Difference between revisions of "2021 USAMO Problems/Problem 1"

Revision as of 21:03, 23 January 2021

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.

Revision as of 16:24, 23 October 2020 (view source) Math31415926535 (talk \| contribs) (Created page with "these problems will not be released until after the test date")		Revision as of 21:03, 23 January 2021 (view source) Awesome3.14 (talk \| contribs) Newer edit →
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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.