If Ax + By = Cz, 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. The above conjecture and prize was announced in the December 1997 issue of the Notices of the American Mathematical Society. Since that time Andy Beal has increased the amount of the prize for his conjecture. The prize is now this: $1,000,000 for either a proof or a counterexample of his conjecture. The prize money is being held by the American Mathematical Society until it is awarded. In the meantime the interest is being used to fund some … Continue reading D. Andrew Beal