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Erdős·erdos:997

Erdős Problem 997

problem formal record: solved source: proved (Lean)no F1 unaudited

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

Fidelity F1: A formal artifact exists, but nothing records that its statement says what the claim says.

analysis, discrepancy, primes·Source

AI activity

How grades work
OpenAI internal model

2026-03-31

Full solution

full A3 autonomous V1 write-up F1 unaudited
Reasoning and sources

Autonomy

AI standalone, with comparable literature existing

Details

literature: 🟡 Benatar (2014)

literature found on: 1 Apr, 2026

similar?: Yes

Aristotle

2026-04-01·supporting task

OpenAI internal model (2026)

full A1 collaborative V1 write-up F1 unaudited
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: OpenAI internal model (2026)

Does the formal statement say what was claimed?

F1 unaudited A formal artifact exists, but nothing records that its statement says what the claim says.

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 #997

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

Also known as · 3
  • https://www.erdosproblems.com/997
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/997.lean
  • FormalConjectures/ErdosProblems/997.lean