Can you solve the following equation?
½ = 1/x² + 1/y² +...+ 1/z²
All variables must be different, positive integers, and there must be a finite number of terms.
There is an infinite solution I found using the following variables:
2,3,4,6,12,5^1,5^2,5^3,5^4,5^5...
However, I don't think there is a finite solution. It just doesn't seem likely.

Posted by Tristan
on 20040921 00:52:58 