2021 USAMO Problems/Problem 1: Difference between revisions

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Prove that if a, b, and c are positive integers and n is an integer greater than 2, then the equality $a^n+b^n=c^n$ cannot hold.

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	~~these problems will not be released until after~~ the ~~test date~~		Prove that if a, b, and c are positive integers and n is an integer greater than 2, then the equality <math>a^n+b^n=c^n</math> cannot hold.