strictly speaking by Charlie (2023-06-21 12:55:18) |

Under Minimizing disjoint sum (in Just Math) Posted on 2023-06-20 (6 Comments) |

| computer solution by Charlie (2023-06-20 14:04:12) |

Under Terminating in Eight 8s (in Numbers) Posted on 2023-06-20 (2 Comments) |

| computer solution by Charlie (2023-06-20 09:26:16) |

Under Divisible and not Divisible (in Numbers) Posted on 2023-06-19 (3 Comments) |

| computer solution by Charlie (2023-06-19 14:38:51) |

Under Circle Constitution Crossed Person Removal Resolution (in Games) Posted on 2023-06-19 (1 Comments) |

| solution (spoiler) by Charlie (2023-06-19 09:20:34) |

Under A teller of truth and lies (in Riddles) Posted on 2023-06-17 (2 Comments) |

| guesses by Charlie (2023-06-17 15:34:22) |

Under Minimum and 2015 Multiple Muse (in Numbers) Posted on 2023-06-16 (2 Comments) |

| computer solution by Charlie (2023-06-16 10:52:21) |

Under Three Linear Expressions Divide Three Exponent Expressions (in Numbers) Posted on 2023-06-15 (4 Comments) |

| re: There is another solution. by Charlie (2023-06-20 10:36:01) |

| computer exploration by Charlie (2023-06-15 09:41:33) |

Under Four Smallest Prime Factor Sum Settlement (in Numbers) Posted on 2023-06-14 (2 Comments) |

| re: computer solution -- without extended precision by Charlie (2023-06-14 22:15:31) |

| computer solution by Charlie (2023-06-14 13:40:54) |

Under The Count of Integers (in Numbers) Posted on 2023-06-12 (3 Comments) |

| re: for integral r only (spoiler) by Charlie (2023-06-12 13:35:10) |

| for integral r only (spoiler) by Charlie (2023-06-12 12:59:14) |

Under Reciprocal Equation #8 (in Numbers) Posted on 2023-06-11 (4 Comments) |

| solution by Charlie (2023-06-11 09:37:04) |

Under Preperiod and Period Poser (in Numbers) Posted on 2023-06-09 (3 Comments) |

| computer solution by Charlie (2023-06-09 13:21:15) |

Under Ordinary Numbers (in Sequences) Posted on 2023-06-09 (4 Comments) |

| hint by Charlie (2023-06-10 14:26:49) |

Under Pandigital Crossed Perfect Square Poser (in Numbers) Posted on 2023-06-08 (2 Comments) |

| computer solution by Charlie (2023-06-08 12:02:15) |

Under Emirp Times (in Numbers) Posted on 2023-06-07 (1 Comments) |

| computer solution by Charlie (2023-06-07 15:13:43) |

Under Coded Crossword 4 (in Cryptography) Posted on 2023-06-07 (3 Comments) |

| my best attempt by Charlie (2023-06-07 10:15:57) |

Under Nested sin and cos equality (in Just Math) Posted on 2023-06-05 (2 Comments) |

| re: computer solution by Charlie (2023-06-05 14:15:23) |

| computer solution by Charlie (2023-06-05 13:43:41) |

Under The determinant is divisible by three (in Just Math) Posted on 2023-06-05 (3 Comments) |

| solution by Charlie (2023-06-05 10:00:54) |

Under Binomial and Floor Difference Crossed Division Determination (in Just Math) Posted on 2023-06-03 (3 Comments) |

| re: Computer solution by Charlie (2023-06-03 12:07:38) |

Under Friendly numbers (in Numbers) Posted on 2023-06-02 (4 Comments) |

| #1 and a start at #4 and failed attempt at 2 by Charlie (2023-06-02 12:13:13) |

Under Included in both A^B and B^A (in Numbers) Posted on 2023-06-01 (1 Comments) |

| computer solution by Charlie (2023-06-01 14:51:22) |

Under Reveal the Quote (in Word Problems) Posted on 2023-06-01 (4 Comments) |

| solution by Charlie (2023-06-01 10:13:53) |

Under Unsolved (so far) problem (in General) Posted on 2023-05-31 (3 Comments) |

| computer solution by Charlie (2023-05-31 10:01:45) |

Under Maximum Polygon Area Ascertainment (in Shapes) Posted on 2023-05-30 (4 Comments) |

| solution by Charlie (2023-05-30 13:57:03) |

Under Pandigital W numbers (in Numbers) Posted on 2023-05-30 (4 Comments) |

| solution by Charlie (2023-05-30 10:02:36) |

Under Phrasing Frustration (in Word Problems) Posted on 2023-05-29 (2 Comments) |

| a couple of wild guesses by Charlie (2023-05-30 10:39:16) |

Under Millionth Pandigital II (in Numbers) Posted on 2023-05-29 (5 Comments) |

| solution by Charlie (2023-05-29 11:34:57) |

Under Given the ratio, Find the Sum (in Numbers) Posted on 2023-05-25 (3 Comments) |

| some more by Charlie (2023-05-25 13:57:59) |

Under Pythagorean Crossed Six Consecutive Digit Determination (in Numbers) Posted on 2023-05-24 (2 Comments) |

| computer solution by Charlie (2023-05-24 12:44:36) |

Under Quick estimate (in Numbers) Posted on 2023-05-24 (11 Comments) |

| re: close by Charlie (2023-05-26 19:21:03) |

| close by Charlie (2023-05-26 18:32:14) |

| re: ….re(3): Not the solution -- indeed… by Charlie (2023-05-25 07:50:27) |

| re(2): Not the solution -- indeed. by Charlie (2023-05-24 16:09:21) |

| re: Not the solution -- maybe it still is by Charlie (2023-05-24 11:36:25) |

| Not the solution by Charlie (2023-05-24 11:00:48) |

Under Is this a Prime Number ? (in Numbers) Posted on 2023-05-23 (2 Comments) |

| solution by Charlie (2023-05-23 11:56:58) |

Under He gave me S and asked for X (in Just Math) Posted on 2023-05-23 (4 Comments) |

| re: more findings -- revised statistics by Charlie (2023-05-23 17:07:36) |

| re: more findings by Charlie (2023-05-23 16:40:02) |

| computer findings by Charlie (2023-05-23 07:12:27) |

Under From M to N (in Just Math) Posted on 2023-05-22 (4 Comments) |

| re: Other 4-digit M values -- continued by Charlie (2023-05-22 12:58:51) |

| Other 4-digit M values by Charlie (2023-05-22 12:54:00) |

| Part 2 by Charlie (2023-05-22 12:40:34) |

Under Take Factorial Ratios, Get Minimum (in Numbers) Posted on 2023-05-17 (3 Comments) |

| computer solution -- Matlab by Charlie (2023-05-17 10:56:12) |

Under Divisible by Prime Power (in Algorithms) Posted on 2023-05-15 (1 Comments) |

| computer solution by Charlie (2023-05-15 13:57:09) |

Under Similar to Find My Number (in Probability) Posted on 2023-05-15 (6 Comments) |

| solution and commentary by Charlie (2023-05-15 08:02:01) |

Under That's a lotta numbers! (2) (in Numbers) Posted on 2023-05-14 (2 Comments) |

| solution by Charlie (2023-05-14 10:08:27) |

Under Unit square overlap I (in Calculus) Posted on 2023-05-12 (7 Comments) |

| re: numeric solution by Charlie (2023-05-12 14:32:35) |

| numeric solution by Charlie (2023-05-12 13:49:09) |

Under The Railway Station Clock (in General) Posted on 2023-05-12 (1 Comments) |

| close enough by Charlie (2023-05-12 08:12:03) |

Under Erase as much as needed (in Just Math) Posted on 2023-05-11 (3 Comments) |

| solution by Charlie (2023-05-11 10:00:24) |

Under Large factor product (in Numbers) Posted on 2023-05-10 (4 Comments) |

| computer-based solution by Charlie (2023-05-10 15:07:12) |

Under Rock smashing competition (in Probability) Posted on 2023-05-08 (7 Comments) |

| computer solution by Charlie (2023-05-08 14:22:56) |

Under Ones and Twos (in Just Math) Posted on 2023-05-04 (4 Comments) |

| computer solution by Charlie (2023-05-04 15:36:03) |

Under Pick 6 get power of 6 (in Numbers) Posted on 2023-05-03 (8 Comments) |

| re(2): manual solution by Charlie (2023-05-04 15:52:24) |

| corrected program and solution by Charlie (2023-05-04 15:45:58) |

| computer solution (spoiler) by Charlie (2023-05-03 16:26:21) |

Under Mission impossible? (in Numbers) Posted on 2023-05-02 (1 Comments) |

| computer solution by Charlie (2023-05-02 14:46:36) |

Under Prime squares with distinct digits 2 (in Numbers) Posted on 2023-05-02 (2 Comments) |

| computer solution by Charlie (2023-05-02 10:57:05) |

Under Inconsiderable Fifth Power Finding (in Numbers) Posted on 2023-04-30 (2 Comments) |

| Solution (spoiler) by Charlie (2023-04-30 09:41:45) |

Under Inscribed Polygon Crossed Root Side Resolution (in Shapes) Posted on 2023-04-29 (6 Comments) |

| re: my solution -- corrected by Charlie (2023-04-29 08:25:02) |

| solution by Charlie (2023-04-29 08:14:14) |

Under A Complex Equation (in Just Math) Posted on 2023-04-28 (4 Comments) |

| re: Puzzle Solution by Charlie (2023-04-28 14:18:21) |

Under Digits of π in π^2 (in Numbers) Posted on 2023-04-27 (1 Comments) |

| computer solution by Charlie (2023-04-27 08:56:35) |

Under Given Two sods, Find the sod (in Numbers) Posted on 2023-04-26 (4 Comments) |

| solution (conditional) by Charlie (2023-04-26 11:43:19) |

Under A polynomial equation (in Just Math) Posted on 2023-04-26 (8 Comments) |

| computer solution by Charlie (2023-04-26 22:12:20) |

Under Place Ten Positive Integers, Get Minimum (in Numbers) Posted on 2023-04-25 (5 Comments) |

| I think this is it by Charlie (2023-04-25 11:50:28) |

Under Calling for ALL solutions (in Just Math) Posted on 2023-04-24 (2 Comments) |

| solution by Charlie (2023-04-24 11:34:19) |

Under Cross Product Quickie (in Numbers) Posted on 2023-04-24 (6 Comments) |

| p&p by Charlie (2023-04-24 09:59:13) |

Under Ay. ay. ay (in Just Math) Posted on 2023-04-23 (3 Comments) |

| computer approach by Charlie (2023-04-23 11:09:09) |

Under 2023 (in General) Posted on 2023-04-22 (1 Comments) |

| computer solution by Charlie (2023-04-22 20:30:44) |

Under Triple seven power (in Just Math) Posted on 2023-04-21 (14 Comments) |

| re(3): Errorless text Yes indeed -- computer solution by Charlie (2023-04-22 08:39:01) |

| some computer findings by Charlie (2023-04-21 10:49:04) |

Under Pandigital and Pretty Powerful V (in Numbers) Posted on 2023-04-20 (2 Comments) |

| re: solution, I hope by Charlie (2023-04-20 22:06:24) |

| solution, I hope by Charlie (2023-04-20 21:48:13) |

Under Three Digit Integers Crossed 170 Multiple Muse (in Numbers) Posted on 2023-04-19 (5 Comments) |

| some mod info by Charlie (2023-04-19 17:56:14) |

Under Prime sums (in Numbers) Posted on 2023-04-19 (3 Comments) |

| computer solution by Charlie (2023-04-19 09:01:58) |

Under Four Dozen Camper Conclusion (in Logic) Posted on 2023-04-18 (3 Comments) |

| solution by Charlie (2023-04-18 09:07:52) |

Under What happens next? (in General) Posted on 2023-04-17 (6 Comments) |

| re(2): computer finding hint by Charlie (2023-04-17 15:27:07) |

| computer finding by Charlie (2023-04-17 14:23:25) |

Under Flooring a Floor-Ceiling Function (in Just Math) Posted on 2023-04-17 (3 Comments) |

| solution by Charlie (2023-04-17 10:02:32) |

Under Product-Difference Crossed Power Poser (in Numbers) Posted on 2023-04-15 (2 Comments) |

| No Subject by Charlie (2023-04-15 10:58:47) |

Under Quintic Minimum (in Numbers) Posted on 2023-04-13 (4 Comments) |

| Best greedy algorithm I could find is nowhere near as good as Larry's algorithm by Charlie (2023-04-13 13:57:54) |

Under Paint it Black and Blue (in Probability) Posted on 2023-04-13 (1 Comments) |

| solution (if I did it right) by Charlie (2023-04-13 10:16:24) |

Under Roman WORD2NUM (in Word Problems) Posted on 2023-04-12 (4 Comments) |

| re(2): what comes to mind and then computer help (spoilers) by Charlie (2023-04-13 14:24:19) |

| what comes to mind and then computer help (spoilers) by Charlie (2023-04-12 14:09:08) |

Under Nice infinite series (in Sequences) Posted on 2023-04-11 (3 Comments) |

| computer calculation and some observations by Charlie (2023-04-12 08:01:50) |

Under Conjugate and radical equation (in Just Math) Posted on 2023-04-11 (3 Comments) |

| all values, via computer by Charlie (2023-04-11 15:13:43) |

Under BCCDEFGGB and Perfect Square (in Numbers) Posted on 2023-04-10 (3 Comments) |

| computer solution by Charlie (2023-04-10 14:30:16) |

Under Basic trigo equation (in Just Math) Posted on 2023-04-10 (2 Comments) |

| solution by Charlie (2023-04-10 10:38:22) |

Under Carpe Diem (in Numbers) Posted on 2023-04-07 (5 Comments) |

| re: The day this puzzle was posted by Charlie (2023-04-08 15:03:53) |

| part d by Charlie (2023-04-07 19:12:52) |

| re: checking Ady and a - c -- the programs by Charlie (2023-04-07 17:28:29) |

| checking Ady and a - c by Charlie (2023-04-07 17:26:16) |

Under Seems unlikely, but is not … (in Just Math) Posted on 2023-04-06 (3 Comments) |

| re: Solution by Charlie (2023-04-07 06:31:44) |

Under Signal Settlement (in Probability) Posted on 2023-04-05 (5 Comments) |

| re: solution -- if there were 4 transmissions by Charlie (2023-04-05 17:08:09) |

| solution by Charlie (2023-04-05 16:59:39) |

Under Special Indices II (in Numbers) Posted on 2023-04-05 (3 Comments) |

| other "years" by Charlie (2023-04-05 10:13:29) |

Under Factorials galore (in Sequences) Posted on 2023-04-04 (2 Comments) |

| re: Puzzle Solution --- numeric verification by Charlie (2023-04-04 13:32:26) |

Under Kebab Palace Casino Conclusion (in Probability) Posted on 2023-04-04 (4 Comments) |

| Counting the ways another way by Charlie (2023-04-04 12:58:30) |

Under Floored parabola (in Just Math) Posted on 2023-04-03 (4 Comments) |

| computer solution by Charlie (2023-04-03 09:03:53) |

Under Special (int)ention (in Just Math) Posted on 2023-04-02 (8 Comments) |

| re(2): solution by Charlie (2023-04-02 19:52:45) |

| solution by Charlie (2023-04-02 10:46:32) |

Under Power Crossed Cube Conclusion (in Numbers) Posted on 2023-04-01 (3 Comments) |

| computer solution by Charlie (2023-04-01 11:29:11) |

Under Faulty Calculator Frolic (in Numbers) Posted on 2023-03-31 (4 Comments) |

| re: computer solution by Charlie (2023-03-31 13:50:39) |

| computer solution by Charlie (2023-03-31 09:47:52) |

Under An irrational answer (in Numbers) Posted on 2023-03-30 (6 Comments) |

| re: Puzzle Solution by Charlie (2023-03-31 10:54:11) |

| re: Solution -- an interesting aside by Charlie (2023-03-30 10:22:57) |

Under Another triangle in a square problem (in Geometry) Posted on 2023-03-29 (4 Comments) |

| my solution by Charlie (2023-03-29 21:52:20) |

Under 52-card lottery (in Probability) Posted on 2023-03-29 (11 Comments) |

| re: Part 1 and 2 solutions by Charlie (2023-03-29 10:52:26) |

| re: Part 2 (analytical corrected) by Charlie (2023-03-29 10:11:25) |

| re: Computer solution by Charlie (2023-03-29 09:54:38) |

| re: Parts 1 and 2 (analytical spoiler) by Charlie (2023-03-29 08:01:44) |

Under More Arithmetic Integers II (in Numbers) Posted on 2023-03-28 (2 Comments) |

| computer solution by Charlie (2023-03-28 15:44:30) |

Under Tea Team Quickie (in Numbers) Posted on 2023-03-28 (3 Comments) |

| well... by Charlie (2023-03-28 09:28:52) |

Under Dart Discharge II (in Numbers) Posted on 2023-03-27 (4 Comments) |

| computer solution by Charlie (2023-03-27 09:31:53) |

Under Sawtooth Crossed Ratio Resolution (in Numbers) Posted on 2023-03-25 (3 Comments) |

| computer methods by Charlie (2023-03-25 11:56:54) |

Under Deux Duodecimal Prime Number Determination. (in Numbers) Posted on 2023-03-24 (2 Comments) |

| computer solution by Charlie (2023-03-24 08:27:06) |

Under Power after power (in Just Math) Posted on 2023-03-22 (3 Comments) |

| How to solve without really thinking... by Charlie (2023-03-22 13:22:57) |

Under Eight Buttons (in General) Posted on 2023-03-21 (2 Comments) |

| re: computer solution by Charlie (2023-03-21 17:26:29) |

| computer solution by Charlie (2023-03-21 14:51:52) |

Under Fifth Powers (in Just Math) Posted on 2023-03-21 (3 Comments) |

| computer exploration by Charlie (2023-03-21 09:48:42) |

Under Mean Crossed Reversal Muse (in Numbers) Posted on 2023-03-19 (3 Comments) |

| computer solution by Charlie (2023-03-19 10:41:38) |

Under 6 teams (in Probability) Posted on 2023-03-17 (11 Comments) |

| re: an ambiguity? by Charlie (2023-03-17 10:30:06) |

| computer solution and discussion by Charlie (2023-03-17 10:21:02) |

Under Three Consecutive Letters in Order (in Word Problems) Posted on 2023-03-15 (2 Comments) |

| computer solution (Matlab) by Charlie (2023-03-15 14:21:58) |

Under Comparing results (in Probability) Posted on 2023-03-15 (1 Comments) |

| computer solution by Charlie (2023-03-15 10:06:15) |

Under Sum of two squares (in Numbers) Posted on 2023-03-14 (4 Comments) |

| computer solution by Charlie (2023-03-14 11:59:57) |

Under Four For Dinner Identification (in Logic) Posted on 2023-03-13 (2 Comments) |

| computer solution by Charlie (2023-03-13 14:37:00) |

Under Not on Earth, not on the sky (in Riddles) Posted on 2023-03-13 (2 Comments) |

| possibility by Charlie (2023-03-13 10:35:37) |

Under Duodecimal Digital Expansion Puzzle (in Numbers) Posted on 2023-03-11 (3 Comments) |

| solution by Charlie (2023-03-11 09:20:32) |

Under World Series Gamble Settlement (in General) Posted on 2023-03-09 (5 Comments) |

| re: Clarification by Charlie (2023-03-09 08:26:31) |

Under Heptagon in a Square (in Shapes) Posted on 2023-03-07 (13 Comments) |

| re: Some thoughts -- a solution by Charlie (2023-03-08 10:36:37) |

Under Stairway Ascension Ascertainment (in Numbers) Posted on 2023-03-07 (6 Comments) |

| computer solution by Charlie (2023-03-07 09:38:03) |

Under Three Coin Consideration (in Logic) Posted on 2023-03-03 (5 Comments) |

| re: Solution by Charlie (2023-03-03 13:12:35) |

| computer solution by Charlie (2023-03-03 13:09:56) |

Under Finding Two Calculator Fractions (in Numbers) Posted on 2023-03-02 (4 Comments) |

| solutions by Charlie (2023-03-02 15:38:38) |

Under Two vending machines (in Probability) Posted on 2023-03-02 (2 Comments) |

| solution (spoiler) by Charlie (2023-03-02 07:40:38) |

Under Super Exponentiation Surmise II (in Just Math) Posted on 2023-03-01 (2 Comments) |

| a graph by Charlie (2023-03-01 14:56:17) |

| computer exploration by Charlie (2023-03-01 14:34:30) |

Under Mr. Wolfingham's Fiancée (in Logic) Posted on 2023-03-01 (5 Comments) |

| computer solution by Charlie (2023-03-01 09:29:43) |

Under WG’s quintuple (in Numbers) Posted on 2023-02-28 (3 Comments) |

| No Subject by Charlie (2023-02-28 15:37:26) |

Under Four Credible Word Conclusion (in Word Problems) Posted on 2023-02-28 (2 Comments) |

| computer solution by Charlie (2023-02-28 09:37:31) |

Under Some 2 Powers Sum to Factorial (in Numbers) Posted on 2023-02-27 (5 Comments) |

| without proof of completeness by Charlie (2023-02-27 12:46:52) |

Under 3 integers (in Numbers) Posted on 2023-02-27 (6 Comments) |

| re: Which did you have in mind? by Charlie (2023-02-27 08:38:01) |

Under Evaluate x (in Just Math) Posted on 2023-02-25 (4 Comments) |

| two ways by Charlie (2023-02-25 08:18:35) |

Under Reciprocal Equation #7 (in Numbers) Posted on 2023-02-24 (4 Comments) |

| solution by Charlie (2023-02-24 08:47:55) |

Under Triplet Trouble (in Sequences) Posted on 2023-02-23 (2 Comments) |

| program by Charlie (2023-02-23 20:35:02) |

Under Skier and Force Formulation (in Science) Posted on 2023-02-23 (6 Comments) |

| re(2): solution (sort of) by Charlie (2023-02-24 17:26:32) |

| solution (sort of) by Charlie (2023-02-23 09:06:18) |

Under Heather's Fiancé (in Liars and Knights) Posted on 2023-02-22 (2 Comments) |

| most of the solution by Charlie (2023-02-22 10:34:55) |

Under Possible Pisano Poser? (in Numbers) Posted on 2023-02-21 (4 Comments) |

| computer solution by Charlie (2023-02-21 15:05:55) |

Under 4 distinct pairs (in Just Math) Posted on 2023-02-20 (5 Comments) |

| my thoughts by Charlie (2023-02-20 09:07:08) |

Under Fibonacci but with Subtraction still stays Positive (in Sequences) Posted on 2023-02-15 (3 Comments) |

| solution by Charlie (2023-02-15 17:13:49) |

Under Broken TV Testament (in Science) Posted on 2023-02-15 (2 Comments) |

| solution by Charlie (2023-02-15 08:58:13) |

Under Metapuzzle II (in Algorithms) Posted on 2023-02-14 (1 Comments) |

| correction to link in puzzle by Charlie (2023-02-22 13:11:03) |

Under Golfer Gauge II (in Liars and Knights) Posted on 2023-02-13 (1 Comments) |

| solution by Charlie (2023-02-13 08:38:01) |

Under Arithmetic Sequence Crossed Integer Determination Puzzle (in Numbers) Posted on 2023-02-12 (6 Comments) |

| the full grids by Charlie (2023-02-13 19:17:32) |

| re: computer solution by Charlie (2023-02-12 09:38:58) |

| computer solution by Charlie (2023-02-12 09:16:29) |

Under Respectively Divisible II (in Numbers) Posted on 2023-02-10 (4 Comments) |

| computer solution by Charlie (2023-02-10 10:05:51) |

Under sod(N) = pod(sqrt(N)) (in Numbers) Posted on 2023-02-09 (3 Comments) |

| re: thought on (c) by Charlie (2023-02-09 09:55:06) |

| thought on (c) by Charlie (2023-02-09 09:34:45) |

| computer solution of (a) and (b) -- spoilers by Charlie (2023-02-09 09:30:16) |

