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Posted: Tue Mar 06, 2018 1:02 pm
by Durjoy Sarkar
Prove that there are infinitely many distinct pairs $(a, b)$ of relatively prime integers $a>1$ and $b>1$ such that $a^b+b^a$ is divisible by $a+b$.

Re: USAMO #1

Posted: Mon Mar 12, 2018 11:56 am
by Atonu Roy Chowdhury
This problem was posted once. If you need solution, you can check this out. ... =26&t=3976