USAMO #1

 Posts: 3
 Joined: Thu May 11, 2017 10:03 am
 Location: Rangpur
USAMO #1
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 $a+b$.
 Atonu Roy Chowdhury
 Posts: 64
 Joined: Fri Aug 05, 2016 7:57 pm
 Location: Chittagong, Bangladesh
Re: USAMO #1
This problem was posted once. If you need solution, you can check this out.
http://matholympiad.org.bd/forum/viewto ... =26&t=3976
http://matholympiad.org.bd/forum/viewto ... =26&t=3976
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