# Erdős Problem 1038

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:1038
- Collection: Erdős
- Page: https://qed.bot/s/erdos-1038
- 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/1038

## AI claims

### AlphaEvolve, Claude Fable 5, Codex, GPT-5.2 Thinking, GPT-5.4 Thinking, GPT-5.5, 16 Dec 2025

Partial result

- Outcome: partial
- Autonomy A1: Collaborative. A human and a system worked the problem together, or the system played a supporting role.
- Evidence V1: Informal. A public write-up exists and has had community scrutiny.
- Fidelity F0: Absent. No formal statement is attached to the result.
- With: catsflowers5544, jspier, Junnosuke Koizumi, Kenneth Mendoza, Nat Sothanaphan, Terence Tao, Hua Xu
- Source: Erdős problems AI wiki, https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems

## 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.

- Cristian Budala, using GPT 5.6 Sol: a full proof claimed, 24 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1038/proof-claims#proof-claim-222
- Tam\'as Darvas, Bingui Peng, Runzhou Tao, using ChatGPT 5.5: a full proof claimed, 15 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1038/proof-claims#proof-claim-57
- Shouqiao Wang, using GPT-5.6 Sol: a full proof claimed, 14 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1038/proof-claims#proof-claim-8

## Formal statements

- FormalConjectures/ErdosProblems/1038.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/1038.lean

Cite as: qed.bot, "Erdős Problem 1038", https://qed.bot/s/erdos-1038, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/