# Erdős Problem 289

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:289
- Collection: Erdős
- Page: https://qed.bot/s/erdos-289
- 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/289

## 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.

- David Budden, using PingYou: a full proof claimed, 26 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/289/proof-claims#proof-claim-356
- Yuren Tang, using GPT-5.6 Sol (core mathematical development), GPT-5.6 Sol, GPT-6 Astra, Claude Opus 5 (drafting and review), possibly other OpenAI or Anthropic models: a full proof claimed, 7 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/289/proof-claims#proof-claim-279
- Johan Land, using Astra, Fabel 5.1, Gemini-Flash-3.8: a full proof claimed, 4 Sep 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/289/proof-claims#proof-claim-248

## Formal statements

- FormalConjectures/ErdosProblems/289.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/289.lean

Cite as: qed.bot, "Erdős Problem 289", https://qed.bot/s/erdos-289, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/