Under Cube Rooted and Squared Til 2023 (in Just Math) Posted on 2023-02-08 (2 Comments) |

| computer evaluation (spoiler) by Charlie (2023-02-08 09:38:08) |

Under Phi Proximity Poser (in Numbers) Posted on 2023-02-07 (3 Comments) |

| computer exploration on part I by Charlie (2023-02-07 14:39:21) |

Under Name the base (in Just Math) Posted on 2023-02-07 (4 Comments) |

| the computer method by Charlie (2023-02-07 08:03:48) |

Under Consider Prime Ratios, Get Integers (in Numbers) Posted on 2023-02-04 (4 Comments) |

| computer findings by Charlie (2023-02-04 09:54:58) |

Under Fours and Fives Crossed Fortune Formulation (in Numbers) Posted on 2023-02-03 (4 Comments) |

| computer then interpretation by Charlie (2023-02-03 11:15:57) |

Under Prisons foes (in Word Problems) Posted on 2023-02-02 (5 Comments) |

| a start by Charlie (2023-02-02 09:17:00) |

Under Partially filled cone (in Geometry) Posted on 2023-02-01 (3 Comments) |

| solution by Charlie (2023-02-01 09:32:56) |

Under Archaic Anagram Ascertainment (in Word Problems) Posted on 2023-01-31 (1 Comments) |

| solution by Charlie (2023-01-31 10:38:12) |

Under Long Distance Proposal Poser (in Science) Posted on 2023-01-30 (1 Comments) |

| Solution (spoiler) by Charlie (2023-01-30 09:26:55) |

Under Semiprime times (in Numbers) Posted on 2023-01-29 (1 Comments) |

| computer solution by Charlie (2023-01-29 12:12:17) |

Under Lynch-Bell numbers (in Numbers) Posted on 2023-01-27 (3 Comments) |

| Also answered, how many there are by Charlie (2023-01-27 10:35:09) |

Under Integers with Happy, Healthy Babies (in Numbers) Posted on 2023-01-26 (1 Comments) |

| computer solution by Charlie (2023-01-26 10:32:05) |

Under Ducks in a pond (in Probability) Posted on 2023-01-24 (17 Comments) |

| 3 ducks as a simulation by Charlie (2023-01-24 11:36:21) |

| 4 ducks as a simulation by Charlie (2023-01-24 11:15:22) |

| numerical integration with 4 ducks by Charlie (2023-01-24 11:10:00) |

| re: my err -- no actually it was MY error by Charlie (2023-01-24 10:45:48) |

| numerical integration for 3 ducks by Charlie (2023-01-24 09:58:55) |

Under Log Value Extrication (in Just Math) Posted on 2023-01-22 (2 Comments) |

| solution by Charlie (2023-01-22 11:02:41) |

Under Provisory Pairs (in Numbers) Posted on 2023-01-21 (2 Comments) |

| some numbers to look at by Charlie (2023-01-21 09:11:18) |

Under Minimum Integer from Last 2 Digits Puzzle (in Numbers) Posted on 2023-01-20 (2 Comments) |

| computer solution by Charlie (2023-01-20 14:13:12) |

Under Change the First Digit, Get Two Primes (in Numbers) Posted on 2023-01-19 (2 Comments) |

| computer solution by Charlie (2023-01-19 09:18:29) |

Under Value Validation (in Just Math) Posted on 2023-01-18 (2 Comments) |

| Is this indirect enough? by Charlie (2023-01-18 09:54:46) |

Under Fibonacci Lengths (in Numbers) Posted on 2023-01-16 (2 Comments) |

| The start of a proof by Charlie (2023-01-16 10:38:18) |

Under Semiprimes and Emirps (in Numbers) Posted on 2023-01-14 (5 Comments) |

| re: semi-analytic solution by Charlie (2023-01-14 11:05:15) |

| computer solution by Charlie (2023-01-14 11:01:12) |

Under Four Points in a Square (in Probability) Posted on 2023-01-12 (10 Comments) |

| Code for sanity check by Charlie (2023-01-13 08:35:34) |

| re: Sanity check on classification -- last part got cut off by Charlie (2023-01-13 08:29:59) |

| Sanity check on classification by Charlie (2023-01-13 08:27:53) |

| re(2): preliminary simulation results by Charlie (2023-01-12 18:17:52) |

| re: preliminary simulation results by Charlie (2023-01-12 11:44:24) |

| preliminary simulation results by Charlie (2023-01-12 09:49:53) |

Under Countries of the World II (in Cryptography) Posted on 2023-01-11 (2 Comments) |

| computer solution by Charlie (2023-01-11 09:12:16) |

Under Three digits (in Numbers) Posted on 2023-01-10 (4 Comments) |

| computer solution by Charlie (2023-01-10 09:05:17) |

Under Alphametic Quickie (in Numbers) Posted on 2023-01-09 (4 Comments) |

| re: Solution by Charlie (2023-01-09 10:43:29) |

| solution by Charlie (2023-01-09 10:41:18) |

Under Simultaneous Settlement VII (in Just Math) Posted on 2023-01-08 (6 Comments) |

| computer solution by Charlie (2023-01-08 08:56:36) |

Under Pandigital Product Crossed Square Poser (in Numbers) Posted on 2023-01-06 (18 Comments) |

| re(2): Solution by Charlie (2023-01-06 14:46:30) |

| re: Solution by Charlie (2023-01-06 14:11:39) |

Under Narcissistic minus 1: Cerossistic (in Numbers) Posted on 2023-01-05 (4 Comments) |

| computer solution by Charlie (2023-01-05 10:14:00) |

Under 1 2 3 4. How high is your score? (in Numbers) Posted on 2023-01-03 (2 Comments) |

| computer solution (spoiler) by Charlie (2023-01-03 21:15:24) |

Under Ones and Zero Operation Outcome (in Tricks) Posted on 2023-01-02 (3 Comments) |

| my take on it by Charlie (2023-01-02 10:03:06) |

Under A 1/1 problem (in Numbers) Posted on 2023-01-01 (5 Comments) |

| re(3): hoping this is concise enough by Charlie (2023-01-03 08:57:40) |

| hoping this is concise enough by Charlie (2023-01-01 09:06:28) |

Under Bless you, Blaise! (in Probability) Posted on 2022-12-31 (2 Comments) |

| answers by Charlie (2022-12-31 08:56:11) |

Under A quadruple gift for the N.Y. (in Numbers) Posted on 2022-12-28 (8 Comments) |

| re(2): solutions by Charlie (2022-12-30 07:38:21) |

| solutions by Charlie (2022-12-28 08:51:38) |

Under Optimal Motorbike Travel Option (in General) Posted on 2022-12-27 (7 Comments) |

| researched solution by Charlie (2022-12-27 10:40:38) |

Under Split Words Settlement IV (in Word Problems) Posted on 2022-12-26 (4 Comments) |

| solution by Charlie (2022-12-26 10:23:39) |

Under Six Friends and a Wallet Puzzle (in Liars and Knights) Posted on 2022-12-25 (3 Comments) |

| solution by Charlie (2022-12-25 10:29:10) |

Under I-O Ratio Resolution (in Word Problems) Posted on 2022-12-24 (4 Comments) |

| from my word list by Charlie (2022-12-24 12:59:42) |

Under Gaussian Rectangle Problem (in Just Math) Posted on 2022-12-23 (4 Comments) |

| re: Part 1 and part of part 2 by Charlie (2022-12-23 11:05:11) |

| re: computer answers (spoilers) by Charlie (2022-12-23 10:38:44) |

| computer answers (spoilers) by Charlie (2022-12-23 10:06:52) |

Under Triangular and Heptagonal Hindrance (in Numbers) Posted on 2022-12-22 (3 Comments) |

| computer solution by Charlie (2022-12-22 10:28:40) |

Under Ukraine war (in Word Problems) Posted on 2022-12-21 (4 Comments) |

| a couple more by Charlie (2022-12-21 10:08:03) |

Under Near Exponential Expressions Crossed Value Derivation (in Just Math) Posted on 2022-12-20 (2 Comments) |

| solution by Charlie (2022-12-20 08:25:01) |

Under Permuted Duodecimal Mean Muse (in Numbers) Posted on 2022-12-19 (5 Comments) |

| re: Solution by Charlie (2022-12-19 07:56:17) |

| solution by Charlie (2022-12-19 07:41:38) |

Under Year Yearn 4 (in Numbers) Posted on 2022-12-18 (5 Comments) |

| re(2): computer findings by Charlie (2022-12-18 16:35:23) |

| computer findings by Charlie (2022-12-18 10:28:52) |

Under More Tangential Trapezoids (in Geometry) Posted on 2022-12-16 (4 Comments) |

| Bonus by Charlie (2022-12-16 10:51:12) |

| re: computer solution (hope it's right--see caveats) by Charlie (2022-12-16 10:27:40) |

| computer solution (hope it's right--see caveats) by Charlie (2022-12-16 10:17:50) |

Under Specially Constituted Word (in Word Problems) Posted on 2022-12-15 (10 Comments) |

| computer solution by Charlie (2022-12-15 09:42:33) |

Under Butcher and Baker Puzzle (in Logic) Posted on 2022-12-14 (17 Comments) |

| re: soln by Charlie (2022-12-14 09:49:35) |

| computer solution by Charlie (2022-12-14 09:45:54) |

Under Ice Cream Sundae Surmise (in Logic) Posted on 2022-12-11 (2 Comments) |

| computer solution by Charlie (2022-12-11 11:19:00) |

Under Atom-sized Black Hole Mass (in Science) Posted on 2022-12-08 (3 Comments) |

| re: my calculations by Charlie (2022-12-08 11:08:35) |

| my calculations by Charlie (2022-12-08 10:00:35) |

Under He Fooled Penn & Teller but ... (in Numbers) Posted on 2022-12-07 (4 Comments) |

| re: Solution -- an aside by Charlie (2022-12-07 08:31:03) |

Under Rising above the ceiling (in Probability) Posted on 2022-12-06 (6 Comments) |

| Some simulatons by Charlie (2022-12-06 09:56:10) |

Under Telescopic Trial (in Science) Posted on 2022-12-05 (5 Comments) |

| re: soln by Charlie (2022-12-05 11:53:33) |

| Solution (spoiler) in overly-verbose detail. by Charlie (2022-12-05 08:16:40) |

Under Fraction-Fraction-Fraction Finding (in Numbers) Posted on 2022-12-02 (2 Comments) |

| computer solution by Charlie (2022-12-02 10:10:13) |

Under A Tangential Trapezoid (in Geometry) Posted on 2022-11-30 (2 Comments) |

| computer solution by Charlie (2022-11-30 09:39:15) |

Under Two Plus Two Equals Five (in Tricks) Posted on 2022-11-29 (4 Comments) |

| One classic way by Charlie (2022-11-29 08:53:20) |

Under 100 Lights and 100 Switches (in General) Posted on 2022-11-28 (6 Comments) |

| solution by Charlie (2022-11-28 09:09:35) |

Under Prime or Composite? (in Numbers) Posted on 2022-11-27 (3 Comments) |

| solution by Charlie (2022-11-27 09:49:40) |

Under A square 2 (in Numbers) Posted on 2022-11-26 (8 Comments) |

| re(3): More than expected by Charlie (2022-11-26 20:32:38) |

| computer solution by Charlie (2022-11-26 09:06:15) |

Under Nonn, easy, nice. (in Just Math) Posted on 2022-11-23 (5 Comments) |

| computer exploration by Charlie (2022-11-23 11:20:15) |

Under Covert Quantity VI (in Logic) Posted on 2022-11-22 (4 Comments) |

| computer solution (spoiler) by Charlie (2022-11-22 10:26:33) |

Under Semiprimes in Arithmetic Sequence (in Sequences) Posted on 2022-11-20 (11 Comments) |

| a failed attempt by Charlie (2022-11-20 11:07:03) |

Under Sawtooth Limit Settlement (in Calculus) Posted on 2022-11-17 (3 Comments) |

| re(2): solution by Charlie (2022-11-17 10:37:36) |

| re: solution by Charlie (2022-11-17 10:04:25) |

| solution by Charlie (2022-11-17 09:46:11) |

Under Trading Places 2 (in General) Posted on 2022-11-16 (6 Comments) |

| computer solution (spoiler) by Charlie (2022-11-16 09:36:29) |

Under Bits adjacent to 1 (in Sequences) Posted on 2022-11-15 (5 Comments) |

| computer solution by Charlie (2022-11-15 10:42:22) |

Under A Game of Dice Puzzle (in Probability) Posted on 2022-11-14 (7 Comments) |

| re: solution --- simulation by Charlie (2022-11-14 14:00:50) |

| solution by Charlie (2022-11-14 10:40:18) |

Under Four Crossed Female Athlete Ascertainment (in Logic) Posted on 2022-11-11 (2 Comments) |

| computer solution by Charlie (2022-11-11 10:26:34) |

Under Missing Digit Deduction (in Numbers) Posted on 2022-11-08 (2 Comments) |

| solution by Charlie (2022-11-08 12:38:03) |

Under Binomial Coefficient Product Puzzle (in Numbers) Posted on 2022-11-07 (3 Comments) |

| computer exploration (spoiler) by Charlie (2022-11-07 10:37:14) |

Under Balanced Ternary Treat (in Algorithms) Posted on 2022-11-04 (1 Comments) |

| solution by Charlie (2022-11-04 11:31:44) |

Under Couple of Words II (in Word Problems) Posted on 2022-11-03 (7 Comments) |

| computer findings by Charlie (2022-11-03 14:51:48) |

Under A six-way division (in Weights and Scales) Posted on 2022-11-01 (5 Comments) |

| re(3): soln -- a couple more thoughts by Charlie (2022-11-15 10:51:11) |

| re: soln by Charlie (2022-11-14 13:37:31) |

Under Lights Out! (2) (in General) Posted on 2022-10-31 (22 Comments) |

| re(2): Cleaned-up code for the extension and an observation by Charlie (2022-11-14 14:18:01) |

| Cleaned-up code for the extension and an observation by Charlie (2022-11-13 11:32:26) |

| Faster Method -- here's 17 and 19 by Charlie (2022-11-11 22:01:34) |

| re(4): extension of the problem -- 13 and 15 by Charlie (2022-11-11 14:02:56) |

| re(3): extension of the problem by Charlie (2022-11-11 12:41:43) |

| computer solution by Charlie (2022-10-31 10:31:43) |

Under Iterated Floor Illation (in Just Math) Posted on 2022-10-28 (22 Comments) |

| computer-assisted solution by Charlie (2022-10-28 11:52:28) |

Under 123…9 door to door (in Sequences) Posted on 2022-10-27 (27 Comments) |

| computer verification by Charlie (2022-10-27 11:23:23) |

| solution by Charlie (2022-10-27 09:07:23) |

Under Sorting Coins III (in Weights and Scales) Posted on 2022-10-26 (4 Comments) |

| No Subject by Charlie (2022-11-06 09:26:34) |

Under Repeating tetradecimals (in Numbers) Posted on 2022-10-25 (4 Comments) |

| for bases 8 through 16 by Charlie (2022-10-25 13:59:50) |

| computer solution by Charlie (2022-10-25 13:29:52) |

Under Four Floored Cube Finding (in Numbers) Posted on 2022-10-24 (2 Comments) |

| answers by Charlie (2022-10-24 11:32:53) |

Under Close Shave Conclusion (in Science) Posted on 2022-10-23 (1 Comments) |

| discussion by Charlie (2022-10-23 09:10:44) |

Under Average Arctic Distance (in Probability) Posted on 2022-10-21 (8 Comments) |

| re(2): soln by Charlie (2022-10-21 19:01:21) |

Under Distance through a cube (in Shapes) Posted on 2022-10-20 (3 Comments) |

| computer solution by Charlie (2022-10-20 11:12:32) |

Under A Misinformed Liar Cannot Falsify Facts (in Logic) Posted on 2022-10-17 (2 Comments) |

| hmmm by Charlie (2022-10-17 11:57:08) |

Under Knot Tying Travail (in Probability) Posted on 2022-10-16 (5 Comments) |

| re: Solution? -- I agree it is by Charlie (2022-10-16 08:49:42) |

Under Three Distinct Divisor Trial (in Numbers) Posted on 2022-10-15 (5 Comments) |

| computer solution by Charlie (2022-10-15 11:06:49) |

Under Regular Hexagon and Mean Distance (in Shapes) Posted on 2022-10-14 (6 Comments) |

| Simulations by Charlie (2022-10-14 08:28:24) |

Under Mystery sequence (in Sequences) Posted on 2022-10-13 (8 Comments) |

| re(3): Solution? - confirmation by Charlie (2022-10-18 11:04:12) |

Under Sliding Puzzle III (in General) Posted on 2022-10-12 (3 Comments) |

| computer solution based on previous Sliding Puzzle program by Charlie (2022-10-12 11:11:43) |

Under Facile probability poser? (in Probability) Posted on 2022-10-09 (4 Comments) |

| simulation by Charlie (2022-10-09 10:00:02) |

Under Bugs and Cubs II (in Cryptography) Posted on 2022-10-07 (5 Comments) |

| my computer findings after seeing Steven Lord's comment by Charlie (2022-10-07 10:56:29) |

Under Air Plane Episode Ascertainment (in Science) Posted on 2022-10-06 (3 Comments) |

| presumably the answer by Charlie (2022-10-06 09:00:22) |

Under Consider, Unit Area, Get Side Length (in Shapes) Posted on 2022-10-05 (3 Comments) |

| computer-aided solution by Charlie (2022-10-05 09:15:23) |

Under Marriage Muse III (in Logic) Posted on 2022-10-03 (6 Comments) |

| re: soln by Charlie (2022-10-03 10:24:39) |

Under The box (2) (in Numbers) Posted on 2022-10-02 (2 Comments) |

| computer solution by Charlie (2022-10-02 12:48:42) |

Under Temperature Temperament V (in Numbers) Posted on 2022-10-01 (2 Comments) |

| computer findings by Charlie (2022-10-01 12:35:19) |

Under Fifth Root Finding (in Algorithms) Posted on 2022-09-29 (1 Comments) |

| a suboptimal algorithm by Charlie (2022-09-29 08:35:46) |

Under Sliding Puzzle II (in General) Posted on 2022-09-28 (3 Comments) |

| computer solution (spoiler) by Charlie (2022-09-28 11:23:35) |

Under Square Overlap Settlement (in Probability) Posted on 2022-09-24 (1 Comments) |

| solution by Charlie (2022-09-24 11:53:27) |

Under NegaDuodecimal Nuance (in Algorithms) Posted on 2022-09-23 (1 Comments) |

| computer solution by Charlie (2022-09-23 11:21:18) |

Under Ring sets (in Geometry) Posted on 2022-09-22 (1 Comments) |

| computer solution by Charlie (2022-09-22 11:55:17) |

Under Arithmetic Sequence Crossed Integer Triplet Puzzle (in Numbers) Posted on 2022-09-21 (4 Comments) |

| another take; same answer by Charlie (2022-09-21 09:29:29) |

Under One, Two, Three, Floor Integral 2 (in Calculus) Posted on 2022-09-20 (1 Comments) |

| computer solution; computer varification by Charlie (2022-09-20 10:54:05) |

Under Split Words Settlement III (in Word Problems) Posted on 2022-09-19 (1 Comments) |

| computer-aided solution (spoilers) by Charlie (2022-09-19 11:58:31) |

Under Sums of floors and fractionals (in Just Math) Posted on 2022-09-18 (6 Comments) |

| computer solution by Charlie (2022-09-18 08:57:01) |

Under Vowel Ratio Resolution (in Word Problems) Posted on 2022-09-17 (3 Comments) |

| computer findings by Charlie (2022-09-17 12:45:06) |

Under Harmonic Harmony 3 (in Numbers) Posted on 2022-09-15 (3 Comments) |

| computer solution by Charlie (2022-09-15 15:06:26) |

Under A Pandigital Multiple Puzzle (in Numbers) Posted on 2022-09-14 (1 Comments) |

| a computer solution by Charlie (2022-09-14 11:18:02) |

Under Colored Board Baffle (in Logic) Posted on 2022-09-13 (7 Comments) |

| computer solution by Charlie (2022-09-13 09:31:32) |

Under Personality, Game, and Term Puzzle (in Word Problems) Posted on 2022-09-11 (6 Comments) |

| re: possible solution? by Charlie (2022-09-11 11:02:46) |

Under Prosecutor Fallacy Poser (in General) Posted on 2022-09-10 (5 Comments) |

| solution by Charlie (2022-09-10 11:48:41) |

Under Scrabble numbers that score themselves (in Word Problems) Posted on 2022-09-09 (1 Comments) |

| computer solution (spoiler) by Charlie (2022-09-09 11:42:36) |

Under Two Cask Mixture Muse (in Weights and Scales) Posted on 2022-09-08 (2 Comments) |

| computer solution by Charlie (2022-09-08 08:26:42) |

Under Double Pressure Predicament (in Science) Posted on 2022-09-05 (6 Comments) |

| inexact solution by Charlie (2022-09-05 09:57:18) |

Under Tautonymic number counting (in Algorithms) Posted on 2022-09-04 (2 Comments) |

| solution (parts 2 and 3) by Charlie (2022-09-04 10:04:04) |

Under Many types (in Liars and Knights) Posted on 2022-09-03 (1 Comments) |

| solution by Charlie (2022-09-03 08:28:47) |

Under Movie Synonym Muse (in Word Problems) Posted on 2022-08-31 (3 Comments) |

| synonyms by Charlie (2022-08-31 11:39:04) |

Under Binary Crossnumber Puzzle - 02 (in General) Posted on 2022-08-30 (4 Comments) |

| No Subject by Charlie (2022-08-30 10:18:57) |

Under Red Flower Survival Surmise (in Probability) Posted on 2022-08-29 (2 Comments) |

| solution by Charlie (2022-08-29 10:45:51) |

Under Guard Schedule Surmise (in Logic) Posted on 2022-08-28 (2 Comments) |

| computer solution by Charlie (2022-08-28 10:44:44) |

Under Forty-one's Forte (in Numbers) Posted on 2022-08-27 (5 Comments) |

| computer solution (spoiler) by Charlie (2022-08-27 09:22:34) |

Under Powering up the digits V (in Numbers) Posted on 2022-08-26 (2 Comments) |

| computer-aided solution by Charlie (2022-08-26 09:09:28) |

Under Cool It Again, Brother (in Science) Posted on 2022-08-22 (2 Comments) |

| Solution (spoiler) by Charlie (2022-08-22 08:00:50) |

Under Product Crossed Square Settlement (in Probability) Posted on 2022-08-19 (5 Comments) |

| computer solution by Charlie (2022-08-19 10:55:53) |

Under Ratio Resolution VII (in Weights and Scales) Posted on 2022-08-16 (3 Comments) |

| computer findings by Charlie (2022-08-16 09:17:38) |

Under Smallest Prime Settlement (in Numbers) Posted on 2022-08-14 (3 Comments) |

| computer solution by Charlie (2022-08-14 10:50:14) |

Under Cubic Diophantine Conclusion II (in Numbers) Posted on 2022-08-13 (2 Comments) |

| computer solution by Charlie (2022-08-13 11:41:12) |

Under 7 somewhere (in Numbers) Posted on 2022-08-12 (16 Comments) |

| re(4): solution by Charlie (2022-08-15 16:57:51) |

| re(2): solution by Charlie (2022-08-14 20:15:43) |

| re: solution by Charlie (2022-08-12 19:43:16) |

| solution by Charlie (2022-08-12 15:03:15) |

Under Ice Cube Mystery (in Science) Posted on 2022-08-09 (2 Comments) |

| re: Lots of alcohol by Charlie (2022-08-09 11:57:21) |

Under Perplexus arrangement (in Just Math) Posted on 2022-08-08 (1 Comments) |

| three ways (spoiler) by Charlie (2022-08-08 08:48:10) |

Under Singular Squares II (in Numbers) Posted on 2022-08-06 (3 Comments) |

| computer solution by Charlie (2022-08-06 09:55:01) |

Under Missing Duodecimal Digit Determination (in Numbers) Posted on 2022-08-04 (6 Comments) |

| solution by Charlie (2022-08-04 09:31:39) |

Under Digital Root Unity (in Numbers) Posted on 2022-08-03 (3 Comments) |

| solution by Charlie (2022-08-03 08:06:09) |

Under 888...888 (in Numbers) Posted on 2022-08-02 (10 Comments) |

| computer-aided solution by Charlie (2022-08-02 09:23:26) |

Under Super Exponentiation Surmise (in Just Math) Posted on 2022-07-31 (13 Comments) |

| trial and error annotated by Charlie (2022-07-31 09:26:33) |

Under Physicist Anagram Ascertainment (in Word Problems) Posted on 2022-07-30 (6 Comments) |

| re: H I n t s by Charlie (2022-07-31 06:32:33) |

| A few more by Charlie (2022-07-30 09:30:07) |

| A Start by Charlie (2022-07-30 07:14:42) |

Under Half Integer Base Baffle (in Algorithms) Posted on 2022-07-29 (2 Comments) |

| The "standard" method? by Charlie (2022-07-29 11:17:19) |

| starting computer solution by Charlie (2022-07-29 10:21:02) |

Under From sum to addends 2 (in Numbers) Posted on 2022-07-28 (3 Comments) |

| computer solution by Charlie (2022-07-28 11:40:05) |

Under Product Crossed Pointed Ratio Puzzle (in Numbers) Posted on 2022-07-27 (7 Comments) |

| re(2): computer solution - 3 other solutions by Charlie (2022-07-28 16:34:23) |

| re: computer solution formatting improved by Charlie (2022-07-27 18:16:35) |

| computer solution by Charlie (2022-07-27 11:51:44) |

Under Bronze Ball Contest Conclusion (in Science) Posted on 2022-07-25 (4 Comments) |

| re: One way to do it (spoiler) by Charlie (2022-07-25 11:33:11) |

Under 381654729 (in Just Math) Posted on 2022-07-23 (6 Comments) |

| re(3): Hint? @ Charlie by Charlie (2022-07-30 15:10:33) |

| re: Hint? by Charlie (2022-07-25 15:50:41) |

Under Perfect Powers with no Repeat Digits (in Numbers) Posted on 2022-07-22 (1 Comments) |

| computer solution by Charlie (2022-07-22 12:56:28) |

Under A square deal (in Sequences) Posted on 2022-07-18 (4 Comments) |

| computer solution by Charlie (2022-07-18 08:33:49) |

Under TV Show Travail (in Logic) Posted on 2022-07-16 (3 Comments) |

| computer solution by Charlie (2022-07-16 10:28:02) |

Under Spellements 2 (in General) Posted on 2022-07-15 (12 Comments) |

| Another try by Charlie (2022-07-17 17:14:23) |

| re(5): Not the scoring method I had in mind, but ... by Charlie (2022-07-17 09:59:14) |

| re(3): Not the scoring method I had in mind, but ... by Charlie (2022-07-17 06:40:14) |

| re: Not the scoring method I had in mind, but ... by Charlie (2022-07-16 17:32:33) |

| the start of the remainder of the list by Charlie (2022-07-15 11:23:25) |

| The start of the list by Charlie (2022-07-15 11:21:28) |

| computer method by Charlie (2022-07-15 11:17:34) |

Under Getting Better on the Elo Ratings (in Logic) Posted on 2022-07-14 (8 Comments) |

