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The source does not provide a sufficiently specific role description.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #1061
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
For $S(x) = \#\{(a,b) : a + b \le x,\ \sigma(a) + \sigma(b) = \sigma(a+b)\}$, is $S(x) \sim cx$? The preprint claims $S(x)$ grows faster than $x (\log x)^R$ for every fixed $R$, ruling out the linear asymptotic.
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
Public self-contained preprint; independent expert review pending and the official record still open.
Correctness: unknown · statement fidelity: unaudited · peer review: none
Timeline
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erdosproblems.com/1061
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
construction (source-reported)
Source-reported tools: construction.
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.