lean_workbook_plus_43185

Proved

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

Find the smallest positive integer $m$ such that $529^n+m\cdot 132^n$ is divisible by $262417$ for all odd positive integers $n$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_43185 (m : ℕ) (hm: m > 0) (h: ∀ n : ℕ, Odd n → (529^n + m * 132^n) % 262417 = 0) : m >= 1984   :=  by sorry

Source