Difference between revisions of "1999 IMO Problems/Problem 4"

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Revision as of 20:41, 6 October 2023

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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