# Erdős Problem 906

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:906
- Collection: Erdős
- Page: https://qed.bot/s/erdos-906
- Formal record: open; 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/906

## AI claims

### Unspecified, 25 Apr 2026

Candidate full solution

- Outcome: candidate
- Autonomy A1: Collaborative. A human and a system worked the problem together, or the system played a supporting role.
- Evidence V0: Claimed. No public artifact, or the claim is marked unverified at source.
- Fidelity F0: Absent. No formal statement is attached to the result.
- With: Adriano Almeida
- Source: Erdős problems AI wiki, https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems

### GPT-5.5 Pro, 25 Apr 2026

Candidate full solution

- Outcome: candidate
- Autonomy A1: Collaborative. A human and a system worked the problem together, or the system played a supporting role.
- Evidence V0: Claimed. No public artifact, or the claim is marked unverified at source.
- Fidelity F0: Absent. No formal statement is attached to the result.
- 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.

- ZhiJie He, using GPT-5.6 Sol, GPT-6 Astra, Aristotle: a full proof claimed, 17 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/906/proof-claims#proof-claim-319
- Eric Hou, using ChatGPT 5.6 Sol: a full proof claimed, 21 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/906/proof-claims#proof-claim-99

## Formal statements

- FormalConjectures/ErdosProblems/906.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/906.lean

Cite as: qed.bot, "Erdős Problem 906", https://qed.bot/s/erdos-906, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/