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Three threes, or two twos? (Posted on 2003-12-09) Difficulty: 4 of 5
You can represent ANY positive integer n using only three twos by writing

n= -log2(log2(√√...√2))

where log2 is the logarithm base 2, and there are n square roots.

Can you manage to do the same (that is, represent all positive integers) using three THREEs instead? And by using only TWO twos?

See The Solution Submitted by Federico Kereki    
Rating: 4.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Nice Puzzle Comment 3 of 3 |
Despite my best efforts, I was unable to derive any other solution apart from the official one.

Nice problem FK.
  Posted by K Sengupta on 2007-03-16 10:52:33
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