lean_workbook_plus_21729

Proved

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

Prove that if $a, b, c$ are integers such that $a + b + c = 0$ , then $47$ divides $a^{47} + b^{47} + c^{47}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_21729 {a b c : ℤ} (h : a + b + c = 0) : 47 ∣ a ^ 47 + b ^ 47 + c ^ 47   :=  by sorry

Source