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      The Nicholson's conjecture

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      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.

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          Author and article information

          Journal
          ScienceOpen Preprints
          ScienceOpen
          24 February 2021
          Affiliations
          [1 ] N. A.
          Article
          10.14293/S2199-1006.1.SOR-.PPT1JIB.v1

          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 .

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

          Mathematics

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

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