What was already known
Erdős proved the leading asymptotic g₃(n)∼n log log n/log n. The corrected question asks whether the next coefficient exists.
AI involvement
Colin Snyder built and ran the Star Fleet harness. Its account credits a GPT-5.6 agent with the upper and lower bounds and Lean development; the displayed referee is another AI agent.
The system account assigns a GPT-5.6 starship to solve a separate problem with no documented human mathematical input beyond task selection and harness operation.
Importance
The limit settles the second-order constant question for this multiplicative representation problem.
Limitations
The original printed denominator is disputed as a typo. A separate near-contemporaneous GPT-assisted Lean proof by Rishi Gajjala uses a differently defined variational constant; equivalence and priority remain unresolved.
Technical verification
Star Fleet reports a closed Lean theorem for the corrected convergence statement, a line-by-line statement audit by its Claude referee, a cited 8737-job build, an axiom audit with only standard axioms, and a fresh GCP reconstruction. This is source-reported machine verification; the public bundle was not rebuilt here and the referee is not counted as human checking.
Independent checking
Pinned verifier and clean Lean build, statement comparison, re-elaboration, and #print axioms audit
- Checker
- Lean 4 kernel, reported by Star Fleet's Claude referee and separate GCP rebuild
- Scope
- Erdos796.erdos796_statement: convergence of the corrected normalized g_3 residual
- Basis
- Reported by the linked checker
Human understanding
The report has an AI referee but no named human explanation of the upper-reduction and variational-limit mechanism; Few is the evidence default.
Correction and publication history
If correct, the limit settles the second-order constant question for this multiplicative representation problem.
Read this published revision