Number Theory

    

The prime Number Theorem and Prime Gaps

Authors: Hyeon Jun Ahn

Let there exists m > 0 such that gn = O((logpn)m), then∀k > 0, ∃M ∈ N s.t. n ≥ M ⇒ gn := pn+1 − pn < pknwhere pn is nth prime number, O is big O notation, log is natural logarithm.This lead to a corollary for Andrica conjecture, Oppermann conjecture.

Comments: 9 Pages. This paper is a etude

Download: PDF

Submission history

[v1] 2022-07-07 23:30:14
[v2] 2022-09-04 06:38:39

Unique-IP document downloads: 871 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