Problem detail · source-aware

Composites Among $[\xi 7^n]$ and Right-Truncatable Primes in Base 7

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

For every real $\xi>0$ the sequence of integer parts $[\xi 7^{n}]$, $n=0,1,2,\dots$, contains infinitely many composite numbers. Second, there is no infinite right truncatable prime in base 7.

This statement is indexed from an attributed source. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

Fable 5, Opus 4.8

The source reports an AI-produced computational route, certificate, Lean formalization, and draft under human direction.

Provider: Anthropic · Prompt public: unknown · Independence: unknown

Verification boundary

lean checked statement unaudited

VibeMathed reports a source audit with a documented native_decide boundary; VibeMath did not compile or independently audit it.

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

Timeline

  1. On the composites among [ξ7ⁿ]

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

Known method families

computation (source-reported)

Source-reported tools: computation.

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.