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1999 IMO Problems/Problem 4

Revision as of 19:41, 6 October 2023 by Tomasdiaz (talk | contribs) (Created page with "==Problem== Determine all pairs <math>(n,p)</math> of positive integers such that <math>p</math> is a prime, <math>n</math> not exceeded <math>2p</math>, and <math>(p-1)^{n}...")
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Problem

Determine all pairs $(n,p)$ of positive integers such that

$p$ is a prime, $n$ not exceeded $2p$, and $(p-1)^{n}$ is divisible by $n^{p-1}$

Solution

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