# Erdős Problem 18

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:18
- Collection: Erdős
- Page: https://qed.bot/s/erdos-18
- Formal record: mixed; at its source: open
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://www.erdosproblems.com/18

## 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.

- conjectures.io, using Unknown: a partial proof claimed, 27 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/18/proof-claims#proof-claim-363
- Wouter van Doorn, using GPT-6 Astra Pro: a partial proof claimed, 16 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/18/proof-claims#proof-claim-318
- Liam Price, using GPT 5.6 Sol Pro: a partial proof claimed, 24 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/18/proof-claims#proof-claim-131

## Formal statements

- FormalConjectures/ErdosProblems/18.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/18.lean

Cite as: qed.bot, "Erdős Problem 18", https://qed.bot/s/erdos-18, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/