USAMO #1

For students of class 11-12 (age 16+)
Durjoy Sarkar
Posts: 3
Joined: Thu May 11, 2017 10:03 am
Location: Rangpur

USAMO #1

Unread post by Durjoy Sarkar » Tue Mar 06, 2018 1:02 pm

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 $a+b$.

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Atonu Roy Chowdhury
Posts: 63
Joined: Fri Aug 05, 2016 7:57 pm
Location: Chittagong, Bangladesh

Re: USAMO #1

Unread post by Atonu Roy Chowdhury » Mon Mar 12, 2018 11:56 am

This problem was posted once. If you need solution, you can check this out.
http://matholympiad.org.bd/forum/viewto ... =26&t=3976
This was freedom. Losing all hope was freedom.

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