Problem detail · source-aware

Reciprocal Fermat Constant is Nonnormal

resolvedconfidence 70%

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

Precise statement

Statement not supplied by the source.

The source statement is missing. Retrieve the primary mathematical statement before domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

ChatGPT-6 Astra

Astra developed several techniques in a previous work we did together. I asked it to find problems where the techniques could be of use, it chose the constant, proved it was disjunctive in base 2, proved it was nonnormal in base 2, then generalized the result.

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

Verification boundary

lean checked statement unaudited

Full Lean verification is here: https://github.com/CaptainSude/reciprocal-Fermat-constant-Nonnormal/releases/tag/v1.0.0

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

Timeline

  1. GitHub repository with Lean proof

    The paper proves that the reciprocal Fermat constant is disjunctive but nonnormal in binary, explicitly locates every finite word, and establishes positive lower word frequencies. It extends these properties to a broad family of arithmetic series. Behavior in unrelated bases remains open.

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

The source did not supply a mathematical statement; retrieve it before replay or verification. 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.
  • The source did not supply a mathematical statement; retrieve it before replay or verification. VibeMath has not independently audited the mathematical statement, proof, or novelty claim.