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Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
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Difficulty: 3 of 5 Latest: 9 cubes (in Numbers)
It is a well known fact that any positive integer can be represented by a sum of at most 9 positive cubes, not necessarily distinct.
Dickson showed that the only integers requiring nine cubes are X and Y .

Find the values of X and Y , without referring to OEIS .

BTW, both numbers are below 300.

(No Solution Yet, 0 Comments) Submitted on 2017-10-17 by Ady TZIDON   
Difficulty: 3 of 5 Bonus: Sequence Group (in Sequences) Rating: 3.40
I didn't come up with this problem, but I still think it's a good one.

There are 4 positive integers in order from least to greatest, such that the first three make an aritmetic sequence, and the last three make a geometric sequence. If the difference between the largest and smallest term is 30, what are the terms?
(Solution Posted, 8 Comments) Submitted on 2003-09-23 by Gamer   
Difficulty: 3 of 5He, me, and you (in Word Problems)
Posted on 2017-10-16 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Dimsums LTD (in Numbers)
Posted on 2017-10-16 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Two-three integers (in Numbers)
Posted on 2017-10-15 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 3 of 5If two then three (in Just Math)
Posted on 2017-10-14 by Jer (No Solution Yet, 0 Comments)
Difficulty: 4 of 5What's out? (in Word Problems)
Posted on 2017-10-13 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Clear and Simple (in Cryptography)
Posted on 2017-10-12 by broll (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Equal Power Sum Sets (in Numbers)
Posted on 2017-10-11 by Jer (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Somewhere in the USA (in Word Problems) Rating: 5.00
Posted on 2017-10-10 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 1 of 5Concatenated Categories (in Word Problems) Rating: 3.00
Posted on 2017-10-09 by Charlie (Solution Posted, 1 Comments)
Difficulty: 4 of 5Like CABACB (in Word Problems)
Posted on 2017-10-08 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Does it continue? 10: Alternate differences (in Numbers)
Posted on 2017-10-07 by Jer (No Solution Yet, 2 Comments)
Difficulty: 4 of 5Cryptoquip (in Word Problems)
Posted on 2017-10-06 by Ady TZIDON (No Solution Yet, 0 Comments)
Difficulty: 4 of 5Squeeze in (in Word Problems)
Posted on 2017-10-05 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5In Europe (in General)
Posted on 2017-10-04 by Ady TZIDON (No Solution Yet, 6 Comments)

Recently Posted Solutions:
Difficulty: 1 of 5Concatenated Categories (in Word Problems)
Submitted By Charlie. Solution posted on 2017-10-14 13:34:59
Difficulty: 2 of 5Avast Mateys (in Word Problems)
Submitted By Charlie. Solution posted on 2017-10-03 13:27:09
Difficulty: 4 of 53 by 3 by 5 (in Word Problems)
Submitted By Ady TZIDON. Solution posted on 2017-09-27 09:11:04
Difficulty: 2 of 5The next five... (in Sequences)
Submitted By Charlie. Solution posted on 2017-09-23 13:39:52
Difficulty: 2 of 5Parabolic Numbers (in Just Math)
Submitted By Charlie. Solution posted on 2017-09-23 13:39:25
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