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Erdős·erdos:728

Erdős Problem 728

problem formal record: solved source: proved (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, factorials·Source

AI activity

How grades work
Aristotle, GPT-5.2 Pro

6 Jan 2026

Full solution (Lean)

full A3 V2 F2
Reasoning and sources

Autonomy

AI standalone, with comparable literature existing

Details

literature: 🟡 Pomerance (2014)

literature found on: 5-6 Jan, 2026

similar?: Yes

Aristotle

22 Jan 2026·supporting task

Pomerance (2026)

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: Pomerance (2026)

Aristotle, GPT-5.2 Thinking

7 Jan 2026·supporting task

Aristotle and GPT-5.2 Pro (2026)

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: rewriting

Details

argument to rewrite: Aristotle and GPT-5.2 Pro (2026)

Fidelity

How fidelity is graded

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

Follow and discuss

All discussion

Discussion and bounties for this problem load here.

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Formal material

Formal statements · 1
Cited proofs · 1

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #728: Factorial Divisibility

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

Also known as · 3
  • https://www.erdosproblems.com/728
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/728.lean
  • FormalConjectures/ErdosProblems/728.lean

Cite this record

qed.bot, “Erdős Problem 728”, https://qed.bot/s/erdos-728, as of 30 Sep 2026.

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