Number Theory


Existence Of Prime Numbers In Subsets Of The Oppermann's Intervals

Authors: ANIRILASY Méleste

We suggest that there exists, at least, one prime number in four intervals between n² and (n+1)² for any integer n 2 such that : all intervals are half-open; the excluded endpoints are multiples of n; the number of elements in each interval is equal to the least even upper bound for the biggest prime number strictly less than n. This conjecture is a strong form of Oppermann’s one.

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2018-02-17 10:38:14

Unique-IP document downloads: 28 times 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. 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