# Erdős 1040

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:1040
- Collection: Erdős
- Page: https://qed.bot/s/erdos-1040
- Formal record: unclassified; 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/1040

## AI claims

### Aletheia, 1 Feb 2026

Solution to one part of problem; incorrect solution to other part

- Outcome: partial
- Autonomy A3: Autonomous. The system produced the result without significant human mathematical involvement.
- Evidence V1: Informal. A public write-up exists and has had community scrutiny.
- Fidelity F0: Absent. No formal statement is attached to the result.
- 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.

- Ioannis Tzachristas, using GPT-Astra: a full proof claimed, 9 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1040/proof-claims#proof-claim-292
- Declan Gessel, using GPT-6 Astra (Codex): a full proof claimed, 6 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1040/proof-claims#proof-claim-270
- shlummi, using OpenAI Codex (proof development and Lean formalization), DeepSeek, Claude/Opus (additional AI review): a full proof claimed, 6 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/1040/proof-claims#proof-claim-269

Cite as: qed.bot, "Erdős 1040", https://qed.bot/s/erdos-1040, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/