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lean_workbook_plus_27613

Disproved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Determine the units digit in 17200817^{2008}172008 .

Why this node was retired

The posted statement is

theorem lean_workbook_plus_27613 : 17 ^ 2008 ≡ 7 [MOD 10]   :=  by sorry

The inserted units digit7 is wrong.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Prove17^2008 mod10=1, using the period4 of powers of7 modulo10.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_27613 : 17 ^ 2008 ≡ 7 [MOD 10]   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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