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 The five 3īs (Posted on 2008-07-07)
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: ( Back to comment list | You must be logged in to post comments.)
 re(2): Values from one | Comment 16 of 35 |
(In reply to re: Values from one by Dej Mar)

Dej Mar, what I meant to say with "tighter restrictions" was to disallow square root, decimal point (.3), and a dot over the number to mean periodic decimal (.3'), which was allowed in the "four fours" problem. I became surprised when I achieved all the numbers using just the basic math operations, factorial, and exponentiation.
 Posted by pcbouhid on 2008-07-07 22:53:44

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