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Erdős·erdos:333

Erdős Problem 333

problem formal record: solved source: disproved (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, additive basis·Source

AI activity

How grades work
Claude Opus 4.5, GPT-5.2 Pro

25 Dec 2025

Full solution (Lean)

full A3 V2 F2
Reasoning and sources

Autonomy

AI standalone, with comparable literature existing

Details

literature: 🟢 Erdős and Newman (1977)

literature found on: 25 Dec, 2025

similar?: Yes

GPT-5.2 Pro

25 Dec 2025·supporting task

Incorrect proof claimed; literature proof not found

incorrect A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: literature search

Aletheia

1 Feb 2026·supporting task

Full solution found

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: literature search

Fidelity

How fidelity is graded

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

Follow and discuss

All discussion

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Formal material

Formal statements · 1
Cited proofs · 1

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #333

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

Also known as · 3
  • https://www.erdosproblems.com/333
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/333.lean
  • FormalConjectures/ErdosProblems/333.lean

Cite this record

qed.bot, “Erdős Problem 333”, https://qed.bot/s/erdos-333, as of 30 Sep 2026.

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