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Erdős·erdos:871

Erdős Problem 871

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, additive basis·Source

AI activity

How grades work
Claude Opus 4.5, Gemini 3 Pro

2026-01-05

Existing partial result upgraded to full solution (Lean)

full A2 directed V2 artifact F2 declared
Reasoning and sources

Autonomy

AI building on literature supplied to it

Details

literature: 🟡 Erdős and Nathanson (1989)

ChatGPT Deep research

2025-12-06·supporting task

Partial results found

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

Autonomy

Secondary contribution: literature search

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 #871

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

Also known as · 3
  • https://www.erdosproblems.com/871
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/871.lean
  • FormalConjectures/ErdosProblems/871.lean