2017 USAJMO Problems/Problem 1

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Problem

Prove that there are infinitely many pairs $(a,b)$ such that $a^b+b^a$ is divisible by $a+b$.

Solution

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See also

2017 USAJMO (ProblemsResources)
First Problem Followed by
Problem 2
1 2 3 4 5 6
All USAJMO Problems and Solutions