lean_workbook_plus_29636

Proved

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

Prove that there exist infinitely positive integers $n$ that $a+b+c | a^n+b^n+c^n$ where $a+b+c | a^2+b^2+c^2$ . You should add this ' $a + b + c \neq 0$ '

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_29636 (a b c : ℤ) (h : a + b + c ≠ 0) (habc : a + b + c ∣ a^2 + b^2 + c^2) : ∃ n : ℕ, a + b + c ∣ a^n + b^n + c^n   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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