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The five 3īs (Posted on 2008-07-07) Difficulty: 2 of 5
This is a real story. A long long time ago, based on the "Four fours" problem, I wondered if I could do the same using exactly five 3īs, the restrictions a bit tighter: I could use only the 4 basic math operations, exponentiation, factorial, and all parentheses I may need. Besides, I didnīt disallow me to join two "3īs" to make "33".

Using this, and only this, I succeeded in writing expressions for all integers from 0 to 100.

To narrow your work, since a great number of integers can be easily obtained, can you find expressions for 47, 50, 56, 58, 64, 70, 71, 73, 74, 76, 77, 85, 88, 94, and 95?

See The Solution Submitted by pcbouhid    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Four Foursbrianjn2008-07-12 23:12:12
re(5): all hundredCharlie2008-07-09 11:45:00
re(6): all hundredCharlie2008-07-09 11:40:10
re(5): all hundredCharlie2008-07-09 11:39:07
Solutionre(4): all hundredCharlie2008-07-09 11:37:35
re(3): all hundredLeming2008-07-09 09:53:15
re(2): all hundredDej Mar2008-07-08 22:49:43
re: all hundredDej Mar2008-07-08 20:02:56
Questionre: all hundredLeming2008-07-08 17:32:22
Solutionall hundredCharlie2008-07-08 14:14:34
Solutionthe shortest representation of eachCharlie2008-07-08 12:15:01
Solutionre(5): all the asked-for numbers (spoilers)Charlie2008-07-08 11:48:29
Solutionre(4): all the asked-for numbers (spoilers)Charlie2008-07-08 11:47:42
Solutionre(3): all the asked-for numbers (spoilers)Charlie2008-07-08 11:46:47
re(2): all the asked-for numbers (spoilers)Charlie2008-07-08 11:45:10
Solutionre: all the asked-for numbers (spoilers)Charlie2008-07-08 11:43:59
Solutionall the asked-for numbers (spoilers)Charlie2008-07-08 11:41:52
re: my short answerpcbouhid2008-07-08 07:59:26
Solutionmy short answerAdy TZIDON2008-07-07 23:27:01
re(2): Values from onepcbouhid2008-07-07 22:53:44
re: Values from oneDej Mar2008-07-07 20:21:06
SolutionPartial solution (spoiler)Dej Mar2008-07-07 19:47:45
Some Thoughtsre: Values from oneDej Mar2008-07-07 19:33:18
re: Solution using five 3'spcbouhid2008-07-07 19:18:03
SolutionSolution using five 3'sLeming2008-07-07 18:19:53
re: First of the list ---------- nopcbouhid2008-07-07 16:34:55
still not all, even with exponentiation (spoilers present)Charlie2008-07-07 15:51:13
still not all, even with exponentiation (spoilers present)Charlie2008-07-07 15:51:06
Solutiongeeky computer solution for some values (spoilers present)Charlie2008-07-07 14:47:24
Some ThoughtsSome thoughts.Leming2008-07-07 14:33:44
First of the listLeming2008-07-07 14:19:16
re(2): Values from two - one moreLeming2008-07-07 14:16:49
re: Values from two - one morepcbouhid2008-07-07 14:06:41
Some ThoughtsValues from two "3"sLeming2008-07-07 12:54:01
Some ThoughtsValues from one "3"Leming2008-07-07 11:59:47
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