# Erdős Problem 64

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:64
- Collection: Erdős
- Page: https://qed.bot/s/erdos-64
- Formal record: open; at its source: falsifiable
- Prize: $1000
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://www.erdosproblems.com/64

## 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.

- Guillem Duran-Ballester, using GPT 5.4-5.6, Opus, Fable: a partial proof claimed, 19 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/64/proof-claims#proof-claim-212
- Andrew Bisch, using Claude (Anthropic), Grok (xAI): a partial proof claimed, 17 Aug 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/64/proof-claims#proof-claim-206

## Formal statements

- FormalConjectures/ErdosProblems/64.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/64.lean

Cite as: qed.bot, "Erdős Problem 64", https://qed.bot/s/erdos-64, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/