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a^3 + b^3 + c^3 = 2016 diophantine

Source: Mathematics Regional Olympiad of Mexico Northeast 2016 P1

September 12, 2022
number theoryDiophantine equationdiophantine

Problem Statement

Determine if there is any triple of nonnegative integers, not necessarily different, (a,b,c)(a, b, c) such that: a3+b3+c3=2016a^3 + b^3 + c^3 = 2016