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1999 IMO Problems/Problem 4

Revision as of 21:02, 7 October 2023 by Tomasdiaz (talk | contribs) (→‎Problem)

Problem

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

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

Solution

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