olymmath

BY-MO 2019 Problem 95

    For a positive integer nn write down all its positive divisors in increasing order: 1=d1<d2<…<dk=n1=d_1<d_2<\ldots<d_k=n . Find all positive integers nn divisible by 20192019 such that n=d19⋅d20n=d_{19}\cdot d_{20} .

    (I. Gorodnin)

    Dataset text AI-MO AoPS. Quoted with source.

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