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Claim in Erdős problems that formal-conjectures marks solved

A published paper or arXiv preprint answers the main question of Erdős Problem #968 (theorem erdos_968 in formal-conjectures) in full (proof, disproof, or the exact value asked for) with no hypotheses beyond the problem's own.

Problem as stated at github.com/google-deepmind/formal-conjectures/blob/34ee0e3c5fd52d202d62a71094a37970cb5fb870/FormalConjectures/ErdosProblems/968.lean. The claim text is written by Corroborate; that site has not reviewed or endorsed it.

The problem, as stated in formal-conjectures (Apache 2.0):

Does the set `{n | u n < u (n+1)}` have positive lower density? Yes. This was proved by an internal OpenAI model in September 2026 [OAI26a]; see the linked Lean proof.

Verdict: no verdict yet

formal-conjectures marks problem #968 as solved. Those pages say who settled it and how.

Evidence for

None yet.

Evidence against

None yet.