| re: One way (solution) by Charlie (2022-07-14 09:41:58) |

| computer solution by Charlie (2022-07-14 09:28:00) |

Under The Game of Keno (in Probability) Posted on 2022-07-12 (3 Comments) |

| re: Solution by Charlie (2022-07-12 10:58:04) |

Under Three clocks (in Just Math) Posted on 2022-07-10 (6 Comments) |

| solution by Charlie (2022-07-10 09:53:53) |

Under Spellements (in General) Posted on 2022-07-09 (1 Comments) |

| computer solution by Charlie (2022-07-09 12:08:29) |

Under SOD(power) = power (in Numbers) Posted on 2022-07-07 (1 Comments) |

| computer solution by Charlie (2022-07-07 11:23:51) |

Under Euler was wrong (in Just Math) Posted on 2022-07-06 (3 Comments) |

| computer solution by Charlie (2022-07-06 12:04:20) |

Under Mrs. Arithmetic and Mrs. Algebra (in Numbers) Posted on 2022-07-05 (4 Comments) |

| computer-aided solution by Charlie (2022-07-05 13:11:05) |

Under Pro and con (in Word Problems) Posted on 2022-07-03 (9 Comments) |

| computer solution (spoiler) by Charlie (2022-07-03 09:22:13) |

Under A Pair of Factorial Quartic Equations (in Numbers) Posted on 2022-07-02 (4 Comments) |

| very computerized solution by Charlie (2022-07-02 10:32:34) |

Under West of Evan, East of Odin (in Numbers) Posted on 2022-06-29 (1 Comments) |

| computer solution by Charlie (2022-06-29 12:20:36) |

Under Three Card Trial (in Logic) Posted on 2022-06-26 (4 Comments) |

| hmmm... by Charlie (2022-06-26 09:29:59) |

Under Apples, Bananas, and Oranges Puzzle (in Liars and Knights) Posted on 2022-06-25 (3 Comments) |

| solution by Charlie (2022-06-25 12:22:32) |

Under Egyptian Fraction Expression (in Numbers) Posted on 2022-06-24 (3 Comments) |

| computer solution by Charlie (2022-06-24 12:36:49) |

Under Matchstick Movement Muse (in General) Posted on 2022-06-21 (3 Comments) |

| computer solution by Charlie (2022-06-21 11:33:02) |

Under Why Eat? (in Word Problems) Posted on 2022-06-20 (2 Comments) |

| re: Why Eat? by Charlie (2022-06-20 08:31:41) |

| Why Eat? by Charlie (2022-06-20 08:05:05) |

Under Pizza Topping Treat (in Logic) Posted on 2022-06-19 (4 Comments) |

| computer solution by Charlie (2022-06-19 09:44:19) |

Under X and Lucky Seven Settlement (in Numbers) Posted on 2022-06-18 (3 Comments) |

| mostly computer solution by Charlie (2022-06-18 09:36:30) |

Under Hexagon area ratio (in Geometry) Posted on 2022-06-15 (1 Comments) |

| computer-aided solution (spoiler) by Charlie (2022-06-15 10:09:35) |

Under Primorial Penultimate Piece (in Numbers) Posted on 2022-06-14 (2 Comments) |

| computer solution by Charlie (2022-06-14 11:19:53) |

Under Decimal Specification (in Numbers) Posted on 2022-06-13 (3 Comments) |

| computer solution by Charlie (2022-06-13 09:02:41) |

Under Card Identification Illation (in Logic) Posted on 2022-06-12 (4 Comments) |

| solution by Charlie (2022-06-12 10:09:47) |

Under Arithmetic Derivative (in Numbers) Posted on 2022-06-10 (7 Comments) |

| re: bits and pieces by Charlie (2022-06-10 15:50:51) |

| Python version for 1 & 2 by Charlie (2022-06-10 14:47:36) |

| re(2): part (3) expanded to 5-digit n (continued) by Charlie (2022-06-10 11:10:09) |

| re: part (3) expanded to 5-digit n (continued) by Charlie (2022-06-10 11:09:09) |

| part (3) expanded to 5-digit n by Charlie (2022-06-10 11:07:23) |

| computer solution by Charlie (2022-06-10 11:02:48) |

Under Sorta Platonic... (in Numbers) Posted on 2022-06-09 (3 Comments) |

| testing only to the limit of double precision floating point by Charlie (2022-06-09 10:08:23) |

Under Maximum Palindrome Count Muse (in Numbers) Posted on 2022-06-07 (3 Comments) |

| computer solution by Charlie (2022-06-07 10:23:45) |

Under Quaint Quadruplet Query (in Numbers) Posted on 2022-06-06 (5 Comments) |

| computer exploration -- no proof of completeness by Charlie (2022-06-06 08:08:37) |

Under '- subject to availability -' (in Probability) Posted on 2022-06-02 (7 Comments) |

| re: We need a third simulation by Charlie (2022-06-02 14:07:55) |

| solution by simulation by Charlie (2022-06-02 11:32:17) |

Under Last house on the street (in Just Math) Posted on 2022-05-31 (7 Comments) |

| if thee were only odd numbers on his side by Charlie (2022-05-31 16:26:01) |

| On the assumption all houses were on his side by Charlie (2022-05-31 12:28:39) |

| my solution by Charlie (2022-05-31 11:58:59) |

Under Forty Four Digit Decision (in Numbers) Posted on 2022-05-30 (2 Comments) |

| solution by Charlie (2022-05-30 11:37:17) |

Under Lexicographic Listing (in Algorithms) Posted on 2022-05-29 (3 Comments) |

| added list by Charlie (2022-05-29 17:47:09) |

| solution by Charlie (2022-05-29 13:34:23) |

Under An Integer Product (in Numbers) Posted on 2022-05-26 (7 Comments) |

| re(3): demonstration by Charlie (2022-05-27 06:49:06) |

| re(2): demonstration by Charlie (2022-05-26 17:28:51) |

| verification as integers by Charlie (2022-05-26 10:43:32) |

Under Consecutive Conclusion II (in Sequences) Posted on 2022-05-25 (3 Comments) |

| computer solution by Charlie (2022-05-25 11:41:48) |

Under Queen and Bishop Query (in Games) Posted on 2022-05-24 (2 Comments) |

| The full program in one piece, and a variation. by Charlie (2022-05-25 06:58:54) |

| computer solution by Charlie (2022-05-24 12:39:05) |

Under Tricky Vowel Arrangement (in Shapes) Posted on 2022-05-23 (2 Comments) |

| solution -- exploded view by Charlie (2022-05-23 08:44:13) |

Under Card Shuffle Conclusion (in Probability) Posted on 2022-05-20 (1 Comments) |

| computer-aided solution by Charlie (2022-05-20 14:01:31) |

Under Only integer answers (in Just Math) Posted on 2022-05-19 (8 Comments) |

| Matlab version by Charlie (2022-05-19 10:21:07) |

Under Fifth Thursdays and Sundays (in Algorithms) Posted on 2022-05-17 (1 Comments) |

| solution as I think intended by Charlie (2022-05-17 12:27:15) |

Under Checkerboard Chance Conclusion II (in Probability) Posted on 2022-05-16 (2 Comments) |

| solution by Charlie (2022-05-16 10:42:35) |

Under Roman Square Root Resolution (in Algorithms) Posted on 2022-05-15 (6 Comments) |

| Implementation of the idea by Charlie (2022-05-15 10:59:12) |

Under A very sparse Sudoku (in Numbers) Posted on 2022-05-14 (4 Comments) |

| computer-aided solution (spoiler) by Charlie (2022-05-14 11:19:59) |

Under 2^n mod n (in Just Math) Posted on 2022-05-13 (3 Comments) |

| re: Parts 1, 2, and 4 (and probably 3) by Charlie (2022-05-13 11:46:37) |

Under Googol vs Googolplex (in Numbers) Posted on 2022-05-12 (3 Comments) |

| computer solution by Charlie (2022-05-12 10:46:20) |

Under Completing factorial (in Numbers) Posted on 2022-05-11 (1 Comments) |

| solution by Charlie (2022-05-11 11:40:02) |

Under Even percents (in Numbers) Posted on 2022-05-10 (3 Comments) |

| not necessarily minimal by Charlie (2022-05-10 12:50:43) |

Under 2 incompatible words (in Word Problems) Posted on 2022-05-09 (3 Comments) |

| with computer assistance (spoiler) by Charlie (2022-05-09 08:33:26) |

Under Car Thief Identification (in Logic) Posted on 2022-05-08 (5 Comments) |

| some thoughts by Charlie (2022-05-08 12:31:08) |

Under Colored Marble Muse (in Probability) Posted on 2022-05-07 (4 Comments) |

| re: Solution by cases by Charlie (2022-05-07 23:03:13) |

| computer-aided solution by Charlie (2022-05-07 13:24:06) |

Under Capital Crossed Creature Conclusion (in Word Problems) Posted on 2022-05-06 (1 Comments) |

| With some computer assistance (spoiler) by Charlie (2022-05-06 10:00:25) |

Under Seven Shirt Settlement (in Logic) Posted on 2022-05-05 (3 Comments) |

| computer solution by Charlie (2022-05-05 12:17:10) |

Under 50 - Digit Number III (in Numbers) Posted on 2022-05-04 (7 Comments) |

| computer solution by Charlie (2022-05-04 12:50:44) |

Under Mixed Fraction Product Poser (in Just Math) Posted on 2022-05-03 (7 Comments) |

| computer solution by Charlie (2022-05-03 08:24:10) |

Under Two Family Travail (in Liars and Knights) Posted on 2022-05-01 (2 Comments) |

| computer solution by Charlie (2022-05-01 10:22:57) |

Under Ten Box Trial (in Weights and Scales) Posted on 2022-04-29 (10 Comments) |

| computer solution by Charlie (2022-04-29 09:36:14) |

| possible intent by Charlie (2022-04-29 08:12:53) |

Under The Playlist (in Probability) Posted on 2022-04-28 (2 Comments) |

| solutions by Charlie (2022-04-28 09:08:10) |

Under Counting words (in Just Math) Posted on 2022-04-27 (7 Comments) |

| re: How to get to a closed form? by Charlie (2022-04-27 13:39:00) |

| re: solution -- correction by Charlie (2022-04-27 08:50:11) |

| solution by Charlie (2022-04-27 08:36:49) |

Under Find all Numbers II (in Numbers) Posted on 2022-04-24 (4 Comments) |

| computer solution by Charlie (2022-04-24 09:42:46) |

Under Animal Portraits Ascertainment (in Logic) Posted on 2022-04-21 (3 Comments) |

| the computer method by Charlie (2022-04-21 08:55:19) |

Under 3 Pals make a Pal (in Numbers) Posted on 2022-04-20 (2 Comments) |

| parts a and b by Charlie (2022-04-20 12:50:54) |

Under Move the digit, Change the base (in Numbers) Posted on 2022-04-19 (10 Comments) |

| Summary -- if it had been right from the start by Charlie (2022-04-21 09:17:31) |

| re(6): computer exploration -- c and d finally by Charlie (2022-04-20 14:46:17) |

| re(5): computer exploration -- all right, got b by Charlie (2022-04-19 19:03:46) |

| re(4): computer exploration -- c and d finally by Charlie (2022-04-19 18:57:59) |

| re(2): computer exploration by Charlie (2022-04-19 13:46:52) |

| computer exploration by Charlie (2022-04-19 11:16:24) |

Under L OR H (in Weights and Scales) Posted on 2022-04-18 (4 Comments) |

| solution by Charlie (2022-04-18 11:43:54) |

Under From a to z (in Just Math) Posted on 2022-04-17 (7 Comments) |

| solution by Charlie (2022-04-17 08:24:58) |

Under Mixture Mix Muse (in Science) Posted on 2022-04-16 (5 Comments) |

| re: Solution by Charlie (2022-04-16 19:19:05) |

Under Divisible by 13 (in Algorithms) Posted on 2022-04-15 (11 Comments) |

| Test for 20,220-digit numbers by Charlie (2022-04-15 14:48:27) |

| re: No Subject by Charlie (2022-04-15 14:02:01) |

| re: No Subject by Charlie (2022-04-15 11:23:57) |

| re: My favorite by Charlie (2022-04-15 11:18:26) |

Under Summing up II (in Sequences) Posted on 2022-04-14 (2 Comments) |

| probable solution by Charlie (2022-04-14 09:59:56) |

Under 225 as a factor (in Numbers) Posted on 2022-04-12 (7 Comments) |

| re(3): Analytic solution by Charlie (2022-04-30 07:29:52) |

| re: Analytic solution by Charlie (2022-04-12 12:37:05) |

Under Digit Replacement and Square Settlement (in Numbers) Posted on 2022-04-11 (5 Comments) |

| going farther by Charlie (2022-04-11 08:17:18) |

Under Eventual Inverse Function (in Just Math) Posted on 2022-04-08 (1 Comments) |

| a set of solutions by Charlie (2022-04-10 06:21:47) |

Under All the nines (in Numbers) Posted on 2022-04-07 (8 Comments) |

| re(4): possible computer solution(s) by Charlie (2022-04-09 12:30:58) |

| re(3): possible computer solution(s) by Charlie (2022-04-09 12:05:36) |

| re: possible computer solution(s) by Charlie (2022-04-07 10:16:27) |

| possible computer solution(s) by Charlie (2022-04-07 09:48:48) |

Under Darn you Wordle! (in Word Problems) Posted on 2022-04-05 (6 Comments) |

| First a hunch, then computer search by Charlie (2022-04-05 09:54:30) |

Under A Kiss solution (in General) Posted on 2022-04-04 (9 Comments) |

| re: Solution by Charlie (2022-04-04 07:13:59) |

Under Letter Ratios II (in Word Problems) Posted on 2022-04-03 (2 Comments) |

| the computer says by Charlie (2022-04-03 10:20:47) |

Under Did Bobby err? (in Numbers) Posted on 2022-04-02 (5 Comments) |

| another route to the solution by Charlie (2022-04-02 14:15:44) |

Under Singer Surmise (in General) Posted on 2022-03-31 (14 Comments) |

| computer exploration by Charlie (2022-03-31 11:32:22) |

Under Flipflop the digits, octuple the number (in Numbers) Posted on 2022-03-30 (5 Comments) |

| re(2): computer solution by Charlie (2022-03-30 20:53:05) |

| computer solution by Charlie (2022-03-30 11:45:13) |

Under Slim chance? (in Probability) Posted on 2022-03-28 (5 Comments) |

| presented graphically by Charlie (2022-03-28 11:32:12) |

Under Word Wangle (in Word Problems) Posted on 2022-03-27 (1 Comments) |

| computer solutions (spoiler) by Charlie (2022-03-27 10:03:06) |

Under Some inflation ! (in Numbers) Posted on 2022-03-24 (4 Comments) |

| computer solution (spoiler) by Charlie (2022-03-24 10:20:47) |

Under A multiple of 42 (in Just Math) Posted on 2022-03-23 (6 Comments) |

| solution by Charlie (2022-03-23 08:57:13) |

Under sum, reciprocals, squares (in Numbers) Posted on 2022-03-22 (4 Comments) |

| Findings by Charlie (2022-03-22 08:58:45) |

Under Ketchup Sachet Settlement (in Science) Posted on 2022-03-21 (6 Comments) |

| ketchup by Charlie (2022-03-21 10:40:47) |

Under Intriguing Word Interior Illation (in Word Problems) Posted on 2022-03-20 (4 Comments) |

| computer solution by Charlie (2022-03-20 09:55:39) |

Under Rational Reverse Crossed Product Resolution (in Numbers) Posted on 2022-03-18 (5 Comments) |

| computer solutions by Charlie (2022-03-18 10:56:12) |

Under Relationship and Sex Settlement (in Logic) Posted on 2022-03-16 (1 Comments) |

| solution by Charlie (2022-03-16 19:15:16) |

Under Palindrome factors (in Numbers) Posted on 2022-03-15 (8 Comments) |

| re: My thoughts on the difficulty of part (B) by Charlie (2022-03-15 21:20:42) |

| part (A) solution and an attempt at (B) by Charlie (2022-03-15 09:22:53) |

Under Mathematical Anagram Muse (in Word Problems) Posted on 2022-03-13 (2 Comments) |

| re: 80% -- other two (computer aided) by Charlie (2022-03-13 11:25:13) |

| 80% by Charlie (2022-03-13 11:09:23) |

Under Pentagonal and Hexagonal Poser (in Numbers) Posted on 2022-03-10 (4 Comments) |

| computer solution by Charlie (2022-03-10 09:22:40) |

Under Inverse Root Difference Crossed Zeros Puzzle (in Just Math) Posted on 2022-03-09 (4 Comments) |

| solution (spoiler) by Charlie (2022-03-09 13:08:19) |

Under Villes Et Etats Des Etats-Unis (in General) Posted on 2022-03-05 (8 Comments) |

| re: soln by Charlie (2022-03-05 13:04:43) |

Under Ratio Resolution VI (in Just Math) Posted on 2022-03-04 (2 Comments) |

| ... or let the computer do the arithmetic by Charlie (2022-03-04 12:55:59) |

Under Year by Year 2 (in Numbers) Posted on 2022-03-02 (1 Comments) |

| solution (spoiler) by Charlie (2022-03-02 13:54:28) |

Under No consecutive 1's (in Numbers) Posted on 2022-02-27 (2 Comments) |

| answer--no proof by Charlie (2022-02-27 10:42:06) |

Under Split Words Settlement (in Word Problems) Posted on 2022-02-26 (2 Comments) |

| solutions by Charlie (2022-02-26 13:04:58) |

Under Very peculiar feature ! (in Numbers) Posted on 2022-02-24 (1 Comments) |

| computer solution (spoiler) by Charlie (2022-02-24 09:02:13) |

Under Announced vs Final rank average (in Probability) Posted on 2022-02-23 (2 Comments) |

| solution by Charlie (2022-02-23 10:14:42) |

Under SOD Crossed 2023 Puzzle (in Just Math) Posted on 2022-02-22 (2 Comments) |

| Direct calculation; a pattern; and persistence limit by Charlie (2022-02-22 14:11:08) |

Under Announced rank average (in Probability) Posted on 2022-02-16 (3 Comments) |

| re(2): solution by Charlie (2022-02-16 23:18:27) |

| solution by Charlie (2022-02-16 11:20:12) |

Under Wordle Word Randomization (in Probability) Posted on 2022-02-14 (3 Comments) |

| Hint by Charlie (2022-02-15 07:50:14) |

Under Continued Floor Elucidation (in Just Math) Posted on 2022-02-13 (2 Comments) |

| solution by Charlie (2022-02-13 10:15:18) |

Under 2 parallel chords (in Geometry) Posted on 2022-02-10 (3 Comments) |

| computer-aided solution by Charlie (2022-02-10 09:38:22) |

Under Five sentences (in Logic) Posted on 2022-02-09 (3 Comments) |

| the computer method by Charlie (2022-02-09 09:52:29) |

Under Visit Validation (in Logic) Posted on 2022-02-08 (1 Comments) |

| solution by Charlie (2022-02-08 09:09:44) |

Under Sum Cubes and Fourth Powers (in Just Math) Posted on 2022-02-02 (4 Comments) |

| re: Solution by Charlie (2022-02-02 11:30:12) |

| computer solution by Charlie (2022-02-02 11:23:58) |

Under Dudeney minus one: Dudezero (in Just Math) Posted on 2022-02-01 (1 Comments) |

| computer solution (spoiler) by Charlie (2022-02-01 07:56:48) |

Under Elemental State Settlement (in Word Problems) Posted on 2022-01-29 (2 Comments) |

| Answers by Charlie (2022-01-29 12:34:18) |

Under Difference is sod sum (in Numbers) Posted on 2022-01-28 (4 Comments) |

| re: FWIW by Charlie (2022-01-28 22:25:49) |

| FWIQ by Charlie (2022-01-28 22:24:45) |

Under Golden Ratio Gradation (in Algorithms) Posted on 2022-01-27 (4 Comments) |

| my take on it by Charlie (2022-01-27 11:42:35) |

Under 2022 Multiple and Palindrome Puzzle (in Numbers) Posted on 2022-01-25 (2 Comments) |

| computer solution by Charlie (2022-01-25 13:33:53) |

Under Fair, Handsome, and Unscarred (in Logic) Posted on 2022-01-20 (3 Comments) |

| solution by Charlie (2022-01-20 18:01:25) |

Under Temperature Reflection 2 (in Just Math) Posted on 2022-01-19 (1 Comments) |

| computer solution by Charlie (2022-01-19 11:32:08) |

Under All in (in Numbers) Posted on 2022-01-18 (4 Comments) |

| re: solutions where I went wrong by Charlie (2022-01-18 22:36:45) |

| solutions by Charlie (2022-01-18 09:27:45) |

Under Letter Addition Crossed Country Conclusion (in Word Problems) Posted on 2022-01-17 (2 Comments) |

| first without then with computer by Charlie (2022-01-17 11:26:45) |

Under Closest approaches (in Geometry) Posted on 2022-01-14 (3 Comments) |

| solution by Charlie (2022-01-14 11:07:23) |

Under Pandiv 143 (in Numbers) Posted on 2022-01-13 (1 Comments) |

| Answers--but not analytical (spoiler) by Charlie (2022-01-13 16:03:30) |

Under Inconsiderable Five-Prime Ratio Illation (in Numbers) Posted on 2022-01-12 (4 Comments) |

| computer solution by Charlie (2022-01-13 08:10:38) |

Under Powers of 3, 4, and 7 Included (in Numbers) Posted on 2022-01-10 (5 Comments) |

| lower number by Charlie (2022-01-10 11:37:04) |

Under Perfect Powered Temperature (in Just Math) Posted on 2022-01-09 (10 Comments) |

| re: A much faster way -- the complete set for up to a trillion by Charlie (2022-01-10 07:39:42) |

| A much faster way by Charlie (2022-01-09 20:31:53) |

| re: Corrigendum by Charlie (2022-01-09 12:10:27) |

| computer solution by Charlie (2022-01-09 10:05:17) |

Under Age of ages (2) (in Just Math) Posted on 2022-01-08 (6 Comments) |

| Can someone correct my logic or find my error? by Charlie (2022-01-08 18:11:58) |

Under Fahrenheit*Celsius equals Perfect Square (in Just Math) Posted on 2022-01-07 (3 Comments) |

| Just a note by Charlie (2022-01-07 19:11:36) |

| computer solution by Charlie (2022-01-07 09:55:28) |

Under Find this word (in Word Problems) Posted on 2022-01-06 (7 Comments) |

| thoughts by Charlie (2022-01-06 09:26:49) |

Under Either way (in Numbers) Posted on 2022-01-05 (8 Comments) |

| re: computer solution (spoiler) -- continued by Charlie (2022-01-05 08:51:06) |

| computer solution (spoiler) by Charlie (2022-01-05 08:49:13) |

Under Etats Des Etats-Unis (in Word Problems) Posted on 2022-01-04 (3 Comments) |

| re: Answers by Charlie (2022-01-04 10:53:14) |

Under Temperature Temperament IV (in Just Math) Posted on 2022-01-03 (3 Comments) |

| computer solution by Charlie (2022-01-03 11:05:09) |

Under function of s.o.d. of prime (in Numbers) Posted on 2021-12-31 (2 Comments) |

| computer solution by Charlie (2021-12-31 10:29:10) |

Under Believe it or not 2 (in Numbers) Posted on 2021-12-30 (2 Comments) |

| computer solution by Charlie (2021-12-30 09:08:52) |

Under KISS solution (in Just Math) Posted on 2021-12-29 (7 Comments) |

| levels by Charlie (2021-12-29 14:55:05) |

Under Armstrong plus one : Armstwo (in Numbers) Posted on 2021-12-27 (3 Comments) |

| MATLAB solution by Charlie (2021-12-27 11:31:01) |

Under Temperature Travail II (in Just Math) Posted on 2021-12-25 (3 Comments) |

| computer solution by Charlie (2021-12-25 19:54:34) |

Under 6 out of 20 (in Cryptography) Posted on 2021-12-23 (6 Comments) |

| solution as far as I could arrange (spoilers) by Charlie (2021-12-24 12:50:19) |

| re(3): No. 1 by Charlie (2021-12-24 11:27:22) |

| re: No. 1 by Charlie (2021-12-24 10:20:16) |

| No. 1 by Charlie (2021-12-24 07:08:23) |

Under The not-always-lying islanders (in Logic) Posted on 2021-12-22 (4 Comments) |

| re: computer solution by Charlie (2021-12-22 13:24:54) |

| computer solution by Charlie (2021-12-22 13:05:05) |

Under Spanish Alphametic Settlement (in Numbers) Posted on 2021-12-21 (3 Comments) |

| Hybrid solution by Charlie (2021-12-21 10:27:47) |

Under Factorion plus one: Factoritwo (in Numbers) Posted on 2021-12-16 (2 Comments) |

| solution by Charlie (2021-12-16 15:43:11) |

Under Straight Up Inequality (in Just Math) Posted on 2021-12-14 (2 Comments) |

| computer guided solution by Charlie (2021-12-14 11:07:53) |

Under Ninety Seven and Divisibility Nuance (in Just Math) Posted on 2021-12-12 (10 Comments) |

| re(5): solution by Charlie (2021-12-12 19:30:50) |

| re(4): solution by Charlie (2021-12-12 18:07:46) |

| re(4): solution by Charlie (2021-12-12 16:26:15) |

| re(2): solution by Charlie (2021-12-12 15:19:21) |

| solution by Charlie (2021-12-12 08:42:40) |

Under AB Crossed Floor Product (in Just Math) Posted on 2021-12-08 (2 Comments) |

| solution by Charlie (2021-12-08 07:37:10) |

Under ABBA words a.k.a. Test #12: (in Word Problems) Posted on 2021-12-07 (3 Comments) |

| computer solutions by Charlie (2021-12-07 10:41:14) |

Under Factorial Removal Resolution (in Just Math) Posted on 2021-12-01 (3 Comments) |

| solution with a little help from the computer by Charlie (2021-12-01 11:50:44) |

