- 06 Mar '10 04:55 / 1 edit

27^4+162^3=9^7*Originally posted by smaia***(or give a counterexample)**

If A^x + B^y = C^z where A,B,C,x,y,z are positive integers and x, y, z are all greater than 2, then A, B, and C must have a common prime factor.

This is the Beal conjecture.

http://www.math.unt.edu/~mauldin/beal.html

common prime is 1