The integer two to the tenth plus five to the twelfth is composite

Proved

WorkbookSource.plus_24111

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

lean-workbooksource-checked

Prove that the number $2^{10}+5^{12}$ is not prime

Source: InternLM Lean-Workbook, record lean_workbook_plus_24111 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.plus_24111 : ¬ Nat.Prime (2^10 + 5^12)   :=  by sorry

Source