olymmath

ISL 2022 N2

Find all positive integers n>2n>2 such that n!∣∏p<q≤n,p,q primes (p+q)n!\mid \prod_{\substack{p<q \leq n, p, q \text { primes }}}(p+q) (Nigeria)

Dataset text NuminaMath olympiads. Quoted with source.

Official text: IMO 2022 Shortlist booklet, page 9.

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7

Solutions

Official solution Solution 1 by the IMO Problem Selection Committee

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