Explicit Bounds on Prime Gap Sequence Graphicality
Published:Dec 30, 2025 13:42
•1 min read
•ArXiv
Analysis
This paper provides explicit, unconditional bounds on the graphical properties of the prime gap sequence. This is significant because it moves beyond theoretical proofs of graphicality for large n and provides concrete thresholds. The use of a refined criterion and improved estimates for prime gaps, based on the Riemann zeta function, is a key methodological advancement.
Key Takeaways
Reference
“For all \( n \geq \exp\exp(30.5) \), \( \mathrm{PD}_n \) is graphic.”