+308 {nl} 
NEVER
a^x + b^y = c^z
Where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common prime factor. The challenge is to either solve that conjecture or come up with a counter-example.
Did I break your mind!?
Yes, I know I did.
