Quote (sMACKTRiCKz @ Jun 5 2011 09:43pm)
fuck i hate prime number shit. will try this later
3^3 +6^3=5^3
To illustrate, the solution 33 + 63 = 35 has bases with a common factor of 3, and the solution 76 + 77 = 983 has bases with a common factor of 7. Indeed the equation has infinitely many solutions, including for example
for any a, b, m > 3. But no such solution of the equation is a counterexample to the conjecture, since the bases all have the factor am + bm in common.
The example 73 + 132 = 29 shows that the conjecture is false if one of the exponents is allowed to be 2.
did i win
This post was edited by wesley123 on Jun 5 2011 07:47pm