USAMO #1
-
- Posts:3
- Joined:Thu May 11, 2017 10:03 am
- Location:Rangpur
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
This was freedom. Losing all hope was freedom.