Under Count the trailing zeros (in Just Math) Posted on 2021-11-30 (4 Comments) |

| re(2): solution -- answer for base 9 seems wrong by Charlie (2021-11-30 09:44:34) |

| re: solution -- answer for base 9 seems wrong by Charlie (2021-11-30 09:34:41) |

| solution by Charlie (2021-11-30 09:08:32) |

Under Nimble Exponent Extrication (in Just Math) Posted on 2021-11-22 (3 Comments) |

| computer solution by Charlie (2021-11-22 11:56:13) |

Under Prove or verify (in Just Math) Posted on 2021-11-18 (1 Comments) |

| simulation program by Charlie (2021-11-18 16:24:59) |

Under Cubic Arithmetic Conclusion (in Just Math) Posted on 2021-11-16 (4 Comments) |

| computer solution by Charlie (2021-11-16 15:46:39) |

Under Partially illuminated cone (in Calculus) Posted on 2021-11-12 (10 Comments) |

| re: a hundred million points of light by Charlie (2021-11-14 11:44:28) |

| a hundred million points of light by Charlie (2021-11-14 11:24:44) |

| re(2): soln by Charlie (2021-11-12 10:37:41) |

| re: soln by Charlie (2021-11-12 10:34:14) |

Under I am 521634352 (in General) Posted on 2021-11-08 (4 Comments) |

| REMOTE MENTOR by Charlie (2021-11-08 12:09:35) |

Under Pax vobiscum (in General) Posted on 2021-11-05 (4 Comments) |

| re: dona nobis pacem by Charlie (2021-11-08 07:30:00) |

| dona nobis pacem by Charlie (2021-11-07 21:17:09) |

| computer solution by Charlie (2021-11-05 14:55:38) |

Under Hexomino tile enumeration (in Numbers) Posted on 2021-10-27 (4 Comments) |

| computer solution by Charlie (2021-10-27 13:19:01) |

Under Left/Right side story (in Word Problems) Posted on 2021-10-25 (1 Comments) |

| parts 1, 2 and 4 via computer by Charlie (2021-10-25 16:53:20) |

Under Quad-Ominoes (in Numbers) Posted on 2021-10-20 (6 Comments) |

| re: possible solution by Charlie (2021-10-20 11:42:52) |

| solution by Charlie (2021-10-20 11:41:12) |

Under Actual triominoes (in Numbers) Posted on 2021-10-13 (2 Comments) |

| solution by Charlie (2021-10-13 11:42:39) |

Under Expo 7629 (in Numbers) Posted on 2021-09-27 (7 Comments) |

| listing the possibilities--solution by Charlie (2021-09-27 13:13:35) |

Under Imagine the points (in Just Math) Posted on 2021-09-22 (3 Comments) |

| computer solution by Charlie (2021-09-22 11:06:03) |

Under Range (in Just Math) Posted on 2021-09-20 (4 Comments) |

| re: Solution by Charlie (2021-09-20 14:11:26) |

| solution by Charlie (2021-09-20 10:21:05) |

Under 5 equilaterals (in Geometry) Posted on 2021-09-10 (8 Comments) |

| For what it's worth by Charlie (2021-09-12 16:01:39) |

| What it looks like by Charlie (2021-09-12 12:22:34) |

| re: solution(s) --- Correction! by Charlie (2021-09-12 12:03:37) |

| solution(s) by Charlie (2021-09-10 19:55:57) |

Under Grid squares (in Just Math) Posted on 2021-09-03 (7 Comments) |

| Same answer by Charlie (2021-09-03 12:23:16) |

Under Two spherical scoops (in Shapes) Posted on 2021-08-24 (2 Comments) |

| solution by Charlie (2021-08-24 10:31:17) |

Under Inconvenient points (in Just Math) Posted on 2021-08-23 (3 Comments) |

| solution by Charlie (2021-08-23 11:57:46) |

Under More balanced weighing (in Just Math) Posted on 2021-08-20 (4 Comments) |

| Let me count the ways -- computer solution by Charlie (2021-08-20 11:51:12) |

Under 2 neighbours create a square (in Numbers) Posted on 2021-08-19 (9 Comments) |

| solution ++ by Charlie (2021-08-19 10:45:11) |

Under Prime pair equation (in Numbers) Posted on 2021-08-18 (2 Comments) |

| computer exploration by Charlie (2021-08-18 21:48:19) |

Under Planar factor graphs (in Just Math) Posted on 2021-08-16 (16 Comments) |

| re(4): Part 3 - K5 and K3,3 by Charlie (2021-08-19 10:29:52) |

| re(3): Part 3 - K5 and K3,3 by Charlie (2021-08-19 06:55:43) |

| re: Part 3 - K5 and K3,3 by Charlie (2021-08-18 17:54:04) |

| re: Part 3 - K5 and K3,3 by Charlie (2021-08-18 07:46:12) |

| re: Solution parts 1 and 2 by Charlie (2021-08-17 15:35:59) |

| part 3 by computer by Charlie (2021-08-17 11:50:07) |

| re: Setting an upper limit for 3 by Charlie (2021-08-17 08:33:46) |

| Setting an upper limit for 3 by Charlie (2021-08-17 08:23:07) |

| 2b (therefore also 2a) by Charlie (2021-08-16 20:55:45) |

Under Seven (in Sequences) Posted on 2021-08-15 (2 Comments) |

| computer solution by Charlie (2021-08-16 09:32:52) |

Under Factorials and 2 powers (in Just Math) Posted on 2021-08-13 (5 Comments) |

| computer findings by Charlie (2021-08-13 09:22:08) |

Under Many Heads part 2 (in Probability) Posted on 2021-08-02 (2 Comments) |

| trial and error with the computer by Charlie (2021-08-02 13:36:56) |

Under Pyramid from a square (in Shapes) Posted on 2021-07-29 (3 Comments) |

| solution by Charlie (2021-07-29 11:32:35) |

Under Triplet hunt (in Numbers) Posted on 2021-07-27 (3 Comments) |

| computer exploration by Charlie (2021-07-27 11:29:33) |

Under Product of odd primes with distinct digits (in Numbers) Posted on 2021-07-23 (5 Comments) |

| re: Brian and Charlie: note a few details by Charlie (2021-07-27 21:56:47) |

| computer solution by Charlie (2021-07-23 14:16:24) |

Under Four equal digits (in Numbers) Posted on 2021-07-20 (5 Comments) |

| computer solution by Charlie (2021-07-20 13:25:16) |

Under Adjacent Square Sum II (in Just Math) Posted on 2021-07-15 (1 Comments) |

| computer solution (spoiler) by Charlie (2021-07-15 12:07:01) |

Under Special dates (in Science) Posted on 2021-07-06 (41 Comments) |

| re: No Subject by Charlie (2021-07-06 15:51:50) |

| No Subject by Charlie (2021-07-06 15:06:16) |

| a solution by Charlie (2021-07-06 11:47:55) |

Under Prime pairs in power (in Numbers) Posted on 2021-07-05 (6 Comments) |

| limited computer search by Charlie (2021-07-05 09:45:52) |

Under Circle Line Locus (in Just Math) Posted on 2021-07-02 (9 Comments) |

| Well, that's not the curve by Charlie (2021-07-04 09:19:30) |

| re(2): what the curve looks like by Charlie (2021-07-03 20:01:27) |

| re(2): what the curve looks like by Charlie (2021-07-03 19:51:03) |

| re(2): what the curve looks like by Charlie (2021-07-02 21:00:35) |

| what the curve looks like by Charlie (2021-07-02 15:11:51) |

Under Pascal's Lottery (in Probability) Posted on 2021-07-01 (6 Comments) |

| re: Question by Charlie (2021-07-01 15:40:51) |

| partial solution and some thoughts by Charlie (2021-07-01 10:45:25) |

Under Reflection in Rectangle (in Just Math) Posted on 2021-06-30 (5 Comments) |

| solution by Charlie (2021-06-30 11:03:25) |

Under Reversible Cubes (in Numbers) Posted on 2021-06-29 (5 Comments) |

| computer exploration by Charlie (2021-06-29 11:34:06) |

Under Distinct routes (in Numbers) Posted on 2021-06-24 (10 Comments) |

| re(2): solution and discussion by Charlie (2021-06-28 09:46:08) |

| extended by Charlie (2021-06-24 15:23:50) |

| solution and discussion by Charlie (2021-06-24 11:43:36) |

Under Three random squares (in Just Math) Posted on 2021-06-23 (3 Comments) |

| solution by Charlie (2021-06-23 11:51:11) |

Under Digit equivalence (in Just Math) Posted on 2021-06-22 (5 Comments) |

| re(2): solution by Charlie (2021-06-22 17:58:52) |

| solution by Charlie (2021-06-22 10:42:59) |

Under Mixed square (in Numbers) Posted on 2021-06-18 (5 Comments) |

| re: partial answer by Charlie (2021-06-18 13:25:53) |

Under The power of 37 (in Numbers) Posted on 2021-06-17 (3 Comments) |

| foolish extrapolation by Charlie (2021-06-17 10:11:19) |

Under Prime count (in Numbers) Posted on 2021-06-16 (3 Comments) |

| ways by Charlie (2021-06-16 08:50:43) |

| ways by Charlie (2021-06-16 08:50:43) |

Under There Can Be Only Twelve (in Word Problems) Posted on 2021-06-10 (4 Comments) |

| A failed theory by Charlie (2021-06-11 07:40:11) |

Under Double negative (in Numbers) Posted on 2021-06-09 (3 Comments) |

| c and d by Charlie (2021-06-09 14:13:54) |

| main problem and a by Charlie (2021-06-09 14:09:55) |

Under Nine Pointed Sphere (in Shapes) Posted on 2021-06-03 (12 Comments) |

| re: Using plane trig in 3 dimensions -- discrepancy resolved by Charlie (2021-06-06 12:58:23) |

| Using plane trig in 3 dimensions by Charlie (2021-06-05 18:07:02) |

| re(3): Solution -- Using spherical trig by Charlie (2021-06-04 13:48:32) |

| re(3): Solution -- Using spherical trig by Charlie (2021-06-04 13:45:17) |

| re: Solution -- Using spherical trig by Charlie (2021-06-04 06:49:40) |

| re: Picture -- aah and aha by Charlie (2021-06-03 21:19:34) |

Under Let's play Bocce (in Probability) Posted on 2021-06-02 (6 Comments) |

| solution by Charlie (2021-06-02 10:32:07) |

Under Rubik's Swap (in General) Posted on 2021-06-01 (9 Comments) |

| solution -- I think by Charlie (2021-06-01 12:25:59) |

Under Linked List Deleted (in Algorithms) Posted on 2021-05-31 (1 Comments) |

| solution by Charlie (2021-05-31 09:20:21) |

Under Gambler’s dilemma (in Probability) Posted on 2021-05-28 (8 Comments) |

| computer solution by Charlie (2021-05-28 11:12:11) |

Under Four word classes (in Word Problems) Posted on 2021-05-27 (5 Comments) |

| re: from a common word list by Charlie (2021-05-29 08:30:43) |

| from my word list by Charlie (2021-05-27 10:08:34) |

Under Card Deck: Complete a set, before... (in Probability) Posted on 2021-05-25 (3 Comments) |

| re: Solution to extra challenge #2 by Charlie (2021-05-26 15:24:47) |

Under Eleven as mandatory divider (in Sequences) Posted on 2021-05-24 (5 Comments) |

| re: Part a. (but no proof) by Charlie (2021-05-24 12:11:44) |

Under The Loopy Lunatic (in Science) Posted on 2021-05-20 (8 Comments) |

| what I got by Charlie (2021-05-20 11:22:45) |

Under Square creates square (in Numbers) Posted on 2021-05-18 (9 Comments) |

| computer solution by Charlie (2021-05-18 09:05:59) |

Under Hexagon area (in Just Math) Posted on 2021-05-17 (2 Comments) |

| solution by Charlie (2021-05-17 12:18:07) |

Under A Country, a City and a pamphlet (in Numbers) Posted on 2021-05-11 (4 Comments) |

| MATLAB software by Charlie (2021-05-11 23:21:24) |

Under Fibonacci Inequality (in Just Math) Posted on 2021-05-06 (4 Comments) |

| solution by Charlie (2021-05-06 12:42:59) |

Under Plus operator insertion (in Numbers) Posted on 2021-05-03 (2 Comments) |

| solution by Charlie (2021-05-03 08:52:43) |

Under Locus amid two intersecting circles (in Geometry) Posted on 2021-04-30 (5 Comments) |

| Playing with Geometer's Sketchpad by Charlie (2021-04-30 08:50:29) |

Under Reverse and add in binary (in Numbers) Posted on 2021-04-29 (8 Comments) |

| re: Smallest? by Charlie (2021-05-03 09:00:07) |

| there seems to be a pattern here by Charlie (2021-04-29 07:45:10) |

Under Minimize parallelogram diagonal (in Geometry) Posted on 2021-04-28 (4 Comments) |

| solution, intuitively by Charlie (2021-04-28 08:58:52) |

Under Chemical Sequence (in Science) Posted on 2021-04-26 (5 Comments) |

| solution by Charlie (2021-04-26 10:21:06) |

Under Erased to a multiple of 7 (in Numbers) Posted on 2021-04-21 (5 Comments) |

| computer solution by Charlie (2021-04-21 10:39:46) |

Under quadratic ^ quadratic (in General) Posted on 2021-04-06 (4 Comments) |

| proposed solution by Charlie (2021-04-06 10:59:00) |

Under Knight tour in an infinite board (in Just Math) Posted on 2021-04-01 (2 Comments) |

| computer exploration and solution by Charlie (2021-04-01 12:32:23) |

Under Don't walk! (in General) Posted on 2021-03-24 (16 Comments) |

| just a comment by Charlie (2021-03-24 09:59:42) |

Under With or without (in Numbers) Posted on 2021-03-22 (5 Comments) |

| to be more exact by Charlie (2021-03-22 10:22:51) |

Under Induced divisibility (in Just Math) Posted on 2021-03-18 (7 Comments) |

| a pattern by Charlie (2021-03-18 12:41:55) |

| re: Solution (i think) by Charlie (2021-03-18 11:30:59) |

Under The fibbons (in Numbers) Posted on 2021-03-16 (6 Comments) |

| computer solution by Charlie (2021-03-16 10:58:20) |

Under A thin triangle (in Shapes) Posted on 2021-03-11 (3 Comments) |

| computer solution by Charlie (2021-03-11 10:00:29) |

Under Beat The Book (in Probability) Posted on 2021-03-10 (10 Comments) |

| re: Almost Guaranteed profit? by Charlie (2021-03-10 18:33:30) |

| computer calculations by Charlie (2021-03-10 12:39:51) |

Under Numeric card game (in Just Math) Posted on 2021-03-04 (6 Comments) |

| solution by Charlie (2021-03-04 17:21:15) |

Under Reciprocal Equation #6 (in Just Math) Posted on 2021-02-28 (3 Comments) |

| re: computer solution by Charlie (2021-02-28 10:07:32) |

| computer solution by Charlie (2021-02-28 09:41:41) |

Under The class of ‘55’ (in Numbers) Posted on 2021-02-27 (4 Comments) |

| computer solution by Charlie (2021-02-27 15:55:35) |

Under Circular Reasoning (in Probability) Posted on 2021-02-23 (4 Comments) |

| re: A quibble by Charlie (2021-02-23 21:10:29) |

| solution by Charlie (2021-02-23 09:45:48) |

Under Differences of the fraction (in Just Math) Posted on 2021-02-20 (6 Comments) |

| The current hypothesis by Charlie (2021-02-21 18:13:22) |

| re: A boy named Alice by Charlie (2021-02-21 14:07:43) |

| re: Just some guesses by Charlie (2021-02-21 14:06:13) |

| re: Just some guesses (showing the crunched numbers) by Charlie (2021-02-20 18:20:27) |

Under Trapezium in polygon (in Numbers) Posted on 2021-02-18 (3 Comments) |

| computer exploration and solution (spoiler) by Charlie (2021-02-18 10:54:02) |

Under Integer sides of cuboid (in Numbers) Posted on 2021-02-17 (7 Comments) |

| computer solution by Charlie (2021-02-17 10:05:26) |

Under A Rebus (in Word Problems) Posted on 2021-02-15 (2 Comments) |

| Hint by Charlie (2021-02-18 18:59:18) |

Under Less than 100 (in Numbers) Posted on 2021-02-14 (3 Comments) |

| computer solution by Charlie (2021-02-14 08:59:24) |

Under Squares concatenated to square (in Numbers) Posted on 2021-02-13 (3 Comments) |

| computer solutions by Charlie (2021-02-13 14:05:42) |

Under Solve in naturals (in Numbers) Posted on 2021-02-12 (3 Comments) |

| limited search by Charlie (2021-02-12 10:28:19) |

Under As close as possible (in Numbers) Posted on 2021-02-11 (3 Comments) |

| solutions by Charlie (2021-02-11 08:29:18) |

Under As time goes by (in Sequences) Posted on 2021-02-09 (7 Comments) |

| re(2): Error/. Please correct before solving! by Charlie (2021-02-10 13:05:02) |

Under Mission 55 (in Numbers) Posted on 2021-02-08 (6 Comments) |

| even pos- even pos sorted by positions by Charlie (2021-02-08 11:59:26) |

| re: Harder solutions, full answer by Charlie (2021-02-08 11:48:47) |

| computer solution for the full list by Charlie (2021-02-08 10:17:20) |

Under Powered to perfect (in Numbers) Posted on 2021-02-07 (7 Comments) |

| making it more probable by Charlie (2021-02-07 12:02:23) |

Under Isosceles split (in Geometry) Posted on 2021-02-01 (1 Comments) |

| solution by Charlie (2021-02-01 13:01:34) |

Under Entries of a matrix (in Just Math) Posted on 2021-01-29 (5 Comments) |

| Truly computer solution (spoiler) by Charlie (2021-01-29 18:04:44) |

| re: Trivial solution for n=2 by Charlie (2021-01-29 18:02:24) |

Under Three circles on sphere (in Just Math) Posted on 2021-01-27 (2 Comments) |

| an observation by Charlie (2021-01-28 06:55:14) |

Under Never consecutive (in Probability) Posted on 2021-01-26 (7 Comments) |

| reduced fractions by Charlie (2021-01-28 16:18:58) |

| Neatening the table by Charlie (2021-01-27 11:06:16) |

| numerators and denominators separately by Charlie (2021-01-26 13:16:09) |

| by algorithm by Charlie (2021-01-26 11:54:00) |

| simulations for comparison by Charlie (2021-01-26 10:19:46) |

Under 33rd Powers (in Numbers) Posted on 2021-01-25 (5 Comments) |

| simpler solution (D-zero) by Charlie (2021-01-25 10:22:03) |

Under Sort them out (in Word Problems) Posted on 2021-01-23 (4 Comments) |

| Coincidence or not? by Charlie (2021-01-23 08:22:26) |

Under Sweet little sixteen (in Just Math) Posted on 2021-01-18 (2 Comments) |

| No proof but... by Charlie (2021-01-18 10:24:57) |

Under 3 to 6 letters (in Word Problems) Posted on 2021-01-16 (9 Comments) |

| re: 6-letter words via program; smaller from head by Charlie (2021-01-17 13:40:24) |

| re: 6-letter words via program; smaller from head by Charlie (2021-01-17 13:09:02) |

| 6-letter words via program; smaller from head by Charlie (2021-01-17 12:08:48) |

Under Solitaire: Probability Of No First Move (in Probability) Posted on 2021-01-12 (5 Comments) |

| simulations by Charlie (2021-01-12 10:51:48) |

Under Go one, two, three (in Numbers) Posted on 2021-01-09 (6 Comments) |

| re: computer exploration (spoilers) -- just noticed by Charlie (2021-01-09 13:07:47) |

| computer exploration (spoilers) by Charlie (2021-01-09 11:20:47) |

Under 1 2 4 8 (in General) Posted on 2021-01-08 (3 Comments) |

| computer-aided solution by Charlie (2021-01-08 10:41:37) |

Under Go do modulus (in Numbers) Posted on 2021-01-02 (6 Comments) |

| computer exploration by Charlie (2021-01-02 15:33:11) |

Under Not The Weakest Link (in Probability) Posted on 2020-12-28 (8 Comments) |

| The "official" solution is available for comment by Charlie (2020-12-31 07:36:41) |

Under Five numbers and Six sums (in Numbers) Posted on 2020-12-20 (5 Comments) |

| re: Another possibility by Charlie (2020-12-23 10:55:41) |

| MATLAB solution by Charlie (2020-12-20 11:22:22) |

Under Conditional pairs (in Just Math) Posted on 2020-12-19 (7 Comments) |

| program to find a solution by Charlie (2020-12-19 13:12:05) |

Under Box and cube rooted (in Numbers) Posted on 2020-12-14 (7 Comments) |

| re: Solution by Charlie (2020-12-14 13:39:20) |

| re: Solution -- my found value by Charlie (2020-12-14 12:04:51) |

Under 3 and 3 and... (in Numbers) Posted on 2020-12-13 (3 Comments) |

| computer solution -- hope there are no bugs by Charlie (2020-12-13 13:42:11) |

Under Sin sum (in Just Math) Posted on 2020-12-11 (14 Comments) |

| Max and Min biased, but constant difference between by Charlie (2020-12-11 10:40:21) |

Under Complete number (in Numbers) Posted on 2020-12-09 (3 Comments) |

| computer solution by Charlie (2020-12-09 12:35:15) |

Under Equation in integers (in Numbers) Posted on 2020-12-06 (5 Comments) |

| computer exploration by Charlie (2020-12-06 15:37:26) |

Under Shortest way to a million (in Numbers) Posted on 2020-12-03 (15 Comments) |

| re: A start by Charlie (2020-12-03 10:38:07) |

Under Missing side of hexagon (in Geometry) Posted on 2020-12-02 (2 Comments) |

| solution by Charlie (2020-12-02 14:33:00) |

Under Concatenation equals Sum of Squares (in Numbers) Posted on 2020-12-01 (5 Comments) |

| re(3): soln by Charlie (2020-12-01 14:52:17) |

| re: soln by Charlie (2020-12-01 12:48:00) |

Under Permuted sums (in Just Math) Posted on 2020-11-30 (7 Comments) |

| solving for the original numbers with MATLAB by Charlie (2020-11-30 10:28:10) |

Under Weird shuffling (in Just Math) Posted on 2020-11-29 (8 Comments) |

| re(4): computer verification -- simulation by Charlie (2020-11-30 20:08:28) |

| re(3): computer verification -- simulation by Charlie (2020-11-29 20:57:32) |

| re(2): computer verification -- simulation by Charlie (2020-11-29 20:50:02) |

| re: computer verification -- bug -- changed result by Charlie (2020-11-29 18:43:18) |

| computer verification by Charlie (2020-11-29 15:40:07) |

Under 2 absent digits (in Numbers) Posted on 2020-11-28 (6 Comments) |

| computer solution with an extension by Charlie (2020-11-28 12:30:37) |

Under Maximal of a function (in Calculus) Posted on 2020-11-25 (2 Comments) |

| also minima by Charlie (2020-11-25 15:09:57) |

| No proof, but approx max found by Charlie (2020-11-25 14:24:53) |

Under Rubik's cut (in Just Math) Posted on 2020-11-24 (2 Comments) |

| solution by Charlie (2020-11-24 13:00:13) |

Under Calculator at rescue? (in Just Math) Posted on 2020-11-23 (5 Comments) |

| What does it mean? by Charlie (2020-11-23 10:38:24) |

Under Why Fight II (in Numbers) Posted on 2020-11-18 (1 Comments) |

| computer alphametic solution; manual matching of the phrases by Charlie (2020-11-18 14:53:32) |

