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      An improved bound on the sum of prime numbers

      Preprint
      In review
      research-article
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      ScienceOpen Preprints
      ScienceOpen
      R. Mandl inequality; sum of primes Supremum; sum of primes Estimate.
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            Abstract

            We derive two asymptotic formulae, for the upper bound on the sum of the first n primes. Both the Supremum and the Estimate of the sum are superior to known bounds. The Estimate bound had been derived to promote the efficiency of estimation of the sum.

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            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            9 July 2021
            Affiliations
            [1 ] N.A.
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPD7MQS.v1
            f2ef45bb-c734-4cb2-9527-b41c7eb264d2

            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
            R. Mandl inequality; sum of primes Supremum; sum of primes Estimate.

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