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infinite pairs of (m, n) such m \ n^2+1 and n \m^2+1 ,

Source: Danube 2018 p2

July 22, 2019
number theoryDivisorsinfinitely many

Problem Statement

Prove that there are in finitely many pairs of positive integers (m,n)(m, n) such that simultaneously mm divides n2+1n^2 + 1 and nn divides m2+1m^2 + 1.
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