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The Beal Conjecture

In 1993, banker and amateur mathematician Andrew Beal proposed that if Ax + By = Cz, where A, B, C, x, y, and z are positive integers and x, y, and z are all greater than 2, then A, B, and C must have a common prime factor.

Is it true? No one knows, but Beal is offering $1 million for a peer-reviewed proof or a counterexample.

from Futility Closet https://www.futilitycloset.com/2018/10/11/the-beal-conjecture/

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