Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer value of n greater than two.
Beal's conjecture states that if A^x + B^y = C^z, where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.
Got all that? Well you'll need to prove or disprove it, and have your work published in a leading mathematics journal to claim your prize.
Too bad math was never my strong suit.