Divisibility of a sum of four powers

Proved

WorkbookSource.problem_51026

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Show that $2^{2010}+3^{2010}+5^{2010}+67^{2010}$ is divisible by $3$ .

Source: InternLM Lean-Workbook, record lean_workbook_51026 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_51026 : 3 ∣ 2^2010 + 3^2010 + 5^2010 + 67^2010  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_51026; Apache-2.0

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