GPT-5.6 starships (Claude Fable 5 reviewer)
Produced by the GPT-5.6 starships pipeline with Claude Fable 5 as reviewer.
Provider: OpenAI / Anthropic · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #538
VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
If each integer has at most $r$ representations $m = pa$ with $p$ prime and $a \in A \subseteq [1, N]$, what is the best upper bound for $\sum_{a \in A} 1/a$? The candidate proof gives the matching order $\Theta_r(\log N / \log\log N)$.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
What AI did
Verification boundary
Lean-checked; the erdosproblems.com community status is still pending, so this is a candidate rather than an accepted resolution.
Correctness: supported · statement fidelity: audited · peer review: none
Timeline
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erdosproblems.com/538
VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
- The source status is candidate and must not be represented as solved.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- VibeMath has not independently audited the mathematical statement, proof, or novelty claim.