# Erdős Problem 617

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:617
- Collection: Erdős
- Page: https://qed.bot/s/erdos-617
- Formal record: mixed; at its source: falsifiable
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://www.erdosproblems.com/617

## AI claims

No AI contribution is recorded against this statement.

## 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.

- Nick Winter, using Claude Fable 5, GPT-5.6 Sol: a partial proof claimed, 31 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-173
- Anthony Rose, using Codex + Claude: a partial proof claimed, 25 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-137
- Robert Sneiderman, using GPT 5.6 Sol: a partial proof claimed, 21 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-105
- Conner Silverstein, using Claude Fable 5 - Chatgpt Sol 5.6: a partial proof claimed, 21 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-102
- Robert Sneiderman, using GPT 5.6: a partial proof claimed, 20 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-95
- Rob Sneiderman, using GPT 5.6 Sol: a partial proof claimed, 18 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-84
- Rob Sneiderman, using GPT 5.6 Sol: a partial proof claimed, 18 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/617/proof-claims#proof-claim-83

## Formal statements

- FormalConjectures/ErdosProblems/617.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/617.lean

Cite as: qed.bot, "Erdős Problem 617", https://qed.bot/s/erdos-617, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/