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Diophantine equation in two variables with 2023

Source: Germany 2023, Problem 1

June 16, 2023
number theoryDiophantine equationnumber theory proposedalgebra proposed

Problem Statement

Determine all pairs (m,n)(m,n) of integers with n≥mn \ge m satisfying the equation n3+m3−nm(n+m)=2023.n^3+m^3-nm(n+m)=2023.
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