A specified quadratic value modulo411

Proved

WorkbookSource.problem_55362

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

lean-workbooksource-checked

For $a=b=137$ , is $5(a+b)^2 + ab$ divisible by 411?

Source: InternLM Lean-Workbook, record lean_workbook_55362 (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_55362 : 5 * (137 + 137) ^ 2 + 137 * 137 ≡ 0 [ZMOD 411]  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_55362; Apache-2.0

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