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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)

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 re: Solution using five 3's | Comment 12 of 35 |
(In reply to Solution using five 3's by Leming)

Nice work, Leming (some of my solutions are different from yours, some are simpler, some are more complex). Iīll take a note of yours.

The last I found was 95, and is exactly the same way you found.

Well done!

 Posted by pcbouhid on 2008-07-07 19:18:03

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