The thirty-seventh Mersenne number is composite

Proved

WorkbookSource.plus_76773

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

lean-workbooksource-checked

Prove that $2^{37} -1 = 137438953471$ is not a prime.

Source: InternLM Lean-Workbook, record lean_workbook_plus_76773 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.plus_76773 : ¬ (2^37 - 1).Prime   :=  by sorry

Source