# Erdős 106

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:106
- Collection: Erdős
- Page: https://qed.bot/s/erdos-106
- Formal record: unclassified; at its source: disproved (Lean)
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://www.erdosproblems.com/106

## AI claims

### Aristotle, 10 Dec 2025

Baek, Koizumi, and Ueoro (2024)

- Outcome: partial (a supporting task)
- Autonomy A1: Collaborative. A human and a system worked the problem together, or the system played a supporting role.
- Evidence V1: Informal. A public write-up exists and has had community scrutiny.
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: Erdős problems AI wiki, https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems

## 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.

- Conner Silverstein, using Claude Opus 5 (construction, search, exact verification), ChatGPT, Grok (independent review): a full proof claimed, 29 Jul 2026. Autonomy A?, evidence V0. https://www.erdosproblems.com/forum/thread/106/proof-claims#proof-claim-166

Cite as: qed.bot, "Erdős 106", https://qed.bot/s/erdos-106, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/