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      The Nicholson's conjecture

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      research-article
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      ScienceOpen Preprints
      ScienceOpen
      Distribution of primes, Prime gaps bound, Maximal prime gaps bound, Nicholson's conjecture, Prime number theorem
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            Abstract

            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
            ScienceOpen Preprints
            ScienceOpen
            24 February 2021
            Affiliations
            [1 ] N. A.
            Author information
            https://orcid.org/0000-0002-9388-1470
            Article
            10.14293/S2199-1006.1.SOR-.PPT1JIB.v1
            8daa0c90-47d5-484d-8290-2f925b1d0d00

            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
            : 24 February 2021

            The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
            Mathematics
            Distribution of primes,Prime gaps bound,Maximal prime gaps bound,Nicholson's conjecture,Prime number theorem

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