lean_workbook_plus_26926

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that for every prime number $p$ we have $p^m-1|p^n-1$ if $m\mid n$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26926 {p m n : ℕ} (hp : p.Prime) (h : m ∣ n) : p^m - 1 ∣ p^n - 1   :=  by sorry

Source