olymmath

ISL 2012 N8

    Prove that for every prime p>100p>100 and every integer rr there exist two integers aa and bb such that pp divides a2+b5−ra^{2}+b^{5}-r.

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

    Official text: IMO 2012 Shortlist booklet, page 7.

    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).

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