olymmath

IMO 2019 Problem 4

  • Day 2

Find all pairs (k,n)(k,n) of positive integers such that k!=(2n−1)(2n−2)(2n−4)⋯(2n−2n−1).k!=(2^n-1)(2^n-2)(2^n-4)\cdots(2^n-2^{n-1}). Proposed by Gabriel Chicas Reyes, El Salvador

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 2019 official English paper, page 2.

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