olymmath

ISL 2018 N1

    Determine all pairs (n,k)(n, k) of distinct positive integers such that there exists a positive integer ss for which the numbers of divisors of sns n and of sks k are equal. (Ukraine)

    Dataset text NuminaMath olympiads. Quoted with source.

    Official text: IMO 2018 Shortlist booklet, page 9.

    Solutions

    Official solution Solution 1 by the IMO Problem Selection Committee

    The terms of the source let olymmath link to this solution but not copy it. Read the solution (IMO official site).

    Locator isl/2018/n1 · Tag A2MEK6HR51 · Edit this page on GitHub · Keys: j next, k previous