olymmath

ISL 2006 N7

    Prove that, for every positive integer nn, there exists an integer mm such that 2m+m2^{m}+m is divisible by nn. (Estonia)

    Official text Transcription from NuminaMath olympiads, checked word for word against the official paper. Quoted with source.

    Official text: IMO 2006 Shortlist booklet, page 64.

    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/2006/n7 · Tag ZXGD19D7XF · Edit this page on GitHub · Keys: j next, k previous