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AT-OEMO-REG 2021 Problem 4

    Determine all triples (x,y,z)(x, y, z) of positive integers satisfying x∣(y+1)x | (y + 1) , y∣(z+1)y | (z + 1) and z∣(x+1)z | (x + 1) .

    (Walther Janous)

    Dataset text AI-MO AoPS. Quoted with source.

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