Number Theory

    

Refined Prime Gaps Conjecture: Empirical Validation and Formalization

Authors: Blaize Rouyea, Corey Bourgeois, Trey Bourgeois

The Refined Prime Gaps Conjecture posits that non-trivial zeros of the Riemann zeta function contribute periodic corrections to prime gaps, refining their distribution. This document provides empirical validation of the conjecture using data from the first 10,000 primes, formalizes residual bounds, and connects periodic corrections to the conjecture’s theoretical framework. Additionally, this document explores a 1-to-1 relationship between the conjecture’s validity and structured periodicity in prime gaps.end{abstract}

Comments: 3 Pages.

Download: PDF

Submission history

[v1] 2024-12-05 02:44:19

Unique-IP document downloads: 118 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus