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arithmétique lycée recueilchapitre 5problème 5.2congruences

Squares of primes modulo 24

Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar ·

Statement

Montrer que si $p$ est un nombre premier, on a $p^2 \equiv 1 \pmod{24}$.

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Origin : Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar

Reproduced for non-commercial educational purposes. Rights to the original statement belong to its authors / the competition organiser.

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