Problem detail · source-aware

Erdős Problem #942

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

Let $h(n)$ count powerful integers in $[n^2, (n+1)^2)$. What is the extremal order of $h(n)$?

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

Claude, Codex, Aristotle

The source does not provide a sufficiently specific role description.

Provider: Anthropic / OpenAI / Harmonic · Prompt public: unknown · Independence: unknown

Verification boundary

lean verified statement audited

Lean-checked.

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

Timeline

  1. erdosproblems.com/942

    lower bound improved to ≫ log n/(log log n · log log log n) infinitely often; the extremal 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.