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Imo Shortlist Problem

Source: IMO Shortlist 2000, Problem N4

February 27, 2005
algebrapolynomialnumber theoryDivisibilityIMO ShortlistZsigmondy

Problem Statement

Find all triplets of positive integers (a,m,n) (a,m,n) such that a^m \plus{} 1 \mid (a \plus{} 1)^n.
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