# Erdős Problem 263

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:263
- Collection: Erdős
- Page: https://qed.bot/s/erdos-263
- Formal record: mixed; at its source: open
- 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/263

## AI claims

### Aristotle, Claude Opus 4.7, GPT-5.5 Pro, 9 May 2026

Partial result (Lean) (solution to second part)

- Outcome: partial
- Autonomy A3: Autonomous. The system produced the result without significant human mathematical involvement.
- Evidence V2: Artifact reported. A proof or a constructed object is published, but nobody independent of its authors has rebuilt it.
- Fidelity F2: Declared. The authors record how the formal statement corresponds to the claim — a comparator challenge, an alignment table or written divergences — or a statement corpus cites the proof against its own statement.
- 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.

- Tinius Alexander Lystad, using Kimi K3: a partial proof claimed, 2 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/263/proof-claims#proof-claim-181
- T. Alexander Lystad, using Kimi K3: a partial proof claimed, 2 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/263/proof-claims#proof-claim-179
- T. Alexander Lystad, using Kimi K3: a partial proof claimed, 1 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/263/proof-claims#proof-claim-176

## Formal statements

- FormalConjectures/ErdosProblems/263.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/263.lean

Cite as: qed.bot, "Erdős Problem 263", https://qed.bot/s/erdos-263, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/