A power of two divisible by seven cubed

Proved

WorkbookSource.problem_21347

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

lean-workbooksource-checked

Prove that $2^{147}-1$ is divisible by $343$ .

Source: InternLM Lean-Workbook, record lean_workbook_21347 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_21347 : 2^(147) - 1 ≡ 0 [ZMOD 343]  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_21347; Apache-2.0

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