The Nicholson's conjecture

This research paper discusses the distribution of prime numbers, from the point of view of the Nicholson's conjecture of 2013. The proof of the conjecture, permits to develop and establish a Supremum bound, on the difference of terms of the conjecture. Nicholson's conjecture belongs to the class of the strongest bounds on maximal prime gaps.

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 24 February 2021

Affiliations

[1 ] N. A.

Author information

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

Article

DOI: 10.14293/S2199-1006.1.SOR-.PPT1JIB.v1

SO-VID: 8daa0c90-47d5-484d-8290-2f925b1d0d00

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 : 24 February 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: Distribution of primes,Prime gaps bound,Maximal prime gaps bound,Nicholson's conjecture,Prime number theorem