The last four digits of an arithmetic expression

Proved

WorkbookSource.problem_53578

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

lean-workbooksource-checked

Find the last four digits of $\frac{2014\cdot 2015\cdot4029}{6}+\frac{3\cdot 2014\cdot 2015}{2}$

Source: InternLM Lean-Workbook, record lean_workbook_53578 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_53578 : (2014 * 2015 * 4029) / 6 + (3 * 2014 * 2015) / 2 ≡ 5330 [MOD 10^4]  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_53578; Apache-2.0

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