lean_workbook_plus_35396

Disproved

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

Let $n=2k$ so that $n^4+n^3+n^2+n+1=16k^4+40k^3+40k^2+20k+5$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35396  (n : ℕ)
  (k : ℕ)
  (h₀ : n = 2 * k) :
  n^4 + n^3 + n^2 + n + 1 = 16 * k^4 + 40 * k^3 + 40 * k^2 + 20 * k + 5   :=  by sorry

Source

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

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