# Erdős Problem 973

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:973
- Collection: Erdős
- Page: https://qed.bot/s/erdos-973
- Formal record: solved; at its source: open
- Machine-checked: yes, by Palomar
- Fidelity F3: The project checks its proof with Comparator against a statement from a corpus written separately from the proof, and held here.
- Source: https://www.erdosproblems.com/973

## 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.

- RayYoung, Keheng Zhu, Yanping Luo, using GPT 5.6 Sol Pro: a full proof claimed, 15 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/973/proof-claims#proof-claim-56

## Checks

- verified, by Palomar: Registered by Palomar at 1571a487: Comparator confirmed 2 theorems prove the recorded statement within Palomar's axiom policy, replayed through Lean's kernel and the independent nanoda kernel (https://palomar-registry.org/entry.html?id=PALOMAR-2026-09-20-000008)

## Formal statements

- FormalConjectures/ErdosProblems/973.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/973.lean

Cite as: qed.bot, "Erdős Problem 973", https://qed.bot/s/erdos-973, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/