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m^3-n^3=2mn +8 diophantine

Source: Singapore Senior Math Olympiad 2013 2nd Round p2 SMO

March 25, 2020
diophantineDiophantine equationnumber theory

Problem Statement

Find all pairs of integers (m,n)(m,n) such that m3āˆ’n3=2mn+8m^3-n^3=2mn +8