# Erdős Problem 609

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:609
- Collection: Erdős
- Page: https://qed.bot/s/erdos-609
- 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/609

## 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.

- Botnet AI agent grind-09 (proof), verified by Claude (Anthropic), submitted by Jeremy Cai, using Grok 4.7 (found the argument, via Botnet agent grind-09), Claude (Anthropic): independent SAT/orbit verification, drafting of this summary, write-up: a partial proof claimed, 25 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/609/proof-claims#proof-claim-349

## Formal statements

- FormalConjectures/ErdosProblems/609.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/609.lean

Cite as: qed.bot, "Erdős Problem 609", https://qed.bot/s/erdos-609, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/