Under Go left of the number (in Numbers) Posted on 2020-11-15 (5 Comments) |

| an idea (with spoiler--solution) by Charlie (2020-11-15 11:49:18) |

Under Dive deep after the decimal point (in Numbers) Posted on 2020-11-13 (2 Comments) |

| unsatisfying computer solution by Charlie (2020-11-14 20:40:24) |

Under Fit the middle digit (in Numbers) Posted on 2020-11-12 (4 Comments) |

| computer solution by Charlie (2020-11-12 16:11:33) |

Under Clock a doodle do (in Just Math) Posted on 2020-11-09 (4 Comments) |

| re: solution -- the times by Charlie (2020-11-09 12:18:44) |

| solution by Charlie (2020-11-09 09:55:43) |

Under Sequence number compressed (in Just Math) Posted on 2020-10-28 (7 Comments) |

| re(2): computer solution by Charlie (2020-10-28 19:11:07) |

| computer solution by Charlie (2020-10-28 10:52:22) |

Under Money giveaway (in Numbers) Posted on 2020-10-26 (5 Comments) |

| re: A possible generalization by Charlie (2020-10-29 10:30:24) |

| The values by Charlie (2020-10-26 15:25:56) |

Under Quick divisibility (in Numbers) Posted on 2020-10-20 (8 Comments) |

| the computer method by Charlie (2020-10-20 09:33:54) |

Under Concatenation of Prime Factors is Pandigital (in Numbers) Posted on 2020-10-15 (2 Comments) |

| computer solution -- spoiler by Charlie (2020-10-15 10:39:46) |

Under Find the pairs (in Numbers) Posted on 2020-10-13 (21 Comments) |

| computer exploration by Charlie (2020-10-13 10:22:11) |

Under The angle bisectors (in Geometry) Posted on 2020-10-10 (1 Comments) |

| computer solution by Charlie (2020-10-10 15:29:57) |

Under Pages and Squires 2 (in Liars and Knights) Posted on 2020-10-08 (2 Comments) |

| solution without proof of uniqueness by Charlie (2020-10-08 13:47:48) |

Under Gold-in pyramid (in Shapes) Posted on 2020-10-06 (7 Comments) |

| re(2): computer solution by Charlie (2020-10-07 15:50:23) |

| re: computer solution by Charlie (2020-10-07 09:06:12) |

| computer solution by Charlie (2020-10-07 06:59:46) |

Under All odd digit (in Numbers) Posted on 2020-10-05 (7 Comments) |

| solution by Charlie (2020-10-05 10:49:40) |

Under Triplets cubed (in Numbers) Posted on 2020-10-04 (3 Comments) |

| part b by Charlie (2020-10-04 12:02:58) |

| part a by Charlie (2020-10-04 11:57:36) |

Under Look b4 U leap (in Logic) Posted on 2020-10-02 (8 Comments) |

| just to make it the intended target by Charlie (2020-10-02 13:48:47) |

Under Prime equation 2 (in Numbers) Posted on 2020-10-01 (4 Comments) |

| computer findings by Charlie (2020-10-01 09:45:39) |

Under What follows? (in Sequences) Posted on 2020-09-26 (2 Comments) |

| I don't know if this helps, but... by Charlie (2020-09-26 08:01:53) |

Under Extreme inequality (in Just Math) Posted on 2020-09-23 (4 Comments) |

| continuation: computer exploration--probably complete solution by Charlie (2020-09-23 09:40:49) |

| computer exploration--probably complete solution by Charlie (2020-09-23 09:38:48) |

Under Must be prime (in Sequences) Posted on 2020-09-22 (1 Comments) |

| one possible take on it by Charlie (2020-09-22 10:58:39) |

Under An Iterated Floor Equation (in Numbers) Posted on 2020-09-15 (9 Comments) |

| the graph and table method by Charlie (2020-09-15 13:54:23) |

Under 50 - or more (in Numbers) Posted on 2020-09-10 (14 Comments) |

| re(3): Record by Charlie (2020-09-17 07:11:11) |

| re(3): some hints & remarks @ Ch by Charlie (2020-09-11 07:38:31) |

| re: Record by Charlie (2020-09-10 20:58:48) |

| another, higher by Charlie (2020-09-10 15:17:37) |

| computer finding by Charlie (2020-09-10 14:25:40) |

Under 2 related tasks (in Numbers) Posted on 2020-09-07 (5 Comments) |

| Another solution for first by Charlie (2020-09-08 06:35:47) |

Under Cities, Countries and Colors (in Word Problems) Posted on 2020-09-06 (2 Comments) |

| some computer assistance by Charlie (2020-09-06 11:29:06) |

Under WG’s unique number (in Numbers) Posted on 2020-09-04 (8 Comments) |

| re: alternatively.... by Charlie (2020-09-04 21:47:07) |

| computer method solution by Charlie (2020-09-04 11:57:15) |

Under A peculiar function! (in Just Math) Posted on 2020-09-03 (5 Comments) |

| re: computer solution and a fitted polynomial by Charlie (2020-09-03 18:49:18) |

| computer solution and a fitted polynomial by Charlie (2020-09-03 12:11:10) |

Under Permuted average (in Numbers) Posted on 2020-09-01 (4 Comments) |

| computer solution and discussion by Charlie (2020-09-01 11:00:36) |

Under Now, before and later (in Numbers) Posted on 2020-08-26 (2 Comments) |

| Is this a solution? by Charlie (2020-08-26 15:49:59) |

Under Square Reciprocal Summation (in Just Math) Posted on 2020-08-25 (5 Comments) |

| re: Here is another... No computer used this time. by Charlie (2020-08-26 07:13:04) |

| UBASIC solution by Charlie (2020-08-25 11:22:20) |

Under Check this sequence (in Sequences) Posted on 2020-08-24 (3 Comments) |

| parts 1 & 2 - computer solution by Charlie (2020-08-24 20:07:33) |

Under Average Of Digits of powers (in Numbers) Posted on 2020-08-20 (7 Comments) |

| re(3): Misunderstanding of Part 3 by Charlie (2020-08-23 18:40:22) |

| computer solution by Charlie (2020-08-20 21:38:52) |

Under Ask and solve cubes (in Numbers) Posted on 2020-08-17 (5 Comments) |

| re(2): computer solution by Charlie (2020-08-25 11:31:12) |

| computer solution by Charlie (2020-08-17 14:43:53) |

Under Numbered Balls in Test Tubes 2 (in Logic) Posted on 2020-08-10 (5 Comments) |

| re: One way - may not be optimal? by Charlie (2020-08-11 07:10:50) |

Under Cosine cups (in Shapes) Posted on 2020-08-07 (7 Comments) |

| re: Solution by Charlie (2020-08-10 07:31:54) |

| re: Solution by Charlie (2020-08-09 21:52:30) |

| re: If... by Charlie (2020-08-08 07:35:07) |

| If... by Charlie (2020-08-07 12:09:02) |

Under Three Digit Number 3 (in Numbers) Posted on 2020-08-05 (5 Comments) |

| choices, with solution by Charlie (2020-08-05 12:32:40) |

Under Erase a prime (in Numbers) Posted on 2020-08-03 (5 Comments) |

| computer solution by Charlie (2020-08-03 13:45:23) |

Under Yoshigahara's Masterpiece (in Logic) Posted on 2020-07-31 (3 Comments) |

| re(2): Ez by Charlie (2020-09-02 06:57:33) |

Under Gamow's Elevator (in Probability) Posted on 2020-07-26 (10 Comments) |

| re(3): what I have so far... -- Hint by Charlie (2020-07-28 07:03:03) |

| re: what I have so far... -- Hint by Charlie (2020-07-27 21:51:43) |

| clarifications by Charlie (2020-07-27 07:03:52) |

Under 7 matches (in Word Problems) Posted on 2020-07-15 (3 Comments) |

| computer solution by Charlie (2020-07-15 22:52:22) |

Under A prime and a cube (in Numbers) Posted on 2020-07-13 (11 Comments) |

| re(2): Just an observation (on an interesting program line) by Charlie (2020-07-14 07:35:28) |

| re(2): Just an observation by Charlie (2020-07-13 17:32:39) |

| re: Just an observation by Charlie (2020-07-13 15:44:09) |

| Just an observation by Charlie (2020-07-13 15:23:45) |

Under 7 hypotenuses (in Numbers) Posted on 2020-07-10 (4 Comments) |

| re: Research by Charlie (2020-07-13 07:48:35) |

| computer solution by Charlie (2020-07-10 10:24:33) |

Under Four generations (in Numbers) Posted on 2020-07-06 (9 Comments) |

| apologies to steven by Charlie (2020-07-06 10:34:16) |

| re: part 1 via computer by Charlie (2020-07-06 10:22:55) |

| computer solution by Charlie (2020-07-06 10:15:25) |

Under Average other (in Numbers) Posted on 2020-07-01 (6 Comments) |

| computer solution by Charlie (2020-07-01 18:55:33) |

Under A coded text (in General) Posted on 2020-06-26 (5 Comments) |

| VB program and solution by Charlie (2020-06-26 14:34:05) |

Under Best quotient (in Word Problems) Posted on 2020-06-24 (4 Comments) |

| No Subject by Charlie (2020-06-24 21:03:13) |

Under Fibo's common divider (in Sequences) Posted on 2020-06-10 (4 Comments) |

| re: computer solution by Charlie (2020-06-11 05:49:13) |

| computer solution by Charlie (2020-06-10 19:18:12) |

Under Can you do it? (in Games) Posted on 2020-06-08 (4 Comments) |

| solution by Charlie (2020-06-08 21:40:37) |

Under Almost a half (in Just Math) Posted on 2020-05-15 (6 Comments) |

| re(2): solution (to tedious to do manually) by Charlie (2020-05-15 10:59:52) |

| solution (to tedious to do manually) by Charlie (2020-05-15 09:46:18) |

| re: Possible solution by Charlie (2020-05-15 09:42:06) |

Under Luck beats theory (in Probability) Posted on 2020-05-04 (3 Comments) |

| a. and b. by Charlie (2020-05-04 22:54:55) |

Under WG's portfolio (in Just Math) Posted on 2020-04-27 (4 Comments) |

| agree with xdog's solution by Charlie (2020-04-27 18:56:14) |

Under Two Digit Average 2 (in Numbers) Posted on 2020-04-15 (2 Comments) |

| of course by Charlie (2020-04-16 07:58:35) |

Under Select the right subset (in Word Problems) Posted on 2020-04-10 (3 Comments) |

| re: max found by computer by Charlie (2020-04-10 11:45:01) |

| re: max found by computer by Charlie (2020-04-10 11:34:42) |

| max found by computer by Charlie (2020-04-10 11:28:58) |

Under Digits of numbers (in Numbers) Posted on 2020-03-30 (4 Comments) |

| solution by Charlie (2020-03-30 21:12:59) |

Under p(Ascending Number) closest to .01 (in Probability) Posted on 2020-03-16 (3 Comments) |

| the full set by Charlie (2020-03-16 15:08:07) |

Under What time is it now? (in General) Posted on 2020-03-09 (7 Comments) |

| re: Solution by Charlie (2020-03-09 18:53:00) |

Under The Celebrated Jumping Frog of Perplexus County (in Probability) Posted on 2020-03-04 (2 Comments) |

| analysis and simulation by Charlie (2020-03-04 12:34:07) |

Under Thrifty dates (in Numbers) Posted on 2020-02-22 (3 Comments) |

| computer solution --posted a bit later than 20:20 GMT by Charlie (2020-02-22 14:13:08) |

Under Coded Crossword 3 (in Cryptography) Posted on 2020-02-21 (4 Comments) |

| manual solution with computer assistance for making substitutions by Charlie (2020-02-22 14:49:53) |

Under pot draw permutations (in Numbers) Posted on 2020-02-12 (2 Comments) |

| outline of a solution methodology by Charlie (2020-02-12 19:01:48) |

Under Certain old trade (in General) Posted on 2020-01-22 (5 Comments) |

| needs someone who knows Italian by Charlie (2020-01-22 10:22:58) |

Under 13 L2L (in Word Problems) Posted on 2019-12-25 (8 Comments) |

| some thoughts by Charlie (2019-12-25 21:21:57) |

Under Three Squares make a Triangle (in Shapes) Posted on 2019-12-23 (3 Comments) |

| partial approximate solution via GSP by Charlie (2019-12-23 13:32:32) |

Under Poetry, not poverty (in Just Math) Posted on 2019-12-18 (2 Comments) |

| computer solution (spoiler) by Charlie (2019-12-18 12:34:41) |

Under Gold in the Exponent (in Numbers) Posted on 2019-12-11 (6 Comments) |

| computer solution by Charlie (2019-12-11 12:47:13) |

Under Nobody's Perfect (in Just Math) Posted on 2019-12-04 (10 Comments) |

| guesstimate by Charlie (2019-12-04 15:30:49) |

Under Can we use Pigeonhole? (in Numbers) Posted on 2019-11-26 (3 Comments) |

| My apologies for the previous title by Charlie (2019-11-26 11:33:27) |

| my solution -- without pigeonhole -- including lowest such number by Charlie (2019-11-26 11:29:13) |

Under Spherplex (in Just Math) Posted on 2019-11-25 (4 Comments) |

| solution by Charlie (2019-11-25 10:37:42) |

Under SOD cubed equals Sum of Squares of SODs (in Numbers) Posted on 2019-11-20 (4 Comments) |

| computer-aided solution by Charlie (2019-11-20 14:15:56) |

Under The Big Division (in Numbers) Posted on 2019-11-18 (5 Comments) |

| solution the other way around by Charlie (2019-11-18 12:31:20) |

Under Factor distribution in a school (in Numbers) Posted on 2019-11-13 (15 Comments) |

| re: maybe a soln..... by Charlie (2019-11-13 15:04:33) |

Under Roll a unit (in Probability) Posted on 2019-11-06 (3 Comments) |

| In-the-head solution (spoiler) by Charlie (2019-11-06 10:31:12) |

Under Two methods (in Word Problems) Posted on 2019-10-30 (3 Comments) |

| computer-aided solution by Charlie (2019-10-30 15:43:12) |

Under Cube rooted till 2019 (in Just Math) Posted on 2019-10-23 (4 Comments) |

| computer summation--spoiler by Charlie (2019-10-23 13:17:47) |

Under Ardent tennis player (in Just Math) Posted on 2019-10-22 (2 Comments) |

| solution by Charlie (2019-10-22 13:58:12) |

Under Interval Guessing (in General) Posted on 2019-10-21 (10 Comments) |

| correction to previous post by Charlie (2019-10-25 18:33:40) |

| re(2): Full solution: 15 and beyond by Charlie (2019-10-25 11:53:07) |

| re(3): some thoughts -- cases of small n by Charlie (2019-10-23 21:36:27) |

| re: some thoughts -- cases of small n by Charlie (2019-10-23 13:37:56) |

| solution by Charlie (2019-10-21 21:16:51) |

Under Some Sum of Some Sum (in Numbers) Posted on 2019-10-18 (3 Comments) |

| computer solution by Charlie (2019-10-18 13:34:48) |

Under It's not a Magic Square (in Numbers) Posted on 2019-10-17 (2 Comments) |

| computer solution by Charlie (2019-10-17 13:53:36) |

Under Tricky sums indeed! (in Numbers) Posted on 2019-10-10 (3 Comments) |

| computer-aided solution by Charlie (2019-10-10 12:08:48) |

Under One in all (in Word Problems) Posted on 2019-10-09 (6 Comments) |

| some answers by Charlie (2019-10-09 13:45:25) |

Under The middle number (in Probability) Posted on 2019-10-08 (5 Comments) |

| solution by Charlie (2019-10-08 14:38:50) |

| re: proposed solution by Charlie (2019-10-08 13:35:47) |

Under An important virtue (in Word Problems) Posted on 2019-10-07 (2 Comments) |

| spoiler by Charlie (2019-10-07 14:32:55) |

Under 8 eights, 8 ones (in Just Math) Posted on 2019-10-01 (4 Comments) |

| computer solution by Charlie (2019-10-01 15:44:37) |

Under Hexagonal interior point (in Geometry) Posted on 2019-09-24 (6 Comments) |

| solution by Charlie (2019-09-24 14:57:14) |

Under Hexagonal Spider Web (in Probability) Posted on 2019-09-12 (7 Comments) |

| re: my solution by Charlie (2019-09-12 19:34:38) |

| re: my solution by Charlie (2019-09-12 19:03:28) |

| my solution by Charlie (2019-09-12 18:49:10) |

Under A matter of perspective (in Shapes) Posted on 2019-09-11 (1 Comments) |

| solution by Charlie (2019-09-11 09:57:14) |

Under One way out (in Just Math) Posted on 2019-09-09 (2 Comments) |

| solution by Charlie (2019-09-09 09:29:05) |

Under Reduced to single digit (in Numbers) Posted on 2019-09-06 (14 Comments) |

| re(4): Possible solution by Charlie (2019-09-13 20:46:43) |

| re: Thoughts by Charlie (2019-09-10 12:47:44) |

Under 14 * A to T (in Word Problems) Posted on 2019-09-04 (3 Comments) |

| all but one by Charlie (2019-09-04 09:41:07) |

Under Beautiful recursion (in Just Math) Posted on 2019-09-03 (2 Comments) |

| computer observation and solution by Charlie (2019-09-03 11:14:16) |

Under Bored student (in Just Math) Posted on 2019-08-30 (6 Comments) |

| partial solution by Charlie (2019-08-30 13:02:05) |

Under Money in the word (in Word Problems) Posted on 2019-08-29 (2 Comments) |

| computer solution by Charlie (2019-08-29 14:24:13) |

Under Summing the product of digits (in Numbers) Posted on 2019-08-23 (5 Comments) |

| revised solution by Charlie (2019-08-23 12:18:08) |

| re: solution -- I forgot about something by Charlie (2019-08-23 11:11:35) |

| solution by Charlie (2019-08-23 10:54:18) |

Under Rotated Checkerboard (in Just Math) Posted on 2019-08-22 (3 Comments) |

| No Subject by Charlie (2019-08-22 11:24:22) |

Under A Triangle in a Square (in Geometry) Posted on 2019-08-21 (7 Comments) |

| Wolfram Alpha exact solution via 5 equations by Charlie (2019-08-21 12:25:00) |

| Geometer's Sketchpad approximation by Charlie (2019-08-21 10:18:54) |

Under Yahtzee (in Probability) Posted on 2019-08-20 (2 Comments) |

| computer-aided solution by Charlie (2019-08-20 12:22:45) |

Under Irrational Distance/Rational Areas (in Just Math) Posted on 2019-08-19 (4 Comments) |

| solution by Charlie (2019-08-19 12:44:02) |

Under Recursive reaches one million (in Numbers) Posted on 2019-08-15 (5 Comments) |

| re: computer solution with pattern the rest of the output by Charlie (2019-08-15 13:27:31) |

| computer solution with pattern by Charlie (2019-08-15 09:18:37) |

Under Digitally Average Integers (in Numbers) Posted on 2019-08-14 (2 Comments) |

| computer solution by Charlie (2019-08-14 09:41:12) |

Under Peoples Day (in Just Math) Posted on 2019-08-12 (3 Comments) |

| computer-aided solution by Charlie (2019-08-12 22:46:02) |

Under Getting 8 (in Numbers) Posted on 2019-08-11 (42 Comments) |

| computer solution by Charlie (2019-08-11 12:28:47) |

Under Squared average equals square (in Numbers) Posted on 2019-08-09 (3 Comments) |

| computer solution by Charlie (2019-08-09 12:59:34) |

Under Unique letters (in Word Problems) Posted on 2019-08-08 (1 Comments) |

| computer solution (spoiler) by Charlie (2019-08-08 10:31:11) |

Under A Mysterious Multiplication (in Numbers) Posted on 2019-08-07 (4 Comments) |

| re: No Subject by Charlie (2019-08-09 13:07:43) |

| computer solution by Charlie (2019-08-07 09:43:28) |

Under One or more? (in Word Problems) Posted on 2019-08-06 (2 Comments) |

| computer solution by Charlie (2019-08-06 11:54:37) |

Under points or pigeons in square? (in Just Math) Posted on 2019-08-05 (8 Comments) |

| re(2): what? by Charlie (2019-08-05 21:27:17) |

| what? by Charlie (2019-08-05 18:31:13) |

Under Digital computing (in Numbers) Posted on 2019-08-03 (22 Comments) |

| computer solution--I think what's wanted by Charlie (2019-08-03 13:01:15) |

Under 444...444 (in Numbers) Posted on 2019-08-02 (6 Comments) |

| re: solution by Charlie (2019-08-02 13:37:55) |

| computer solution by Charlie (2019-08-02 13:36:38) |

Under Gifts exchanged (in Logic) Posted on 2019-07-29 (3 Comments) |

| solution by Charlie (2019-07-29 10:50:08) |

Under Rods as triangle sides (in Just Math) Posted on 2019-07-28 (1 Comments) |

| No Subject by Charlie (2019-07-28 14:41:04) |

Under Pairs of primes (in Probability) Posted on 2019-07-27 (10 Comments) |

| An extension by Charlie (2019-07-31 10:50:14) |

| re: via computer - the start of the soln by Charlie (2019-07-28 07:58:12) |

| re(2): computer solution through n=6 list continued by Charlie (2019-07-27 22:01:14) |

| re: computer solution through n=6 list continued by Charlie (2019-07-27 22:00:18) |

| computer solution through n=6 by Charlie (2019-07-27 21:57:42) |

Under 15 A2A (in Word Problems) Posted on 2019-07-26 (4 Comments) |

| a start by Charlie (2019-07-26 07:40:00) |

Under Bugs on a pentagon (in Just Math) Posted on 2019-07-24 (2 Comments) |

| proposed solution by Charlie (2019-07-24 12:28:08) |

Under Conversion Diversion (in Just Math) Posted on 2019-07-23 (2 Comments) |

| solution by Charlie (2019-07-23 13:06:16) |

Under How do I know the time? (in Just Math) Posted on 2019-07-20 (1 Comments) |

| algebraic analysis and computer solution by Charlie (2019-07-20 12:38:54) |

Under Keep an eye Onto the other (in Just Math) Posted on 2019-07-19 (4 Comments) |

| re: solution by Charlie (2019-07-19 10:19:47) |

Under Approximate value (in Numbers) Posted on 2019-07-17 (3 Comments) |

| answers by Charlie (2019-07-17 15:46:34) |

Under Quick integral (in Calculus) Posted on 2019-07-16 (3 Comments) |

| solution by Charlie (2019-07-16 10:14:01) |

Under Describe the decimal (in Numbers) Posted on 2019-07-12 (4 Comments) |

| computer-aided solution by Charlie (2019-07-12 12:09:54) |

Under Trying to get better (in Just Math) Posted on 2019-07-11 (4 Comments) |

| re(2): hmmmm... Try again - there are numerous solutions... by Charlie (2019-07-11 17:21:46) |

| hmmmm... by Charlie (2019-07-11 13:41:46) |

Under 249-yes, 5-no (in Numbers) Posted on 2019-07-08 (2 Comments) |

| solution by Charlie (2019-07-08 14:39:41) |

Under Hexagonally closer (in Just Math) Posted on 2019-07-07 (5 Comments) |

| A start by Charlie (2019-07-07 09:57:04) |

Under Square and Rectangle (in Geometry) Posted on 2019-07-04 (3 Comments) |

| GSP solution by Charlie (2019-07-04 14:37:07) |

Under A special triplet (in Numbers) Posted on 2019-07-02 (3 Comments) |

| solution by Charlie (2019-07-03 03:59:31) |

Under Synonyms (in Word Problems) Posted on 2019-07-01 (5 Comments) |

| computer-aided solution by Charlie (2019-07-01 09:25:09) |

Under Quick factors III (in Numbers) Posted on 2019-06-27 (3 Comments) |

| solution by Charlie (2019-06-27 15:39:24) |

Under Cryptajoke XIX (in Word Problems) Posted on 2019-06-18 (1 Comments) |

| solution by Charlie (2019-06-18 22:27:13) |

Under A four number puzzle (in Just Math) Posted on 2019-06-15 (5 Comments) |

| re(2): proposed solution -- higher value by Charlie (2019-06-16 21:33:26) |

Under Just Hangin' around (in Just Math) Posted on 2019-06-14 (10 Comments) |

| re: method .... by Charlie (2019-06-14 22:17:12) |

| just a thought by Charlie (2019-06-14 11:15:50) |

Under Primes and Semiprimes (in Numbers) Posted on 2019-06-12 (2 Comments) |

| computer solution by Charlie (2019-06-12 12:12:48) |

Under Pouring water (in Shapes) Posted on 2019-06-06 (2 Comments) |

| solution by Charlie (2019-06-06 15:54:26) |

Under Number dilemma (in Numbers) Posted on 2019-06-05 (19 Comments) |

| computer solution by Charlie (2019-06-05 12:29:13) |

Under Tangent of string of 5 (in Just Math) Posted on 2019-06-04 (3 Comments) |

| re: Again, quite interesting by Charlie (2019-06-05 12:23:35) |

Under Oned square root (in Numbers) Posted on 2019-06-03 (4 Comments) |

| thoughts by Charlie (2019-06-03 22:02:55) |

Under Sliced sphere (in Shapes) Posted on 2019-05-29 (5 Comments) |

| re: attempted soln by Charlie (2019-05-30 10:52:58) |

Under Who's on the 4th base? (in Numbers) Posted on 2019-05-28 (3 Comments) |

| re: computer solution and extension continued by Charlie (2019-05-28 15:53:51) |

| computer solution and extension by Charlie (2019-05-28 15:51:13) |

Under Divisors' sum = square (in Numbers) Posted on 2019-05-27 (9 Comments) |

| computer solution by Charlie (2019-05-27 15:54:32) |

Under The Bug Climber (in Just Math) Posted on 2019-05-22 (2 Comments) |

| re: solution by Charlie (2019-05-23 10:38:23) |

| solution by Charlie (2019-05-22 20:12:38) |

Under Soft car for cats (in Numbers) Posted on 2019-05-22 (2 Comments) |

| partway, I think by Charlie (2019-05-22 12:29:57) |

Under Squarely chained (in Numbers) Posted on 2019-05-21 (3 Comments) |

| computer solution by Charlie (2019-05-21 16:17:35) |

Under Carry on, Decimal (in Numbers) Posted on 2019-05-20 (3 Comments) |

| solution by Charlie (2019-05-20 19:24:02) |

Under Evened N and 3N (in Numbers) Posted on 2019-05-18 (2 Comments) |

| computer solution by Charlie (2019-05-18 14:07:48) |

Under Calculator can't handle it (in Numbers) Posted on 2019-05-17 (3 Comments) |

| solution by Charlie (2019-05-17 19:25:55) |

Under Marks on Marks off (in Numbers) Posted on 2019-05-15 (3 Comments) |

| solution by Charlie (2019-05-15 16:56:55) |

Under Concatenation sum (in Numbers) Posted on 2019-05-15 (4 Comments) |

| computer-aided solution by Charlie (2019-05-15 11:23:30) |

Under Prime wisdom (in Logic) Posted on 2019-05-14 (3 Comments) |

| Errare humanum est, Ady's in good company. A propos indeed. by Charlie (2019-05-16 10:31:51) |

