lean_workbook_plus_68414

Proved

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

For all positive integers $n$ and $k,$ and $n>1,$ prove that $n^k-1$ is divisible by $n-1.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68414 (n k : ℕ) (hn : 1 < n) : n - 1 ∣ n ^ k - 1   :=  by sorry

Source