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?

You don't need any numbers if you write
n= d/dx (x+x+x+...+x) and there are n x's in the sum.

Posted by e.g. on 2003-12-12 12:52:01