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      The Asymptotic Binary Goldbach and Lemoine Conjectures : Binary Goldbach and Lemoine Conjectures

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      AfricArXiv Preprints
      ScienceOpen
      axes, squeeze principle
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            Abstract

            In this paper we use the former of the authors developed theory of \textbf{circles of partition} to investigate possibilities to prove the binary Goldbach as well as the Lemoine conjecture. We state the \textit{squeeze principle} and its consequences if the set of all odd prime numbers is the base set. With this tool we can prove asymptotic versions of the binary Goldbach as well as the Lemoine conjecture.

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            Journal
            AfricArXiv Preprints
            ScienceOpen
            17 November 2022
            Affiliations
            [1 ] African Institute for Mathematical sciences
            [2 ] Carinthia University of Applied Sciences, Spittal on Drau, Austria
            Author notes
            Article
            10.14293/111.000/000052.v1
            2019b416-d96f-4a0c-aa5f-8929c822593b

            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 .


            Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            Mathematics
            axes, squeeze principle

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