# Erdős Problem 888

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:888
- Collection: Erdős
- Page: https://qed.bot/s/erdos-888
- Formal record: solved; at its source: solved (Lean)
- 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/888

## AI claims

### Claude Opus 4.5, Gemini 3 Pro, GPT-5.2 Thinking, 18 Jan 2026

Incorrect proof found

- Outcome: incorrect
- 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 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

### Aristotle, GPT-5.5 Pro, 25 Apr 2026

Full solution

- Outcome: full
- 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 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.
- With: Przemek Chojecki
- 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.

- Rogerhu, using GPT-6 Astra: a partial proof claimed, 17 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/888/proof-claims#proof-claim-320

## Formal statements

- FormalConjectures/ErdosProblems/888.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/888.lean

Cite as: qed.bot, "Erdős Problem 888", https://qed.bot/s/erdos-888, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/