olymmath

ISL 2022 N4

Find all triples of positive integers (a,b,p)(a, b, p) with pp prime and ap=b!+pa^{p}=b!+p (Belgium)

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

Official text: IMO 2022 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/2022/n4 · Tag 19TNWN4FWD · Edit this page on GitHub · Keys: j next, k previous