arithmétique prépa recueilchapitre 1problème 1.3récurrence
A divisibility by 3^(n+1)
Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar · ★★★★★
Statement
Montrez que $3^{n+1}$ divise $2^{3^n} + 1$ pour tout entier $n \geq 0$.
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?



