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

Source: Mathematics Regional Olympiad of Mexico Northeast 2017 P3

September 21, 2022
number theoryDiophantine equationdiophantine

Problem Statement

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.
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