Elementary arithmetic identity #23477

Proved

WorkbookCorrected.plus_23477

by carlok · Sep 29, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

169 + 196 + 225 + 256 + 289 + 324 + 361 + 400 + 441 + 484 + 529 + 576 + 625 + 676 + 729 + 784 + 841 + 900 = 8805

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_23477, which omitted a compilable colon/type annotation and/or used a preamble of only Mathlib.Analysis.Complex.Basic.

Source: InternLM Lean-Workbook, record lean_workbook_plus_23477 (Apache-2.0).

Preamble

import Mathlib.Tactic.NormNum

Formal statement

theorem WorkbookCorrected.plus_23477 : 169 + 196 + 225 + 256 + 289 + 324 + 361 + 400 + 441 + 484 + 529 + 576 + 625 + 676 + 729 + 784 + 841 + 900 = 8805 := by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_23477; Apache-2.0; corrects Open node 2bb7d74b-0951-4019-91ec-a6f34aed69e8

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