As a result of that work, any counterexample of this would also serve as such for the (*) Taniyama-Shimura (taa-nee-YAA-maa she-MOO-rah)
Ken Ribet proved the Epsilon conjecture by proving that this other theorem could be translated into a non-modular elliptical curve. As a result of that work, any counterexample of this would also serve as such for the (*) Taniyama-Shimura (taa-nee-YAA-maa she-MOO-rah) Conjecture. This theorem was eventually proven by Andrew Wiles. For 10 points, name this theorem that states that it is impossible to separate any power higher than the second into two like powers.
Ken Ribet proved the Epsilon conjecture by proving that this other theorem could be translated into a non-modular elliptical curve.
{Fermat's Last} Theorem [or {Fermat's Great} Theorem; prompt on {Fermat's theorem}]