| a computer beginning by Charlie (2019-05-14 14:46:42) |

Under The road less travelled (in Just Math) Posted on 2019-05-14 (1 Comments) |

| solution by Charlie (2019-05-14 11:42:43) |

Under Chemical deduction (in Logic) Posted on 2019-05-13 (10 Comments) |

| solution by Charlie (2019-05-13 12:45:21) |

Under Precision counts! (in Sequences) Posted on 2019-05-12 (4 Comments) |

| re: 1st attempt - not complete by Charlie (2019-05-12 09:27:24) |

Under No copying, students (in Probability) Posted on 2019-05-10 (2 Comments) |

| computer-aided solution by Charlie (2019-05-10 14:15:08) |

Under Integer coordinates (in Numbers) Posted on 2019-05-09 (2 Comments) |

| solution by Charlie (2019-05-09 14:18:54) |

Under Odd partition (in Numbers) Posted on 2019-05-09 (2 Comments) |

| computer solution by Charlie (2019-05-09 14:13:14) |

Under A hairy problem (in Just Math) Posted on 2019-05-08 (1 Comments) |

| computer solution with assumptions by Charlie (2019-05-08 17:22:51) |

Under Summed LCM (in Numbers) Posted on 2019-05-08 (3 Comments) |

| solution by Charlie (2019-05-08 10:53:48) |

Under A geometric gangster shooting (in Just Math) Posted on 2019-05-06 (6 Comments) |

| re(2): A guess (spoiler?) by Charlie (2019-05-06 18:21:38) |

| re(2): A guess (spoiler?) by Charlie (2019-05-06 17:01:42) |

Under Diagonal mystery (in Geometry) Posted on 2019-05-04 (3 Comments) |

| computer solution by Charlie (2019-05-04 13:53:04) |

Under Single, Double & Triple Scoops (in Just Math) Posted on 2019-05-03 (1 Comments) |

| solution two ways by Charlie (2019-05-03 09:06:09) |

Under Number Cards Before Face Cards (in Probability) Posted on 2019-05-02 (6 Comments) |

| Hint by Charlie (2019-05-06 07:51:34) |

Under The right time (in Just Math) Posted on 2019-05-02 (1 Comments) |

| solution by Charlie (2019-05-06 11:33:25) |

Under The powers and the exponent (in Calculus) Posted on 2019-05-01 (1 Comments) |

| solution by Charlie (2019-05-01 18:24:26) |

Under Missing letter (in Logic) Posted on 2019-05-01 (6 Comments) |

| re: almost (w/spoiler) by Charlie (2019-05-01 11:11:51) |

Under The special ones among the group (in Numbers) Posted on 2019-04-30 (3 Comments) |

| solution by Charlie (2019-04-30 12:29:11) |

Under Bit filling in 5*5 grid! (in Just Math) Posted on 2019-04-26 (3 Comments) |

| computer solution by Charlie (2019-04-26 12:39:15) |

Under Arithmetic prime (in Numbers) Posted on 2019-04-25 (3 Comments) |

| computer solution by Charlie (2019-04-25 14:50:25) |

Under He stole my ball! (in Probability) Posted on 2019-04-24 (8 Comments) |

| re(2): computer assissted solution by Charlie (2019-04-25 15:30:08) |

| re: related problem by Charlie (2019-04-25 14:26:53) |

| computer assissted solution by Charlie (2019-04-24 16:44:02) |

Under How many qualified numbers? (in Numbers) Posted on 2019-04-24 (3 Comments) |

| solution by Charlie (2019-04-24 11:57:48) |

Under A Jewish dilemma (in Word Problems) Posted on 2019-04-19 (1 Comments) |

| solution by Charlie (2019-04-19 12:29:03) |

Under Breaking the Jewel code (in Numbers) Posted on 2019-04-17 (4 Comments) |

| some thoughts by Charlie (2019-04-17 11:03:51) |

Under 2000 9s (in Numbers) Posted on 2019-04-15 (2 Comments) |

| solution by Charlie (2019-04-15 19:47:46) |

Under 4 and 5 powered (in Numbers) Posted on 2019-04-12 (2 Comments) |

| computer solution by Charlie (2019-04-12 13:24:58) |

Under The number n in n^2 (in Numbers) Posted on 2019-04-11 (3 Comments) |

| in Basic by Charlie (2019-04-11 15:27:08) |

Under Blobs' Borders 2 (in Shapes) Posted on 2019-04-10 (4 Comments) |

| re(2): solution -- another way (attempt) by Charlie (2019-04-16 11:41:08) |

| re: solution by Charlie (2019-04-16 11:35:48) |

Under Based on threes! (in Numbers) Posted on 2019-04-09 (5 Comments) |

| solution with computation by program, with a one-paragraph analytic method by Charlie (2019-04-09 16:03:12) |

Under Just count them ! (in Just Math) Posted on 2019-04-09 (2 Comments) |

| computer solution by Charlie (2019-04-09 10:55:30) |

Under Matrixed Fibonacci (in Just Math) Posted on 2019-04-08 (2 Comments) |

| answer (computer exploration) by Charlie (2019-04-08 16:41:42) |

Under The devilish 9 roots (in Just Math) Posted on 2019-04-06 (1 Comments) |

| Wolfram Alpha's solution by Charlie (2019-04-06 14:25:27) |

Under Imagine the world (in Shapes) Posted on 2019-04-05 (2 Comments) |

| delayed aha! moment after too much algebra by Charlie (2019-04-05 18:06:57) |

Under Hot and Cold Cubes (in Science) Posted on 2019-04-04 (6 Comments) |

| re(2): Missing info? Or solution? Example by Charlie (2019-04-05 11:18:22) |

Under Asymmetrical String (in Numbers) Posted on 2019-04-04 (1 Comments) |

| solution by Charlie (2019-04-04 10:58:06) |

Under Hy-Spherical (in Shapes) Posted on 2019-04-03 (1 Comments) |

| if my algebra was careful enough... by Charlie (2019-04-03 23:18:59) |

Under Sine in Exponent (in Just Math) Posted on 2019-04-03 (17 Comments) |

| re: 2 possible solutions by Charlie (2019-04-03 13:52:27) |

Under Taramasalata inspired world (in Word Problems) Posted on 2019-04-01 (21 Comments) |

| correcting my error and summing up by Charlie (2019-04-18 20:21:48) |

| apologies by Charlie (2019-04-18 15:40:22) |

| more mountains by Charlie (2019-04-18 15:27:35) |

| mountains by Charlie (2019-04-18 14:00:35) |

| countries by Charlie (2019-04-18 11:02:37) |

| re(2): Some cities and states were missed by Charlie (2019-04-18 10:49:14) |

| re: Some cities and states were missed by Charlie (2019-04-17 21:19:53) |

| Some cities and states were missed by Charlie (2019-04-17 20:50:11) |

| World cities and U.S. states -- same idea -- from Wikipedia pages by Charlie (2019-04-17 20:33:34) |

| Rivers in the U.S. -- computer findings by Charlie (2019-04-17 15:03:53) |

Under Closer to your roots (in Just Math) Posted on 2019-03-28 (1 Comments) |

| from Wolfram Alpha by Charlie (2019-03-28 17:15:38) |

Under A Divisor Diversion (in Numbers) Posted on 2019-03-27 (5 Comments) |

| computer exploration--probable solution by Charlie (2019-03-27 17:22:04) |

Under Divisor in between (in Numbers) Posted on 2019-03-26 (2 Comments) |

| solution by Charlie (2019-03-26 13:38:09) |

Under Larger Square (in Numbers) Posted on 2019-03-25 (2 Comments) |

| computer solution by Charlie (2019-03-25 12:46:21) |

Under Sick-quence (in Just Math) Posted on 2019-03-20 (1 Comments) |

| computer solution by Charlie (2019-03-20 11:13:28) |

Under Math is radical (in Numbers) Posted on 2019-03-19 (3 Comments) |

| computer attempt is close but no cigar by Charlie (2019-03-19 15:00:51) |

Under Factor it (in Numbers) Posted on 2019-03-19 (4 Comments) |

| re: Solution .... hmmm by Charlie (2019-03-19 11:37:55) |

Under Is this circular billiards? (in Geometry) Posted on 2019-03-18 (4 Comments) |

| re(2): Geometer's Sketchpad approximation by Charlie (2019-03-18 19:49:15) |

| Geometer's Sketchpad approximation by Charlie (2019-03-18 17:09:09) |

Under Weird equations (in Just Math) Posted on 2019-03-18 (2 Comments) |

| Wolfram Alpha's solution by Charlie (2019-03-18 12:41:51) |

Under Quad composition (in Just Math) Posted on 2019-03-16 (4 Comments) |

| re(2): calculator solution by Charlie (2019-03-16 14:19:55) |

| re: calculator solution by Charlie (2019-03-16 13:32:54) |

| calculator solution by Charlie (2019-03-16 13:20:33) |

Under The Tiny Triangle (in Shapes) Posted on 2019-03-15 (2 Comments) |

| Geometer's Sketchpad approximation by Charlie (2019-03-15 17:30:47) |

Under Where is the center? (in Geometry) Posted on 2019-03-15 (13 Comments) |

| How my method must have gone wrong by Charlie (2019-03-15 13:03:51) |

Under 'Two' many roots (in Just Math) Posted on 2019-03-14 (2 Comments) |

| solution by Charlie (2019-03-14 15:54:56) |

Under Shifting the digit II (in Numbers) Posted on 2019-03-13 (2 Comments) |

| computer-aided solution by Charlie (2019-03-13 13:30:43) |

Under A Golden Fraction (in Numbers) Posted on 2019-03-12 (3 Comments) |

| UBASIC solution (spoiler) by Charlie (2019-03-12 15:51:27) |

Under Shifting the digit (in Numbers) Posted on 2019-03-11 (5 Comments) |

| computer solution by Charlie (2019-03-11 17:42:32) |

Under Minimizing the Denominator (in Numbers) Posted on 2019-03-08 (3 Comments) |

| computer solution by Charlie (2019-03-08 16:19:45) |

Under Corruption in my file (in Probability) Posted on 2019-03-07 (1 Comments) |

| solution by Charlie (2019-03-07 13:08:51) |

Under What's the calculator doing? (in General) Posted on 2019-03-06 (4 Comments) |

| solution by Charlie (2019-03-06 15:26:51) |

Under A Great Greatest Common Divisor (in Numbers) Posted on 2019-03-06 (2 Comments) |

| solution by Charlie (2019-03-06 10:46:15) |

Under The Great Comparison (in Numbers) Posted on 2019-03-02 (6 Comments) |

| the answer by Charlie (2019-03-02 15:52:04) |

Under 2018 to 2019 (in Numbers) Posted on 2019-03-01 (3 Comments) |

| solution by Charlie (2019-03-01 13:33:13) |

Under And counting (in Numbers) Posted on 2019-02-28 (4 Comments) |

| Wolfram Alpha's solution by Charlie (2019-02-28 19:43:36) |

Under Odd one out (in Word Problems) Posted on 2019-02-28 (2 Comments) |

| solution by Charlie (2019-02-28 15:16:29) |

Under Shifted regions (in Just Math) Posted on 2019-02-27 (4 Comments) |

| re: solution - math and computer by Charlie (2019-02-28 15:33:07) |

| solution by Charlie (2019-02-27 15:09:30) |

Under Add no DANDY - No need ! (in Word Problems) Posted on 2019-02-25 (1 Comments) |

| words from my computer's word list (spoiler) by Charlie (2019-02-25 14:58:33) |

Under Counting Digit (in Numbers) Posted on 2019-02-25 (3 Comments) |

| how long does this method work? (spoiler) by Charlie (2019-02-25 11:50:29) |

Under Palindromes' divisibility (in Numbers) Posted on 2019-02-22 (2 Comments) |

| re: Mentally by Charlie (2019-02-26 09:38:22) |

Under Unlikely event (in Numbers) Posted on 2019-02-21 (3 Comments) |

| solution by Charlie (2019-02-21 11:37:43) |

Under Twin and reversible (in Numbers) Posted on 2019-02-20 (5 Comments) |

| solution and extension by Charlie (2019-02-20 13:06:07) |

Under Limited reflections (in General) Posted on 2019-02-19 (7 Comments) |

| re(2): There are easy ways by Charlie (2019-02-21 13:43:04) |

| simulation by Charlie (2019-02-20 12:00:19) |

| Much work for a D2 puzzle by Charlie (2019-02-19 16:29:56) |

Under Bifonacci (in Numbers) Posted on 2019-02-19 (2 Comments) |

| re: Solution; also an extension by Charlie (2019-02-19 11:06:49) |

Under Chacun à son goût ! (in Just Math) Posted on 2019-02-18 (3 Comments) |

| re(2): computer solutions, with an extension of the bonus by Charlie (2019-02-19 11:19:31) |

| computer solutions, with an extension of the bonus by Charlie (2019-02-18 16:43:31) |

Under Algebra? (in Just Math) Posted on 2019-02-16 (1 Comments) |

| via Wolfram Alpha by Charlie (2019-02-16 15:11:11) |

Under Recovering the number (in Numbers) Posted on 2019-02-13 (2 Comments) |

| bonus by Charlie (2019-02-13 13:43:15) |

Under The Cut Cube (in Shapes) Posted on 2019-02-13 (4 Comments) |

| solution by Charlie (2019-02-13 12:25:24) |

Under Can you C it? (in Word Problems) Posted on 2019-02-06 (21 Comments) |

| if... by Charlie (2019-02-06 12:22:21) |

Under 3 coprime unknowns (in Numbers) Posted on 2019-02-04 (2 Comments) |

| computer solution by Charlie (2019-02-04 11:55:20) |

Under Integers inside surds (in Numbers) Posted on 2019-02-03 (2 Comments) |

| computer doesn't mind tedium, and discovers duplicates by Charlie (2019-02-06 12:56:35) |

Under Neighbors differ by even numbers (in Numbers) Posted on 2019-02-01 (2 Comments) |

| computer-aided solution by Charlie (2019-02-01 16:26:57) |

Under OMG Equation (in Just Math) Posted on 2019-02-01 (1 Comments) |

| Wolfram Alpha's solution by Charlie (2019-02-01 13:23:48) |

Under Only prime digits allowed (in Numbers) Posted on 2019-01-31 (2 Comments) |

| computer solution by Charlie (2019-01-31 15:57:31) |

Under 48th digit in the head (in Just Math) Posted on 2019-01-30 (4 Comments) |

| certainly not in my head (but spoiler present anyway) by Charlie (2019-01-30 15:02:06) |

Under Consistency parameter (in Just Math) Posted on 2019-01-30 (3 Comments) |

| solution by Charlie (2019-01-30 11:38:01) |

Under An enumeration problem (in Just Math) Posted on 2019-01-28 (1 Comments) |

| Let me enumerate the ways -- computer solution by Charlie (2019-01-28 15:58:38) |

Under Digit Hunting (in Just Math) Posted on 2019-01-26 (4 Comments) |

| by computer calculation by Charlie (2019-01-26 15:09:29) |

Under Uniform distribution (in Probability) Posted on 2019-01-25 (9 Comments) |

| re: computer solution by Charlie (2019-01-26 16:22:06) |

| computer solution by Charlie (2019-01-26 15:47:54) |

Under More or less 6 days (in Just Math) Posted on 2019-01-24 (6 Comments) |

| re(2): computer solution--all ways by Charlie (2019-01-25 12:53:28) |

| computer solution--all ways by Charlie (2019-01-25 09:08:22) |

Under Digit Anagram (in Numbers) Posted on 2019-01-24 (3 Comments) |

| some examples--for what they're worth by Charlie (2019-01-24 10:27:13) |

Under Smooth Sum Situation (in Sequences) Posted on 2019-01-23 (3 Comments) |

| computer sum; dumb way and smarter way by Charlie (2019-01-23 15:42:55) |

Under Worm ate the numbers (in Numbers) Posted on 2019-01-18 (2 Comments) |

| computer solution by Charlie (2019-01-19 13:36:45) |

Under Factorial Tremors (in Numbers) Posted on 2019-01-16 (5 Comments) |

| re: Guess by Charlie (2019-01-16 15:20:02) |

Under Dial W for WORD (in Word Problems) Posted on 2019-01-15 (1 Comments) |

| No Subject by Charlie (2019-01-15 15:55:46) |

Under Reach home (in Just Math) Posted on 2019-01-14 (13 Comments) |

| conjecture by Charlie (2019-01-14 16:26:06) |

Under Sine recurrence (in Just Math) Posted on 2019-01-08 (6 Comments) |

| computer solution by Charlie (2019-01-08 11:22:15) |

| re: @ DAK by Charlie (2019-01-08 08:20:15) |

Under Defining a number (in Numbers) Posted on 2019-01-05 (2 Comments) |

| computer solutions by Charlie (2019-01-05 13:47:53) |

Under 4 or more primes (in Numbers) Posted on 2019-01-03 (3 Comments) |

| computer solution by Charlie (2019-01-03 12:42:41) |

Under Ring in the New - again and again and again.. (in Numbers) Posted on 2019-01-01 (2 Comments) |

| playing with the computer in UBASIC by Charlie (2019-01-01 14:53:34) |

Under 24 pre-scheduled dates (in Just Math) Posted on 2018-12-31 (1 Comments) |

| computer-aided solution by Charlie (2018-12-31 22:42:41) |

Under Double perfection (in Numbers) Posted on 2018-12-28 (1 Comments) |

| computer solution by Charlie (2018-12-28 15:26:08) |

Under Restoring a multiplication sample (in Just Math) Posted on 2018-12-27 (1 Comments) |

| computer solutions by Charlie (2018-12-27 11:12:58) |

Under Same digits (in Numbers) Posted on 2018-12-26 (5 Comments) |

| re(2): computer solution by Charlie (2018-12-26 20:02:17) |

| computer solution by Charlie (2018-12-26 10:24:13) |

Under Probably Acute (in Just Math) Posted on 2018-12-21 (12 Comments) |

| re: simulation results by Charlie (2018-12-25 13:18:12) |

| re: Not one answer by Charlie (2018-12-22 08:34:36) |

| simulation results by Charlie (2018-12-21 10:58:56) |

Under Restoring a definition (in Word Problems) Posted on 2018-12-19 (1 Comments) |

| approximate solution -- researched by Charlie (2018-12-19 16:03:46) |

Under Concentric Circles and Equilateral Triangle (in Just Math) Posted on 2018-12-15 (2 Comments) |

| GSP Approximation by Charlie (2018-12-15 15:51:06) |

Under Colored triangle (in Sequences) Posted on 2018-12-14 (10 Comments) |

| in case this helps guide the analysis by Charlie (2018-12-14 21:26:20) |

Under All digits distinct (in Numbers) Posted on 2018-12-12 (5 Comments) |

| re: late computer solution by Charlie (2020-12-12 16:11:41) |

| computer solution by Charlie (2018-12-12 15:15:17) |

Under A short list (in Numbers) Posted on 2018-12-11 (2 Comments) |

| computer solution by Charlie (2018-12-11 11:08:27) |

Under The 100th number (in Sequences) Posted on 2018-12-10 (9 Comments) |

| re(3): Hint by Charlie (2019-01-11 11:44:45) |

Under Maximal number of solutions (in Just Math) Posted on 2018-12-08 (5 Comments) |

| Basic language solution by Charlie (2018-12-09 10:13:45) |

Under 8 distinct partitions (in Numbers) Posted on 2018-12-06 (6 Comments) |

| re(2): computer solution by Charlie (2018-12-07 07:23:18) |

| computer solution by Charlie (2018-12-06 22:40:19) |

Under Square after square creates a new square (in Numbers) Posted on 2018-12-05 (3 Comments) |

| supplement containing non-trivializing zeros by Charlie (2018-12-05 10:56:08) |

| computer solution by Charlie (2018-12-05 10:28:31) |

Under Evaluate the sum (in Sequences) Posted on 2018-12-01 (5 Comments) |

| solution based on previous comments by Charlie (2018-12-02 14:05:51) |

Under Mean Diagonals (in Calculus) Posted on 2018-11-23 (5 Comments) |

| one probably wrong way to go about it by Charlie (2018-11-23 11:42:02) |

Under From sum to addends (in Just Math) Posted on 2018-11-22 (3 Comments) |

| answer by Charlie (2018-11-23 11:23:55) |

Under 3 equal products (in Numbers) Posted on 2018-11-21 (10 Comments) |

| re(2): Answer to the bonus. by Charlie (2018-11-24 09:18:48) |

| re(3): Answer to the bonus. by Charlie (2018-11-23 11:26:49) |

| re(2): Answer to the bonus. by Charlie (2018-11-22 18:42:00) |

| re(2): Answer to the bonus. by Charlie (2018-11-22 15:07:47) |

| Answer to the bonus. by Charlie (2018-11-21 13:57:27) |

| re(2): computer solution and partial investigation of the bonus - ctd. by Charlie (2018-11-21 12:14:33) |

| re: computer solution and partial investigation of the bonus - ctd. by Charlie (2018-11-21 12:12:29) |

| computer solution and partial investigation of the bonus by Charlie (2018-11-21 12:10:34) |

Under New word from two others (in Word Problems) Posted on 2018-11-18 (9 Comments) |

| computer failure to find solution by Charlie (2018-11-18 11:45:06) |

Under Sine of Squared (in Calculus) Posted on 2018-11-15 (6 Comments) |

| re: computer solution by Charlie (2018-11-15 11:35:32) |

| computer solution by Charlie (2018-11-15 11:17:41) |

Under Body parts (in Riddles) Posted on 2018-11-06 (8 Comments) |

| what I was thinking by Charlie (2018-11-06 13:32:34) |

Under Sum of the page numbers (in Just Math) Posted on 2018-11-05 (3 Comments) |

| re: Not so simple (spoiler) by Charlie (2018-11-05 10:24:28) |

Under Duelling pairs (in Games) Posted on 2018-11-02 (16 Comments) |

| computer-aided solution by Charlie (2018-11-02 15:17:15) |

| starting up by Charlie (2018-11-02 13:08:37) |

Under Defining a sequence (in Just Math) Posted on 2018-10-31 (3 Comments) |

| re: one soln by Charlie (2018-10-31 10:20:18) |

Under One-peak sets (in Just Math) Posted on 2018-10-30 (4 Comments) |

| re: not sure I understand by Charlie (2018-10-30 17:47:15) |

Under Some slack (in Geometry) Posted on 2018-10-29 (2 Comments) |

| my solution by Charlie (2018-10-29 10:26:14) |

Under Zeta sine (in Just Math) Posted on 2018-10-28 (6 Comments) |

| re(4): Solution (spoiler) by Charlie (2018-10-31 15:01:49) |

| re(2): Solution (spoiler) by Charlie (2018-10-31 14:07:46) |

| re(3): Solution (spoiler) by Charlie (2018-10-31 12:10:31) |

| re(2): Solution (spoiler) by Charlie (2018-10-31 11:56:13) |

| re: Solution (spoiler) by Charlie (2018-10-31 11:26:41) |

Under The wisdom of Windsor (in Word Problems) Posted on 2018-10-26 (2 Comments) |

| via some research by Charlie (2018-10-27 15:59:26) |

Under Chain of Primes (in Numbers) Posted on 2018-10-23 (5 Comments) |

| re: p&p soln by Charlie (2018-10-24 16:21:53) |

Under Squares needing 2 digits only (in Numbers) Posted on 2018-10-21 (3 Comments) |

| computer solution by Charlie (2018-10-21 19:41:09) |

Under A series of primes equals N (in Numbers) Posted on 2018-10-19 (2 Comments) |

| computer solution by Charlie (2018-10-19 11:53:38) |

Under Parcelation (in Geometry) Posted on 2018-10-18 (2 Comments) |

| solution by Charlie (2018-10-18 12:43:00) |

Under Get the bases! (in Just Math) Posted on 2018-10-17 (5 Comments) |

| re: computer soln --- my program for it by Charlie (2018-10-17 11:39:24) |

Under Box of balls (in Probability) Posted on 2018-10-16 (6 Comments) |

| solution by Charlie (2018-10-16 11:33:43) |

Under Introducing sphenic numbers (in Numbers) Posted on 2018-10-14 (3 Comments) |

| solution by Charlie (2018-10-14 17:35:31) |

Under Emirps census (in Sequences) Posted on 2018-10-12 (2 Comments) |

| computer-aided solution by Charlie (2018-10-12 12:05:22) |

Under Reversal creates average (in Sequences) Posted on 2018-10-10 (7 Comments) |

| re(2): computer soln by Charlie (2018-10-11 08:26:11) |

| re: computer soln by Charlie (2018-10-10 11:37:03) |

| re: computer soln (agree on solution--spoiler present) by Charlie (2018-10-10 11:08:03) |

Under Calling spade a spade (in Numbers) Posted on 2018-10-07 (1 Comments) |

| computer solution by Charlie (2018-10-07 11:11:39) |

Under Feathers of different colors (in Numbers) Posted on 2018-10-06 (2 Comments) |

| computer-assisted solution and extension (spoiler) by Charlie (2018-10-06 11:28:05) |

