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Mutual divisibility

Source: Brazil National Olympiad Junior 2021 #8

February 15, 2022
number theory

Problem Statement

A triple of positive integers (a,b,c)(a,b,c) is brazilian if a∣bc+1a|bc+1 b∣ac+1b|ac+1 c∣ab+1c|ab+1 Determine all the brazilian triples.
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