lean_workbook_plus_67978

Proved

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

Prove that $2^{2005} + 2004^{2005} \equiv 0 \pmod{2006}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_67978 : 2 ^ 2005 + 2004 ^ 2005 ≡ 0 [ZMOD 2006]   :=  by sorry

Source