Number Theory

    

Primes in the Intervals [kn,(k+1)n]

Authors: S. Sambasivarao

Abstract. In this paper, we prove: (a) for every integer n > 1 and a fixed integer k less than or equal to n, there exists a prime number p in between kn and (k + 1)n, and (b) conjectures of Legendre, Oppermann, Andrica, Brocard, and Improved version of Legendre conjecture as a particular case of (a).

Comments: 4 Pages. This paper is communicated to "Notes on Number Theory and Discrete Mathematics"

Download: PDF

Submission history

[v1] 2013-04-22 03:15:29
[v2] 2013-04-22 22:15:14

Unique-IP document downloads: 1137 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