olymmath

ISL 2006 N5

Find all integer solutions of the equation x7−1x−1=y5−1\frac{x^{7}-1}{x-1}=y^{5}-1 (Russia)

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

Official text: IMO 2006 Shortlist booklet, page 60.

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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