Prove2Me

The last two digits of a product of powers

Proved
WorkbookSource.problem_32553

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

lean-workbooksource-checked

Find the last-two-digit of 132009×99996×312 13^{2009}\times9999^{6}\times3^{12}

Source: InternLM Lean-Workbook, record lean_workbook_32553 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_32553 : 13 ^ 2009 * 9999 ^ 6 * 3 ^ 12 ≡ 93 [MOD 100]  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_32553; Apache-2.0

View graph