China TST 2004

For discussing Olympiad Level Number Theory problems
tanmoy
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Joined: Fri Oct 18, 2013 11:56 pm
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China TST 2004

Unread post by tanmoy » Tue Aug 23, 2016 7:34 pm

Find every positive integer $m$ for which there exists a prime number $p$ such that $n^{m}-m$ is not divisible by $p$ for any integer $n$.
Last edited by Phlembac Adib Hasan on Fri Sep 23, 2016 2:14 pm, edited 1 time in total.
Reason: For clarification
"Questions we can't answer are far better than answers we can't question"

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