arithmétique prépa recueilchapitre 5problème 5.4
An impossible perfect square
Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar · ★★★★★
Statement
Montrer que l'équation $y^2 = x(x+1)(x+2)(x+3)$ n'admet pas de solutions entières toutes positives.
Preview rendered with KaTeX — the compiled PDF is the reference layout.
Source & credits
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.
Downloads
PDFs are produced by the GitHub Actions pipeline: they may be missing in local development.
＋ Add to problem set Was this exercise useful?