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2017 USAMO Problems/Problem 1

Revision as of 18:28, 20 April 2017 by Proofj (talk | contribs) (→Problem)

Problem

Prove that there are infinitely many distinct pairs $(a,b)$ of relatively prime positive integers $a>1$ and $b>1$ such that $a^b+b^a$ is divisible by $a+b$.

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