The distribution of primes in a short interval

This research paper begins the presentation, with the topic of the distribution of primes in a short interval. The lower and upper limits for the number of primes within the interval are defined unambiguously. This provides us with a solid foundation, to resolve conclusively the Second Hardy-Littlewood´s conjecture. The paper concludes with the Merit of a Prime Gap and the Second Harald Cramer´s conjecture.

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 12 July 2021

Affiliations

[1 ] N.A.

Author notes

[* ]Email: jan.feliksiak1@ 123456yahoo.com .

Author information

Jan Feliksiak https://orcid.org/0000-0002-9388-1470

Article

DOI: 10.14293/S2199-1006.1.SOR-.PP3QFL7.v1

SO-VID: beed9629-ad01-4ec6-a36f-548a54d7ffd7

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 12 July 2021

Data availability: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

ScienceOpen disciplines: Mathematics

Keywords: Density of primes in a short interval,Distribution of primes,P. Erdos conjecture for primes in short intervals,Logarithmic integral,Maximal prime gaps bounds,Maximal prime gaps Supremum,Prime Gap Merit,Prime Number Theorem,Second Cramer´s conjecture,Second Hardy-Littlewood conjecture