Under 2Z out (in Sequences) Posted on 2018-10-05 (2 Comments) |

| solution by Charlie (2018-10-05 14:52:53) |

Under At least 3 zeroes (in Sequences) Posted on 2018-10-03 (5 Comments) |

| solution by Charlie (2018-10-03 11:58:11) |

Under Monty Hall variant (in Probability) Posted on 2018-09-30 (6 Comments) |

| Monty Hall by Charlie (2018-09-30 10:04:33) |

| strategy (spoiler) by Charlie (2018-09-30 09:34:57) |

Under Prime phone (in Numbers) Posted on 2018-09-28 (1 Comments) |

| computer solution by Charlie (2018-09-28 10:56:13) |

Under Any conclusions? (in Logic) Posted on 2018-09-26 (2 Comments) |

| a conclusion by Charlie (2018-09-26 10:48:24) |

Under True or not (in General) Posted on 2018-09-25 (6 Comments) |

| re(2): mostly a discussion by Charlie (2018-09-25 15:57:25) |

| mostly a discussion by Charlie (2018-09-25 09:48:16) |

Under A logical search (in Numbers) Posted on 2018-09-24 (10 Comments) |

| non-preferred solution and extension by Charlie (2018-09-24 12:58:00) |

Under Jeopardy style (in Just Math) Posted on 2018-09-23 (2 Comments) |

| another correct response by Charlie (2018-09-23 14:35:46) |

Under Name the sequence (in Sequences) Posted on 2018-09-17 (5 Comments) |

| re: Sequence Name by Charlie (2018-09-17 22:26:19) |

Under A packing exercise (in Shapes) Posted on 2018-09-14 (5 Comments) |

| solution by Charlie (2018-09-14 15:54:23) |

Under Compare them (in Numbers) Posted on 2018-09-08 (7 Comments) |

| re(2): integers for (x,y) by Charlie (2018-09-10 07:49:14) |

| re: proposed solution by Charlie (2018-09-08 17:15:12) |

| proposed solution by Charlie (2018-09-08 13:23:42) |

Under A Cone and a Sphere (in Just Math) Posted on 2018-09-07 (6 Comments) |

| My corrected solution by Charlie (2018-09-08 08:56:08) |

| re: attempted solution by Charlie (2018-09-07 14:05:47) |

| solution by Charlie (2018-09-07 13:57:30) |

Under Weight of nothing in an elevator (in Science) Posted on 2018-09-06 (6 Comments) |

| re: No Subject by Charlie (2018-09-06 15:36:17) |

| proposed solution by Charlie (2018-09-06 10:54:35) |

Under Around the beast number (in Numbers) Posted on 2018-09-04 (4 Comments) |

| re: soln.s by Charlie (2018-09-04 20:11:16) |

Under Complicated Tangency (in Geometry) Posted on 2018-09-01 (2 Comments) |

| solution by Charlie (2018-09-01 14:37:37) |

Under A pet ant (in Shapes) Posted on 2018-08-31 (3 Comments) |

| solution by Charlie (2018-08-31 13:47:28) |

Under Ignoring an error (in Just Math) Posted on 2018-08-30 (2 Comments) |

| solution by Charlie (2018-08-30 14:31:32) |

Under Power tower (in Numbers) Posted on 2018-08-26 (1 Comments) |

| solution by Charlie (2018-08-26 13:39:29) |

Under A set of numbers (in Numbers) Posted on 2018-08-25 (1 Comments) |

| solution by Charlie (2018-08-25 15:45:55) |

Under Ant highway with energy loss (in Calculus) Posted on 2018-08-24 (9 Comments) |

| re: possible analytical approach (thoughts) by Charlie (2018-08-26 12:49:47) |

| re(3): heuristic computer solution by Charlie (2018-08-26 12:44:59) |

| re(2): heuristic computer solution by Charlie (2018-08-25 12:07:58) |

| heuristic computer solution by Charlie (2018-08-24 18:42:13) |

Under A counting task (in Numbers) Posted on 2018-08-23 (7 Comments) |

| re: counting by Charlie (2018-08-23 10:39:44) |

| the numbers by Charlie (2018-08-23 10:01:30) |

| computer solution by Charlie (2018-08-23 10:00:05) |

Under Tax deduction (in Numbers) Posted on 2018-08-22 (6 Comments) |

| re(2): computer solution by Charlie (2018-08-22 13:11:22) |

| computer solution by Charlie (2018-08-22 10:39:55) |

Under What's next? (3) (in Sequences) Posted on 2018-08-19 (3 Comments) |

| researched solution by Charlie (2018-08-19 14:13:48) |

Under Just a search (in Numbers) Posted on 2018-08-18 (5 Comments) |

| computer solution by Charlie (2018-08-18 14:36:33) |

Under Ant highway (in Shapes) Posted on 2018-08-17 (3 Comments) |

| previous post should have been titled solution (spoiler) by Charlie (2018-08-17 14:29:15) |

| No Subject by Charlie (2018-08-17 14:23:48) |

Under Roll away (in Calculus) Posted on 2018-08-15 (5 Comments) |

| re: An approximate look by graphing by Charlie (2018-08-15 12:40:11) |

| An approximate look by graphing by Charlie (2018-08-15 11:50:18) |

Under Tippy table (in Shapes) Posted on 2018-08-14 (3 Comments) |

| solution by Charlie (2018-08-14 13:56:31) |

Under 31 created by 4 successive integers (in Numbers) Posted on 2018-08-13 (7 Comments) |

| answer (spoiler) by Charlie (2018-08-13 14:21:42) |

Under Quintuplet of consecutive primes (in Numbers) Posted on 2018-08-11 (3 Comments) |

| computer solution by Charlie (2018-08-11 13:42:49) |

Under Attendance Records (in Numbers) Posted on 2018-08-10 (4 Comments) |

| re: Solution by Charlie (2018-08-13 14:30:16) |

Under Six or less? (in Just Math) Posted on 2018-08-09 (6 Comments) |

| re(2): Don't get me started... (but) ... by Charlie (2018-08-09 19:06:08) |

| Don't get me started... (but) ... by Charlie (2018-08-09 09:41:01) |

Under Art is marching on.. (in Word Problems) Posted on 2018-08-08 (6 Comments) |

| from my word list by Charlie (2018-08-08 11:36:51) |

Under Shirtless ? Even nude! (in Numbers) Posted on 2018-08-07 (3 Comments) |

| computer solution by Charlie (2018-08-07 10:37:21) |

Under Call 911 (in Just Math) Posted on 2018-08-03 (2 Comments) |

| computer exploration (spoilers) by Charlie (2018-08-03 12:01:41) |

Under 1st 101-digit prime (in Numbers) Posted on 2018-08-02 (3 Comments) |

| computer solution by Charlie (2018-08-02 12:25:55) |

Under Lost in Translation (in General) Posted on 2018-07-31 (9 Comments) |

| first one by Charlie (2018-07-31 10:02:27) |

Under Ten to five (in Numbers) Posted on 2018-07-30 (7 Comments) |

| solution (spoiler) by Charlie (2018-07-30 11:03:24) |

Under Special feature (in Numbers) Posted on 2018-07-29 (6 Comments) |

| re(2): computer solution and tidbits from a reference by Charlie (2018-07-30 12:21:41) |

| computer solution and tidbits from a reference by Charlie (2018-07-29 13:06:40) |

Under Square - both ways (in Numbers) Posted on 2018-07-28 (3 Comments) |

| re: computer solutions by Charlie (2018-07-28 11:59:11) |

| computer solutions by Charlie (2018-07-28 11:43:29) |

Under 8191 has a partner (in Numbers) Posted on 2018-07-26 (3 Comments) |

| computer solution by Charlie (2018-07-26 11:26:45) |

Under Night Lights - Light Nights (in Science) Posted on 2018-07-24 (4 Comments) |

| my version by Charlie (2018-07-24 10:14:27) |

Under Odd-abundant numbers. (in Numbers) Posted on 2018-07-21 (2 Comments) |

| ... and then some by Charlie (2018-07-21 14:23:19) |

Under An Irrational Demand (in General) Posted on 2018-07-17 (8 Comments) |

| What do you do? by Charlie (2018-07-17 12:15:46) |

Under Garden Path (in General) Posted on 2018-07-16 (3 Comments) |

| browser issue on official solution by Charlie (2018-07-17 08:05:13) |

Under Truncatable primes (in Numbers) Posted on 2018-07-15 (2 Comments) |

| computer solution by Charlie (2018-07-15 19:20:58) |

Under From eleven to ... ETERNITY (in Numbers) Posted on 2018-07-14 (3 Comments) |

| computer solution by Charlie (2018-07-14 15:05:06) |

Under Counting sudokus (in Numbers) Posted on 2018-07-13 (6 Comments) |

| re(2): solution (part 1 only) by Charlie (2018-07-14 15:53:58) |

| The internet re part 2 (spoiler) by Charlie (2018-07-14 15:42:49) |

| re: solution (part 1 only) by Charlie (2018-07-14 15:35:08) |

Under Aloof prime (in Numbers) Posted on 2018-07-12 (2 Comments) |

| discussion and solution by Charlie (2018-07-12 11:06:25) |

Under Probability of being coprime (in Probability) Posted on 2018-07-11 (4 Comments) |

| re: computer approximation (vs researched solution) by Charlie (2018-07-11 11:56:00) |

| computer approximation by Charlie (2018-07-11 10:59:31) |

Under Sliders II (in Word Problems) Posted on 2018-07-10 (5 Comments) |

| re: answers by Charlie (2018-07-10 10:57:39) |

Under Earth, The Scofflaw Planet (in Science) Posted on 2018-07-09 (9 Comments) |

| re: again, not the solution by Charlie (2018-07-09 21:38:18) |

| solution by Charlie (2018-07-09 19:39:10) |

Under Sum of 4 squares (in Numbers) Posted on 2018-07-08 (4 Comments) |

| computer finding (no proof of completeness) by Charlie (2018-07-08 15:55:49) |

Under Some prime sequences (in Numbers) Posted on 2018-07-04 (11 Comments) |

| re(2): The sequence by Charlie (2018-07-05 20:48:46) |

| re: No Subject by Charlie (2018-07-05 14:50:11) |

| re(2): The sequence by Charlie (2018-07-05 11:30:20) |

| re: The sequence by Charlie (2018-07-05 10:58:19) |

| Basic language version by Charlie (2018-07-04 12:48:06) |

Under Who's on the second base? (in Numbers) Posted on 2018-07-01 (1 Comments) |

| solution by Charlie (2018-07-01 10:08:08) |

Under Astronomy: Binoculars, for fun and profit (in Science) Posted on 2018-06-29 (10 Comments) |

| re(2): Hint by Charlie (2018-07-05 19:58:20) |

| re: Hint by Charlie (2018-07-05 15:55:18) |

| How to... by Charlie (2018-06-29 13:40:52) |

Under 7 come zero (in Probability) Posted on 2018-06-28 (5 Comments) |

| solution by Charlie (2018-06-28 12:26:17) |

Under Save my spa! (in Science) Posted on 2018-06-27 (4 Comments) |

| spoiler if I did the math right by Charlie (2018-06-27 12:03:59) |

Under These are E-Z (in Geometry) Posted on 2018-06-25 (6 Comments) |

| re: More on Procedures by Charlie (2018-06-26 20:13:56) |

| re: Procedure Question by Charlie (2018-06-26 15:25:22) |

| solution by Charlie (2018-06-25 10:54:49) |

Under Sum of reciprocals (in Just Math) Posted on 2018-06-22 (2 Comments) |

| computer solution and research by Charlie (2018-06-22 13:10:49) |

Under 3 cubes (in Numbers) Posted on 2018-06-21 (2 Comments) |

| re: computer lists (spoilers for part a) -- continued, with mixed signs by Charlie (2018-06-21 14:44:30) |

| computer lists (spoilers for part a) by Charlie (2018-06-21 14:41:59) |

Under Non-zero integers (in Just Math) Posted on 2018-06-20 (6 Comments) |

| re: this seems the solution by Charlie (2018-06-20 13:36:31) |

| this seems the solution by Charlie (2018-06-20 13:22:51) |

Under Space guys (in Just Math) Posted on 2018-06-19 (2 Comments) |

| tabular approach (spoiler) by Charlie (2018-06-19 11:23:38) |

Under Counting ones (in Just Math) Posted on 2018-06-18 (2 Comments) |

| analytic solution, with computer verification by Charlie (2018-06-18 11:13:43) |

Under Square Divisiblity (in Numbers) Posted on 2018-06-17 (4 Comments) |

| thoughts by Charlie (2018-06-17 18:23:05) |

Under Play until you win (in Probability) Posted on 2018-06-15 (1 Comments) |

| Unsatisfying computer solution (spoiler) by Charlie (2018-06-15 12:08:54) |

Under Looking for a square result (in Just Math) Posted on 2018-06-14 (18 Comments) |

| re: No Subject by Charlie (2018-06-15 12:17:21) |

| re(3): computer solution by Charlie (2018-06-15 10:29:47) |

| re(3): computer solution by Charlie (2018-06-15 10:11:06) |

| re: computer solution by Charlie (2018-06-15 07:31:40) |

| computer solution by Charlie (2018-06-15 07:25:52) |

Under Cubes of couples (in Numbers) Posted on 2018-06-12 (2 Comments) |

| computer solution by Charlie (2018-06-12 16:08:02) |

Under Define number n in n letters (in General) Posted on 2018-06-08 (4 Comments) |

| re: very limited computer finding by Charlie (2018-06-08 21:50:16) |

| very limited computer finding by Charlie (2018-06-08 21:21:36) |

Under a NEWS puzzle (in Just Math) Posted on 2018-06-07 (1 Comments) |

| computer solution by Charlie (2018-06-07 16:43:27) |

Under Palindrome in 4 steps (in Numbers) Posted on 2018-06-06 (4 Comments) |

| re(2): computer findings (spoilers) by Charlie (2018-06-06 15:48:04) |

| computer findings (spoilers) by Charlie (2018-06-06 12:31:27) |

Under Optimal result (in Just Math) Posted on 2018-06-04 (11 Comments) |

| hmmm... (spoiler) by Charlie (2018-06-04 10:48:14) |

Under Using its own digits (in Numbers) Posted on 2018-05-31 (9 Comments) |

| re(5): beyond base 10, continued by Charlie (2018-06-01 10:48:21) |

| re(4): beyond base 10, analytical solution....TBC by Charlie (2018-06-01 10:43:51) |

| re(3): beyond base 10, analytical solution....TBC by Charlie (2018-06-01 10:12:25) |

| re(2): beyond base 10, analytical solution....TBC by Charlie (2018-06-01 08:45:40) |

| computer solution by Charlie (2018-05-31 14:31:30) |

Under Thinking octal (in Numbers) Posted on 2018-05-30 (2 Comments) |

| VB program by Charlie (2018-05-30 10:25:17) |

Under What is the value of D? (in Just Math) Posted on 2018-05-27 (1 Comments) |

| computer to narrow the problem, then analysis of what's left by Charlie (2018-05-27 15:08:52) |

Under Ascending order (in Numbers) Posted on 2018-05-26 (1 Comments) |

| computer solution (spoiler) by Charlie (2018-05-26 13:00:57) |

Under How many drinks do you need? (in Numbers) Posted on 2018-05-25 (1 Comments) |

| computer solution by Charlie (2018-05-25 16:03:52) |

Under 495 and 6174 (in Numbers) Posted on 2018-05-24 (3 Comments) |

| re(2): research and exploration (spoiler) by Charlie (2018-05-25 16:18:02) |

| research and exploration (spoiler) by Charlie (2018-05-24 13:33:00) |

Under Self-numbers and generators (in Numbers) Posted on 2018-05-23 (8 Comments) |

| re(2): a. analytic, b. computer, solutions (spoilers for a and b) by Charlie (2018-05-23 16:56:22) |

| a. analytic, b. computer, solutions (spoilers for a and b) by Charlie (2018-05-23 13:47:34) |

Under Another True Story (in General) Posted on 2018-05-22 (3 Comments) |

| this must be how by Charlie (2018-05-22 09:49:08) |

Under High and low (in Word Problems) Posted on 2018-05-21 (3 Comments) |

| computer solution by Charlie (2018-05-21 10:35:42) |

Under Will take some time ?? (in Numbers) Posted on 2018-05-18 (5 Comments) |

| re(3): computer solution by Charlie (2018-05-20 20:44:06) |

| re: computer solution by Charlie (2018-05-19 11:51:47) |

| computer solution by Charlie (2018-05-18 13:41:56) |

Under Just 3 digits (in Sequences) Posted on 2018-05-17 (4 Comments) |

| re: interesting aside by Charlie (2018-05-18 13:58:44) |

| interesting aside by Charlie (2018-05-18 10:18:57) |

| computer solution by Charlie (2018-05-17 12:32:17) |

Under From primes to palindromes (in Numbers) Posted on 2018-05-16 (4 Comments) |

| computer solution by Charlie (2018-05-16 13:37:46) |

| re: OEIS crossreferencing by Charlie (2018-05-16 13:35:57) |

Under What's Seven Got To Do With It? (in Sequences) Posted on 2018-05-14 (2 Comments) |

| computer extension by Charlie (2018-05-14 10:33:42) |

Under How about 138? (in Sequences) Posted on 2018-05-10 (4 Comments) |

| computer solution by Charlie (2018-05-10 14:28:13) |

Under Strongly related (in Just Math) Posted on 2018-05-05 (1 Comments) |

| computer solution by Charlie (2018-05-06 18:18:45) |

Under Some of these and some of those (in Numbers) Posted on 2018-04-30 (2 Comments) |

| Using the table function of a graphing calculator. by Charlie (2018-04-30 12:09:09) |

Under It is not 42 (in Numbers) Posted on 2018-04-29 (2 Comments) |

| computer solution by Charlie (2018-04-29 10:42:25) |

Under Two random points (in Probability) Posted on 2018-04-26 (10 Comments) |

| re: another way by Charlie (2018-04-27 12:19:23) |

| re(3): There must be a reason for the D3 rating. by Charlie (2018-04-26 12:04:02) |

| re: There must be a reason for the D3 rating. by Charlie (2018-04-26 10:42:51) |

| There must be a reason for the D3 rating. by Charlie (2018-04-26 10:16:46) |

Under XFL (in General) Posted on 2018-04-25 (3 Comments) |

| solution with games spelled out by Charlie (2018-04-25 11:38:24) |

Under When polynomial and trigo unite! (in Calculus) Posted on 2018-04-24 (2 Comments) |

| solution by Charlie (2018-04-24 12:52:29) |

Under Partitura (in Numbers) Posted on 2018-04-21 (3 Comments) |

| computer solution by Charlie (2018-04-21 15:55:57) |

Under An almost regular tetrahedron (in Geometry) Posted on 2018-04-20 (3 Comments) |

| re: solution -- What was I thinking? by Charlie (2018-04-21 17:19:13) |

| solution by Charlie (2018-04-20 13:18:39) |

Under A primer in Malaga (in Numbers) Posted on 2018-04-19 (2 Comments) |

| computer solution by Charlie (2018-04-19 14:52:49) |

Under The Devil 30-gon (in Geometry) Posted on 2018-04-17 (3 Comments) |

| computer-aided solution by Charlie (2018-04-17 11:38:15) |

Under Debugging a system (in Just Math) Posted on 2018-04-16 (5 Comments) |

| re(2): Debugged! (spoiler) by Charlie (2018-04-16 21:11:39) |

Under Find a Few Functions (in Calculus) Posted on 2018-04-15 (3 Comments) |

| success for part 1; not so much for part 2 by Charlie (2018-04-15 12:33:53) |

Under A pandigital set (in Numbers) Posted on 2018-04-14 (5 Comments) |

| computer solution by Charlie (2018-04-14 14:04:06) |

Under Prime stars (in Just Math) Posted on 2018-04-13 (2 Comments) |

| computer solution by Charlie (2018-04-13 12:05:10) |

Under Angle in an Equilateral Pentagon (in Geometry) Posted on 2018-04-12 (3 Comments) |

| the trig solution by Charlie (2018-04-12 10:55:33) |

Under On the road again (in Numbers) Posted on 2018-04-10 (5 Comments) |

| re: computer lists possibilities; logic narrows down to actual answers by Charlie (2018-04-10 10:31:44) |

| computer lists possibilities; logic narrows down to actual answers by Charlie (2018-04-10 10:10:15) |

Under The royal sisters (in Just Math) Posted on 2018-04-09 (3 Comments) |

| computer assisted solution by Charlie (2018-04-09 10:40:40) |

Under Simple recursion (in Sequences) Posted on 2018-04-08 (1 Comments) |

| some thoughts by Charlie (2018-04-08 11:48:35) |

Under Squares built from leftovers (in Numbers) Posted on 2018-04-05 (4 Comments) |

| re: Solution by cheating by Charlie (2018-04-05 14:51:50) |

| computer solution by Charlie (2018-04-05 12:27:33) |

Under Parenthetical Integer (in Numbers) Posted on 2018-04-04 (2 Comments) |

| computer solution with explanation that could have been used as an analytic solution (spoiler) by Charlie (2018-04-04 10:25:35) |

Under Cube Decomposition (in Geometry) Posted on 2018-04-02 (5 Comments) |

| solution with explanation by Charlie (2018-04-02 14:30:41) |

Under Better late than never ...HNY (in Just Math) Posted on 2018-04-01 (3 Comments) |

| The equation and the question. by Charlie (2018-04-01 19:33:29) |

Under Pascal Determinant (in Just Math) Posted on 2018-03-31 (3 Comments) |

| re: computer assisted solution by Charlie (2018-04-11 12:34:22) |

| computer assisted solution by Charlie (2018-03-31 14:28:37) |

Under Comb(k,2) (in Numbers) Posted on 2018-03-29 (4 Comments) |

| solutions through k=1,000,000 by Charlie (2018-03-29 10:11:46) |

Under One square implies many (in Sequences) Posted on 2018-03-28 (6 Comments) |

| BTW... by Charlie (2018-03-28 10:25:33) |

| solution assuming all members of the series are integers by Charlie (2018-03-28 10:14:13) |

Under Four singers (in Tricks) Posted on 2018-03-26 (3 Comments) |

| Is it a "Trick" or not? (spoiler) by Charlie (2018-03-26 10:41:59) |

Under Not enough information! (in Science) Posted on 2018-03-23 (7 Comments) |

| considering the simultaneity issue by Charlie (2018-03-24 13:11:48) |

| proposed solution by Charlie (2018-03-23 11:51:25) |

Under She has moved (in Numbers) Posted on 2018-03-22 (2 Comments) |

| How I went about it. by Charlie (2018-03-22 10:35:55) |

Under All in the USA (in Numbers) Posted on 2018-03-20 (2 Comments) |

| computer solution by Charlie (2018-03-20 15:05:39) |

Under six and thirteen (in Numbers) Posted on 2018-03-15 (9 Comments) |

| computer solution by Charlie (2018-03-15 11:55:36) |

Under A Really Weird Math Problem (in Numbers) Posted on 2018-03-12 (12 Comments) |

| re: Spoiler (I think . . .) by Charlie (2018-03-12 14:10:03) |

Under Another Dudeney problem (in Numbers) Posted on 2018-03-09 (2 Comments) |

| computer solution by Charlie (2018-03-09 12:21:01) |

Under Summing the factors (in Numbers) Posted on 2018-03-08 (3 Comments) |

| a solution by Charlie (2018-03-08 12:24:20) |

Under A palindromic equation (in Numbers) Posted on 2018-03-04 (5 Comments) |

| a computer aside (no spoiler) by Charlie (2018-03-04 11:44:38) |

Under The Truman Show (in Geometry) Posted on 2018-03-02 (4 Comments) |

| solution with error analysis by Charlie (2018-03-02 10:32:54) |

Under 15=5*3 (in Sequences) Posted on 2018-03-01 (1 Comments) |

| computer solution by Charlie (2018-03-01 15:40:50) |

Under Trailing zeros (in Numbers) Posted on 2018-02-28 (2 Comments) |

| analytic solution with computer verification by Charlie (2018-02-28 10:35:55) |

Under Square products (in Just Math) Posted on 2018-02-27 (3 Comments) |

| computer exploration by Charlie (2018-02-27 14:38:46) |

Under 4 digit number derived from a single digit (in Numbers) Posted on 2018-02-26 (3 Comments) |

| solution by Charlie (2018-02-26 12:15:47) |

Under Sum of subfactorials (in Numbers) Posted on 2018-02-25 (3 Comments) |

| computer solution by Charlie (2018-02-25 11:54:05) |

Under Completing a triplet (in Numbers) Posted on 2018-02-24 (5 Comments) |

| computer findings by Charlie (2018-02-24 14:05:52) |

Under A sixth power in many ways (in Numbers) Posted on 2018-02-22 (1 Comments) |

| solution by Charlie (2018-02-22 11:12:10) |

Under A state of a State (in General) Posted on 2018-02-19 (8 Comments) |

| re: no answer by Charlie (2018-02-20 10:58:42) |

| re: on first sight by Charlie (2018-02-19 13:54:08) |

Under Strictly non-palindromic numbers (in Numbers) Posted on 2018-02-18 (3 Comments) |

| computer exploration and solution to 3.5 parts by Charlie (2018-02-18 12:07:57) |

Under Double Secant (in Geometry) Posted on 2018-02-15 (3 Comments) |

| not a mathematical proof, but beyond a reasonable doubt by Charlie (2018-02-15 09:29:37) |

Under Four fours (in Numbers) Posted on 2018-02-14 (7 Comments) |

| re: minor tweak to three fours program; 7 goal numbers remain unsolved by Charlie (2018-02-14 23:02:47) |

| minor tweak to three fours program; 7 goal numbers remain unsolved by Charlie (2018-02-14 10:35:12) |

