olymmath

ISL 2019 N1

    Find all pairs (m,n)(m, n) of positive integers satisfying the equation (2n−1)(2n−2)(2n−4)⋯(2n−2n−1)=m!\left(2^{n}-1\right)\left(2^{n}-2\right)\left(2^{n}-4\right) \cdots\left(2^{n}-2^{n-1}\right)=m! (El Salvador)

    Dataset text NuminaMath olympiads. Quoted with source.

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