Prove2Me

The perfect-number formula at five

Proved
WorkbookSource.problem_24615

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

lean-workbooksource-checked

Calculate the perfect number generated by the Mersenne prime formula with p=5: 25−1(25−1)2^{5-1}(2^{5} - 1).

Source: InternLM Lean-Workbook, record lean_workbook_24615 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_24615 (p : ℕ) (hp : p = 5) : 2^(p-1) * (2^p - 1) = 496  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_24615; Apache-2.0

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