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a^2 + b = b^{2022} diophantine

Source: 2022 NZMO - New Zealand Maths Olympiad Round 2 p1

October 8, 2022
number theoryDiophantine equationdiophantine

Problem Statement

Find all integers a,ba, b such that a2+b=b2022.a^2 + b = b^{2022}.
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