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      The distribution of primes in a short interval

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            Abstract

            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.

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            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            12 July 2021
            Affiliations
            [1 ] N.A.
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PP3QFL7.v1
            beed9629-ad01-4ec6-a36f-548a54d7ffd7

            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
            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

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