Problem detail · source-aware
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Let $\mathcal{M}(n)$ be the supremum of $\sum_{a \in A} 1/(n-a)$ over pairwise coprime $A \subset [1,n)$. Erdos asked whether $\mathcal{M}(n) \le \sum_{p<n} 1/p + O(1)$ uniformly. The average order is settled: $\sum_{n \le N} \mathcal{M}(n) = e^{-\gamma} N \log\log N + O(N)$.
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.
The declaration says ChatGPT was used for ideation and formalization during preparation, with the author responsible for the mathematics. Part of the same series of Erdos-problem resolutions in this catalog.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Single-author arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
the average order; the uniform bound Erdos asked about is not settled
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.