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3

Part of 2017 Regional Olympiad of Mexico Northeast

Problems(1)

a^3 + 2017a = b^3 -2017b diophantine

Source: Mathematics Regional Olympiad of Mexico Northeast 2017 P3

9/21/2022
Prove that there is no pair of relatively prime positive integers (a,b)(a, b) that satisfy the equation a3+2017a=b3āˆ’2017b.a^3 + 2017a = b^3 -2017b.
number theoryDiophantine equationdiophantine