# Erdős Problem 477

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:477
- Collection: Erdős
- Page: https://qed.bot/s/erdos-477
- Formal record: mixed; at its source: solved
- 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/477

## AI claims

### AlphaProof, 7 Jan 2026

Solution to variant problem (Lean)

- 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.

- Hongyu Shan, Dongdong Xu, Di Liang, Chang Dai, Han Chen, using GPT 5.6 Sol: a full proof claimed, 25 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/477/proof-claims#proof-claim-350
- Diyi Liu, Binghui Peng, Hantao Yu, Runzhou Tao, Steven Wang, using GPT 5.5 Pro: a full proof claimed, 12 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/477/proof-claims#proof-claim-303
- Liam Price, using GPT 5.6 Sol Pro: a full proof claimed, 27 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/477/proof-claims#proof-claim-154

## Formal statements

- FormalConjectures/ErdosProblems/477.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/477.lean

Cite as: qed.bot, "Erdős Problem 477", https://qed.bot/s/erdos-477, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/