Problem detail · source-aware

Erdős Problem #959

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

How large can the difference between the largest and second-largest distance multiplicities be among $n$ planar points?

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-5.6 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

Verification boundary

lean verified statement audited

Lean-checked construction; community status pending.

Correctness: supported · statement fidelity: audited · peer review: none

Timeline

  1. erdosproblems.com/959

    superlinear lower bound M(n) ≥ n^{1 + 1/(50000 log log n)}, improving Ω(n log n); the exact order remains open

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.

  • 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.