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Erdős·erdos:650

Erdős Problem 650

problem formal record: solved source: solved (Lean) F2 declared

No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.

Fidelity F2: The statement corpus cites this proof against its own statement.

number theory·Source

AI activity

How grades work
GPT-5.4 Pro

7 Mar 2026

Full solution (stronger than literature)

full A3 V1 F2
Reasoning and sources

Autonomy

AI standalone, with comparable literature existing

Details

literature: 🟢 Erdős and Selfridge (1978)

literature found on: 7 Mar, 2026

similar?: No

ChatGPT Deep research

6 Mar 2026·supporting task

Full solution found

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: literature search

Aristotle

8 Mar 2026·supporting task

He, Li and Tang (2026)

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: He, Li and Tang (2026)

AlphaEvolve

7 Mar 2026·supporting task

unstated A1 V0 F2
Reasoning and sources

Autonomy

Secondary contribution: computation

Details

computation: Numerical optimization

F2 declared. The statement corpus cites this proof against its own statement.

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Formal material

Formal statements · 1
Cited proofs · 1

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #650

    checked·machine-led·their labels: lean-verified, ai-discovered

Also known as · 3
  • https://www.erdosproblems.com/650
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/650.lean
  • FormalConjectures/ErdosProblems/650.lean

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qed.bot, “Erdős Problem 650”, https://qed.bot/s/erdos-650, as of 30 Sep 2026.

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