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Erdős·erdos:1141

Erdős Problem 1141

problem formal record: solved source: disproved (Lean)no 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, primes·Source

AI activity

How grades work
OpenAI internal model

2026-04-09

Full solution

full A3 autonomous V1 write-up F2 declared
Reasoning and sources

Autonomy

AI standalone; human involvement recorded as non-significant

GPT-5.2 Pro, GPT-5.2 Thinking

2026-01-25·with Quanyu Tang

Partial result of variant problem

partial A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

AI collaborating with humans

GPT-5.4 Pro

2026-04-11·supporting task

OpenAI internal model (2026)

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: OpenAI internal model (2026)

Does the formal statement say what was claimed?

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

Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.

Follow and discuss

All discussion

Discussion and bounties for this problem load here.

Formal material

Formal statements · 1
Cited proofs · 1

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #1141

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

Also known as · 3
  • https://www.erdosproblems.com/1141
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/1141.lean
  • FormalConjectures/ErdosProblems/1141.lean