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PAGMO 2022 Problem 5

    Find all positive integers kk for which there exist aa , bb , and cc positive integers such that ∣(a−b)3+(b−c)3+(c−a)3∣=3⋅2k.\lvert (a-b)^3+(b-c)^3+(c-a)^3\rvert=3\cdot2^k.

    Dataset text AI-MO AoPS. Quoted with source.

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