Under Using nine positive digits (in Numbers) Posted on 2018-02-11 (3 Comments) |

| solution in keeping with the title by Charlie (2018-02-11 14:38:55) |

Under En francais seulement ! (in Numbers) Posted on 2018-02-09 (3 Comments) |

| ummm.... by Charlie (2018-02-09 13:15:47) |

Under A couple of squares (in Numbers) Posted on 2018-02-02 (9 Comments) |

| re(2): solution (spoiler) by Charlie (2018-02-03 07:58:35) |

| solution (spoiler) by Charlie (2018-02-02 13:18:35) |

Under Cute numbers (in Numbers) Posted on 2018-02-01 (4 Comments) |

| re: Also by Charlie (2018-02-02 13:29:18) |

| solution by Charlie (2018-02-01 11:24:36) |

Under 113 together (in Just Math) Posted on 2018-01-30 (4 Comments) |

| the algebra and a variation by Charlie (2018-01-30 10:20:29) |

Under Quite a pair! (in Numbers) Posted on 2018-01-26 (2 Comments) |

| computer solution by Charlie (2018-01-26 14:13:29) |

Under Quadrilateral fill in the blank (in Shapes) Posted on 2018-01-25 (2 Comments) |

| playing with GSP -- no proof by Charlie (2018-01-25 10:31:54) |

Under Starting the Scrabble Game (in Probability) Posted on 2018-01-24 (8 Comments) |

| re(3): No Subject by Charlie (2018-01-24 21:47:57) |

| re: No Subject by Charlie (2018-01-24 15:15:51) |

Under Champagnat numbers (in Just Math) Posted on 2018-01-23 (2 Comments) |

| a proof by Charlie (2018-01-23 15:00:21) |

Under The Sleeping Beauty problem (in Probability) Posted on 2018-01-22 (4 Comments) |

| solution by Charlie (2018-01-22 12:29:25) |

Under Quite a coincidence (in Just Math) Posted on 2018-01-19 (6 Comments) |

| proposed solution by Charlie (2018-01-19 11:41:55) |

Under A set of subsets (in Just Math) Posted on 2018-01-17 (2 Comments) |

| computer solution by Charlie (2018-01-17 11:37:00) |

Under Fair slices (in Geometry) Posted on 2018-01-16 (8 Comments) |

| re: To avoid kids figthting by Charlie (2018-01-17 11:42:03) |

Under Get even (in Numbers) Posted on 2018-01-15 (3 Comments) |

| solution transcribed from pencil and paper, with explanation added by Charlie (2018-01-15 10:01:01) |

Under Funny way to divide by seven (in Numbers) Posted on 2018-01-12 (3 Comments) |

| computer finding of numbers that can be divided that way by Charlie (2018-01-12 19:33:39) |

Under 15 letter 'words' (in Just Math) Posted on 2018-01-11 (4 Comments) |

| 2 algorithms same answer--computer assisted (spoiler) by Charlie (2018-01-11 16:21:19) |

Under Discounting one (in Numbers) Posted on 2018-01-10 (9 Comments) |

| re: if you allow negatives by Charlie (2018-01-10 20:32:41) |

| re(3): The only way to do it. Confused by Charlie (2018-01-10 15:56:45) |

| re(2): The only way to do it. Confused by Charlie (2018-01-10 15:51:32) |

| The only way to do it. (computer solution included) by Charlie (2018-01-10 14:04:44) |

Under A meeting point (in Just Math) Posted on 2018-01-07 (2 Comments) |

| solution by Charlie (2018-01-07 12:24:25) |

Under Overheard in Manitoba (in Numbers) Posted on 2018-01-06 (6 Comments) |

| re(2): An aside, beyond the solution by Charlie (2018-01-07 08:27:51) |

| An aside, beyond the solution by Charlie (2018-01-06 16:02:12) |

Under Simple fractions (in Just Math) Posted on 2018-01-03 (3 Comments) |

| Treating as probabilities by Charlie (2018-01-03 15:54:38) |

Under 5-digit number (in Just Math) Posted on 2018-01-02 (2 Comments) |

| assuming beforehand that the title is meaningful by Charlie (2018-01-02 13:31:46) |

Under Three triplets (in Numbers) Posted on 2017-12-30 (6 Comments) |

| re(2): computer solution finds one more by Charlie (2017-12-31 08:04:12) |

| computer solution finds one more by Charlie (2017-12-30 15:37:48) |

Under Pandigital and divisible (in Numbers) Posted on 2017-12-29 (3 Comments) |

| computer solution (spoiler) by Charlie (2017-12-29 11:15:53) |

Under A prime nonuplet (in Numbers) Posted on 2017-12-27 (4 Comments) |

| computer solution (spoiler) by Charlie (2017-12-27 12:47:03) |

Under Expanding the railroad line (in Just Math) Posted on 2017-12-26 (2 Comments) |

| computer solutions by Charlie (2017-12-26 13:51:49) |

Under The Young Girl's Age (in Just Math) Posted on 2017-12-25 (2 Comments) |

| computer solution (spoiler) by Charlie (2017-12-25 14:37:12) |

Under Persistence I (in Numbers) Posted on 2017-12-24 (3 Comments) |

| some analysis; some computation-- solution except for b) in base 3. by Charlie (2017-12-24 14:13:06) |

Under Do not say ONE (in Games) Posted on 2017-12-23 (3 Comments) |

| Researched answer by Charlie (2017-12-23 16:26:49) |

Under Magic circle revisited (in Numbers) Posted on 2017-12-22 (5 Comments) |

| Computer exploration and OEIS identification. by Charlie (2017-12-22 13:04:22) |

Under One problem - many ways to solve... (in Numbers) Posted on 2017-12-21 (6 Comments) |

| My ways by Charlie (2017-12-21 11:31:11) |

Under A true story (in Numbers) Posted on 2017-12-20 (6 Comments) |

| a start by Charlie (2017-12-20 16:30:13) |

Under East Pole, West Pole. (in General) Posted on 2017-12-19 (2 Comments) |

| My thoughts on the subject by Charlie (2017-12-19 10:31:31) |

Under Given one, get the other three (in Numbers) Posted on 2017-12-18 (2 Comments) |

| solution by Charlie (2017-12-18 14:09:02) |

Under Fibo's zeroes repeated (in Numbers) Posted on 2017-12-14 (1 Comments) |

| computer-aided solution by Charlie (2017-12-14 11:04:56) |

Under LOP (in Geometry) Posted on 2017-12-13 (7 Comments) |

| re(2): GSP exploration by Charlie (2017-12-14 10:16:46) |

| re(2): GSP exploration by Charlie (2017-12-13 15:24:45) |

| re: GSP exploration by Charlie (2017-12-13 15:02:18) |

| GSP exploration by Charlie (2017-12-13 12:12:07) |

Under Perform and explain (in Tricks) Posted on 2017-12-12 (11 Comments) |

| re(2): Computer results--but but but... by Charlie (2017-12-13 07:48:50) |

| re: Answer by Charlie (2017-12-12 11:30:34) |

| re: Computer results -- proof of sorts by Charlie (2017-12-12 11:27:25) |

| Computer results by Charlie (2017-12-12 11:01:33) |

Under Enigma (in Logic) Posted on 2017-12-11 (4 Comments) |

| re: Just kidding (spoiler) by Charlie (2017-12-11 11:06:33) |

Under Verify and prove (in Sequences) Posted on 2017-12-10 (5 Comments) |

| re: computer verification no proof ... or, come to think about it ... by Charlie (2017-12-10 10:32:30) |

| computer verification no proof by Charlie (2017-12-10 10:26:50) |

Under All, except two (in Sequences) Posted on 2017-12-09 (4 Comments) |

| re: ERRATIC SOLUTION (spoiler) by Charlie (2017-12-09 17:43:57) |

Under Spelling bee results (in Just Math) Posted on 2017-12-08 (1 Comments) |

| computer solution with most of the bonuses by Charlie (2017-12-08 15:24:50) |

Under Three fours (in Numbers) Posted on 2017-12-06 (3 Comments) |

| re(2): computer solutions (spoilers) by Charlie (2017-12-07 09:05:40) |

| computer solutions (spoilers) by Charlie (2017-12-06 19:34:47) |

Under Just name the date (in General) Posted on 2017-12-05 (2 Comments) |

| solution by Charlie (2017-12-05 10:03:01) |

Under Just 4 different digits (in Numbers) Posted on 2017-12-03 (10 Comments) |

| re: @ Charlie: Answers for the revised puzzle: by Charlie (2017-12-03 19:29:13) |

| just 3 different digits by Charlie (2017-12-03 12:03:10) |

| re(2): Too many - here's some by Charlie (2017-12-03 11:45:15) |

| re: computer solution to the puzzle as is continued by Charlie (2017-12-03 11:31:35) |

| computer solution to the puzzle as is by Charlie (2017-12-03 11:30:08) |

Under One ninth of a pandigital (in Numbers) Posted on 2017-12-02 (1 Comments) |

| computer solution by Charlie (2017-12-02 14:44:27) |

Under A square pairing (in Numbers) Posted on 2017-11-29 (1 Comments) |

| computer solution by Charlie (2017-11-29 13:31:55) |

Under Dice stacking (in Games) Posted on 2017-11-28 (4 Comments) |

| re(3): solution (spoiler) by Charlie (2017-11-28 13:31:14) |

| re: solution (spoiler) by Charlie (2017-11-28 10:00:11) |

| solution (spoiler) by Charlie (2017-11-28 09:53:21) |

Under Quickie XI (in Numbers) Posted on 2017-11-27 (3 Comments) |

| solution by Charlie (2017-11-27 13:06:02) |

Under A special pandigital (in Numbers) Posted on 2017-11-26 (1 Comments) |

| computer solution by Charlie (2017-11-26 16:30:12) |

Under Unique decimal primes (in Algorithms) Posted on 2017-11-24 (1 Comments) |

| computer exploration by Charlie (2017-11-24 14:22:49) |

Under A pandigital sum (in Numbers) Posted on 2017-11-21 (1 Comments) |

| computer solution (spoiler) by Charlie (2017-11-21 10:32:45) |

Under What is .... ...... (in Numbers) Posted on 2017-11-19 (1 Comments) |

| computer solution by Charlie (2017-12-02 14:55:23) |

Under Ulam numbers II (in Numbers) Posted on 2017-11-18 (1 Comments) |

| computer "solution" by Charlie (2017-11-18 16:10:30) |

Under Pythagorean areas (in Numbers) Posted on 2017-11-17 (7 Comments) |

| re: computer solution after fixing bug by Charlie (2017-11-19 09:48:06) |

| computer solution after fixing bug by Charlie (2017-11-19 08:44:36) |

| Either .... by Charlie (2017-11-17 14:26:43) |

Under Where Did You Start? (in Just Math) Posted on 2017-11-16 (3 Comments) |

| tried analytic but had to resort to program (spoiler) by Charlie (2017-11-16 15:19:18) |

Under Your creativity challenged (in Riddles) Posted on 2017-11-15 (7 Comments) |

| I'm not sure why that posted twice by Charlie (2017-11-15 10:15:28) |

| two ideas by Charlie (2017-11-15 10:13:32) |

| two ideas by Charlie (2017-11-15 10:13:32) |

Under Fun primes (in Numbers) Posted on 2017-11-14 (2 Comments) |

| computer solution by Charlie (2017-11-14 14:08:09) |

Under Making a 10 (in Numbers) Posted on 2017-11-13 (4 Comments) |

| re: 02 01 2387 (Spoiler) by Charlie (2017-11-13 14:46:41) |

Under Beast number as a substring (in Numbers) Posted on 2017-11-11 (2 Comments) |

| computer investigation including a solution by Charlie (2017-11-11 12:02:15) |

Under Talking BIG (in Numbers) Posted on 2017-11-10 (3 Comments) |

| solution by Charlie (2017-11-10 11:02:25) |

Under Reverse Engineering I (in Cryptography) Posted on 2017-11-09 (5 Comments) |

| answer by Charlie (2017-11-09 13:25:23) |

Under One digit answer (in Numbers) Posted on 2017-11-08 (3 Comments) |

| re: Solution by Charlie (2017-11-08 15:49:59) |

Under Attributed to Lewis Carroll (in Probability) Posted on 2017-11-07 (4 Comments) |

| 2 scenarios: with and without replacement by Charlie (2017-11-07 14:19:37) |

Under Rectangle in a circle (in Just Math) Posted on 2017-11-07 (4 Comments) |

| GSP and calculus solution by Charlie (2017-11-07 10:07:58) |

Under No big digits involved (in Numbers) Posted on 2017-11-06 (2 Comments) |

| solution by Charlie (2017-11-06 18:04:58) |

Under Searching for the minimal repunit (in Numbers) Posted on 2017-11-06 (1 Comments) |

| computer solution by Charlie (2017-11-06 12:38:05) |

Under Square triplets (in Just Math) Posted on 2017-11-05 (2 Comments) |

| computer solution by Charlie (2017-11-05 14:14:00) |

Under Truth or consequences (in Just Math) Posted on 2017-11-02 (3 Comments) |

| solution by Charlie (2017-11-02 17:51:44) |

Under Counting appearances (in Numbers) Posted on 2017-11-01 (1 Comments) |

| solution by Charlie (2017-11-01 16:09:16) |

Under Mutual dependence (in Numbers) Posted on 2017-11-01 (3 Comments) |

| answer by Charlie (2017-11-01 10:55:23) |

Under 2 ways to prove it (in Just Math) Posted on 2017-10-31 (4 Comments) |

| my offered proofs... are they really the same by Charlie (2017-10-31 13:58:26) |

Under Create 2 congruent triangles (in Geometry) Posted on 2017-10-31 (4 Comments) |

| re: Solution (spoiler) by Charlie (2017-10-31 10:30:21) |

| solution by Charlie (2017-10-31 10:23:52) |

Under Letters in a Box (in Logic) Posted on 2017-10-30 (3 Comments) |

| My apologies re: official solution by Charlie (2017-11-16 18:47:36) |

Under A common feature (in Numbers) Posted on 2017-10-29 (1 Comments) |

| researched solution by Charlie (2017-10-29 11:35:41) |

Under Two SPECIAL PARTITIONS (in Numbers) Posted on 2017-10-28 (4 Comments) |

| oh, and the program... by Charlie (2017-10-28 11:22:23) |

| re: computer solution by Charlie (2017-10-28 11:20:37) |

| computer solution by Charlie (2017-10-28 11:17:31) |

Under Leaving the least (the most) (in Numbers) Posted on 2017-10-27 (2 Comments) |

| computer solutions by Charlie (2017-10-27 10:40:23) |

Under It is not SIX (in Numbers) Posted on 2017-10-26 (4 Comments) |

| computer solution (spoiler) by Charlie (2017-10-26 10:42:39) |

Under Obtuse angle? (in Probability) Posted on 2017-10-25 (3 Comments) |

| solutions by Charlie (2017-10-25 15:02:17) |

Under One word - created by two others (in Word Problems) Posted on 2017-10-25 (3 Comments) |

| re: No Subject by Charlie (2017-10-25 10:41:00) |

Under 3 multiples of cubes (in Numbers) Posted on 2017-10-24 (1 Comments) |

| computer solution by Charlie (2017-10-24 11:06:36) |

Under Urban architecture (in Word Problems) Posted on 2017-10-23 (3 Comments) |

| computer findings by Charlie (2017-10-23 15:52:28) |

Under 31 or more (in Games) Posted on 2017-10-21 (6 Comments) |

| re: computer aided solution by Charlie (2017-10-21 17:16:49) |

| computer aided solution by Charlie (2017-10-21 16:59:55) |

Under 3 lowest score words (in Word Problems) Posted on 2017-10-20 (3 Comments) |

| computer solution by Charlie (2017-10-20 16:14:49) |

Under Does it continue? An original. (in Numbers) Posted on 2017-10-20 (7 Comments) |

| re(2): computer solution by Charlie (2017-10-20 14:21:05) |

| computer solution by Charlie (2017-10-20 11:04:42) |

Under The Odds Must Be Crazy (in Probability) Posted on 2017-10-19 (4 Comments) |

| re(2): My take on it by Charlie (2017-10-19 22:37:36) |

| My take on it by Charlie (2017-10-19 13:43:53) |

Under √22 (in Numbers) Posted on 2017-10-18 (3 Comments) |

| short general proof by Charlie (2017-10-18 15:28:53) |

Under SUM = PR0DUCT (in Numbers) Posted on 2017-10-18 (3 Comments) |

| computer solution by Charlie (2017-10-18 10:52:00) |

Under Alfey revava ... (in General) Posted on 2017-10-17 (3 Comments) |

| re: computer solution by Charlie (2017-10-17 16:25:34) |

| computer solution by Charlie (2017-10-17 16:16:32) |

Under 9 cubes (in Numbers) Posted on 2017-10-17 (1 Comments) |

| computer solution by Charlie (2017-10-17 12:51:10) |

Under He, me, and you (in Word Problems) Posted on 2017-10-16 (2 Comments) |

| computer aided part 1 by Charlie (2017-10-16 18:32:37) |

Under Two-three integers (in Numbers) Posted on 2017-10-15 (6 Comments) |

| re: Analytic Solution by Charlie (2017-10-15 21:16:32) |

| re(2): computer-aided solution -- another number continued by Charlie (2017-10-15 17:01:30) |

| re: computer-aided solution -- another number by Charlie (2017-10-15 16:57:59) |

| computer-aided solution by Charlie (2017-10-15 16:54:45) |

Under What's out? (in Word Problems) Posted on 2017-10-13 (3 Comments) |

| re: anagrammatic spoilers by Charlie (2017-10-13 10:27:05) |

Under Equal Power Sum Sets (in Numbers) Posted on 2017-10-11 (1 Comments) |

| computer solution by Charlie (2017-10-11 15:13:30) |

Under Somewhere in the USA (in Word Problems) Posted on 2017-10-10 (6 Comments) |

| Computer search finds other geographic entities by Charlie (2017-10-10 13:35:40) |

Under Does it continue? 10: Alternate differences (in Numbers) Posted on 2017-10-07 (2 Comments) |

| computer exploration by Charlie (2017-10-07 22:22:53) |

Under Squeeze in (in Word Problems) Posted on 2017-10-05 (4 Comments) |

| computer aided solution by Charlie (2017-10-05 14:43:54) |

Under In Europe (in General) Posted on 2017-10-04 (7 Comments) |

| re(2): the equation part by Charlie (2017-10-04 13:35:08) |

| the equation part by Charlie (2017-10-04 10:26:43) |

Under A set of ages (in Just Math) Posted on 2017-10-02 (1 Comments) |

| computer aided solution by Charlie (2017-10-02 11:07:08) |

Under Oddly even numbers (in Numbers) Posted on 2017-10-01 (1 Comments) |

| computer solution by Charlie (2017-10-01 15:48:18) |

Under Does it continue? 8: Prime together (in Numbers) Posted on 2017-09-30 (1 Comments) |

| computer solution by Charlie (2017-09-30 15:52:22) |

Under A scrambled BEDLAM (in Just Math) Posted on 2017-09-29 (2 Comments) |

| with computer assistance by Charlie (2017-09-29 10:42:53) |

Under Does it continue? 7: Partial sums again (in Numbers) Posted on 2017-09-28 (1 Comments) |

| computer exploration by Charlie (2017-09-28 15:15:27) |

Under Toasting the eternal (in Just Math) Posted on 2017-09-27 (3 Comments) |

| computer solution (spoilers) by Charlie (2017-09-27 11:49:50) |

Under Does it continue? 6: Partial sums (in Numbers) Posted on 2017-09-25 (7 Comments) |

| answers by Charlie (2017-09-25 12:32:44) |

Under Does it continue? 5: powers of 2 (in Numbers) Posted on 2017-09-24 (6 Comments) |

| computer findings by Charlie (2017-09-24 16:53:43) |

Under 3 by 3 by 5 (in Word Problems) Posted on 2017-09-22 (6 Comments) |

| computer finds few words, apparently not all compatible by Charlie (2017-09-22 12:17:16) |

| only two words found -- no computer program used by Charlie (2017-09-22 10:38:15) |

Under Does it continue? 4: Euclid's next prime (in Numbers) Posted on 2017-09-21 (3 Comments) |

| Initial thought and computer exploration by Charlie (2017-09-21 13:05:22) |

Under Does it continue? 3: Growing table of primes (in Numbers) Posted on 2017-09-19 (3 Comments) |

| first thought and computer vindication by Charlie (2017-09-19 10:54:29) |

Under Reverse Engineering (in General) Posted on 2017-09-15 (3 Comments) |

| researched answer by Charlie (2017-09-15 10:45:16) |

Under Does it continue? 1: Chord regions (in Sequences) Posted on 2017-09-13 (9 Comments) |

| re(2): Huh?......ehe by Charlie (2017-09-13 10:44:18) |

Under MMMMMM Donut (in Just Math) Posted on 2017-09-11 (4 Comments) |

| solution by Charlie (2017-09-11 12:16:35) |

Under Product of 100 factorials (in Just Math) Posted on 2017-09-07 (8 Comments) |

| bringing my original table up to n=100 by Charlie (2017-09-08 11:05:02) |

| miscellany by Charlie (2017-09-08 08:51:28) |

| when it works -- computer exploration by Charlie (2017-09-07 10:53:24) |

Under Who began with 50 cents? (in Just Math) Posted on 2017-09-06 (3 Comments) |

| solution by Charlie (2017-09-06 13:13:58) |

Under Getting closer to your pie (in Numbers) Posted on 2017-09-04 (10 Comments) |

| re(2): A little less obvious, for part c by Charlie (2017-09-05 07:40:34) |

| A little less obvious, for part c by Charlie (2017-09-04 10:36:41) |

Under Two sums of digits (in Just Math) Posted on 2017-09-02 (5 Comments) |

| computer solution (spoilers) by Charlie (2017-09-02 12:54:29) |

Under Tea-time cakes (in Just Math) Posted on 2017-09-01 (2 Comments) |

| of course there's the computer way by Charlie (2017-09-01 13:53:37) |

Under Are we there yet? (in Probability) Posted on 2017-08-30 (5 Comments) |

| re: Part 3 by Charlie (2017-08-31 15:40:15) |

| parts 1 & 2 only; outline of 3 by Charlie (2017-08-30 12:28:14) |

Under Triangle in a triangle (in Shapes) Posted on 2017-08-28 (4 Comments) |

| answer by Charlie (2017-08-28 12:17:22) |

Under Strobogrammatic to pandigital (in Numbers) Posted on 2017-08-26 (4 Comments) |

| computer solution by Charlie (2017-08-26 16:31:15) |

Under Leaving a maximal result (in Algorithms) Posted on 2017-08-25 (3 Comments) |

| algorithm by Charlie (2017-08-25 10:47:40) |

Under Next Numbers Please #9 (in Numbers) Posted on 2017-08-23 (9 Comments) |

| re(5): When 12 appears by Charlie (2017-08-29 09:54:43) |

| re(4): When 12 appears by Charlie (2017-08-29 09:47:19) |

Under The trio (in Liars and Knights) Posted on 2017-08-21 (1 Comments) |

| solution by Charlie (2017-08-21 12:23:07) |

Under A repunit product (in Word Problems) Posted on 2017-08-19 (5 Comments) |

| solution by Charlie (2017-08-19 22:04:28) |

Under Marbles in boxes (in Algorithms) Posted on 2017-08-16 (5 Comments) |

| solution by Charlie (2017-08-16 11:41:37) |

Under Divisibility in a sequence (in Numbers) Posted on 2017-08-12 (2 Comments) |

| Existence proof (lowest pair requiring 79) by Charlie (2017-08-12 12:36:27) |

| proof (but not a proof that this is the lowest achievable) by Charlie (2017-08-12 11:42:49) |

Under Bob and Alice make a poor choice (in Numbers) Posted on 2017-08-11 (7 Comments) |

| re(2): solution (spoiler) - precision check by Charlie (2017-08-11 14:29:42) |

| solution (spoiler) by Charlie (2017-08-11 12:33:55) |

Under Straight or rotated (in Numbers) Posted on 2017-08-10 (3 Comments) |

| program and solution (spoilers) by Charlie (2017-08-10 11:16:22) |

Under Even (related) chances (in Probability) Posted on 2017-08-09 (4 Comments) |

| solution (spoiler) by Charlie (2017-08-09 11:34:37) |

Under Palindromic sum (in Just Math) Posted on 2017-08-08 (3 Comments) |

| The "grunt work" left to the computer (spoiler) by Charlie (2017-08-08 10:13:42) |

Under A text sans (in Word Problems) Posted on 2017-08-07 (1 Comments) |

| He who hesitates is lost by Charlie (2017-08-07 12:33:13) |

Under A unique Heronian triangle (in Geometry) Posted on 2017-08-05 (6 Comments) |

| re(4): easy - spoiler by Charlie (2017-08-06 07:58:16) |

Under Published in the thirties (in Famous Riddles) Posted on 2017-08-03 (5 Comments) |

| An Isle of Joy (this is not Kansas any more) (spoiler) by Charlie (2017-08-04 10:18:07) |

Under Think big (in Numbers) Posted on 2017-08-03 (2 Comments) |

| Actually it could be done with VB by Charlie (2017-08-03 11:08:15) |

| Think Big ... Think UBASIC (spoilers) by Charlie (2017-08-03 10:31:36) |

Under Dec = xeh (in Numbers) Posted on 2017-08-02 (5 Comments) |

| computer solutions. Don't know the commonality. by Charlie (2017-08-02 14:16:35) |

Under Two parallelograms (in Geometry) Posted on 2017-08-01 (4 Comments) |

| GSP by Charlie (2017-08-01 10:11:30) |

Under Find this word (in Word Problems) Posted on 2017-07-31 (8 Comments) |

| Funny... (spoilers) by Charlie (2017-07-31 10:27:48) |

Under Add'em all ! (in Numbers) Posted on 2017-07-27 (3 Comments) |

| computer solution (spoiler) by Charlie (2017-07-27 10:30:14) |

Under Pandigitals Divided by 11 (in Numbers) Posted on 2017-07-23 (4 Comments) |

| computer exploration by Charlie (2017-07-23 10:39:48) |

Under Almost-pandigital sets (in Numbers) Posted on 2017-07-22 (1 Comments) |

| computer |