# Erdős Problem 1005

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: erdos:1005
- Collection: Erdős
- Page: https://qed.bot/s/erdos-1005
- Formal record: solved; at its source: solved
- Machine-checked: no independent check has verified it
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://www.erdosproblems.com/1005

## AI claims

No AI contribution is recorded against this statement.

## Claimed on erdosproblems.com

Proof claims posted on erdosproblems.com, which says that listing a claim is no guarantee of proof correctness. Nobody has examined them, and none counts in the register's totals.

- Yanmohan Wang, using GPT 5.6: a full proof claimed, 28 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1005/proof-claims#proof-claim-158
- Ricky Cipollini, using GPT 5.5 Thinking, GPT 5.5 Pro for writeup: a full proof claimed, 14 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1005/proof-claims#proof-claim-9

## Formal statements

- FormalConjectures/ErdosProblems/1005.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/1005.lean

Cite as: qed.bot, "Erdős Problem 1005", https://qed.bot/s/erdos-1005, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/