Problem detail · source-aware

Erdős Problem #1101

partialconfidence 70%

VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Precise statement

Does there exist a good pairwise-coprime sequence $u_n$ with $\sum 1/u_n < \infty$ and polynomial growth? What if one only requires $u_n \le e^{o(n)}$?

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.

What AI did

GPT-5.5 Pro

The source does not provide a sufficiently specific role description.

Provider: OpenAI · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

Community note reporting the construction.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

  1. erdosproblems.com/1101

    a subexponential good sequence is constructed; the polynomial-growth question remains open

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.

  • 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.