olymmath

IMO 1999 Problem 4

  • Day 2

Find all the pairs of positive integers (x,p)(x,p) such that p is a prime, x≤2px \leq 2p and xp−1x^{p-1} is a divisor of (p−1)x+1(p-1)^{x}+1 .

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Dataset text AI-MO AoPS. Quoted with source.

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