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

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.

Content

Author and article information

Journal

Title: AfricArXiv Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 17 November 2022

Affiliations

[1 ] African Institute for Mathematical sciences

[2 ] Carinthia University of Applied Sciences, Spittal on Drau, Austria

Author notes

[* ]Email: theophilus@ 123456aims.edu.gh .

Author information

Theophilus Agama https://orcid.org/0000-0001-7790-9368

Berndt Gensel https://orcid.org/0000-0002-7563-9090

Article

DOI: 10.14293/111.000/000052.v1

SO-VID: 2019b416-d96f-4a0c-aa5f-8929c822593b

License:

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

Date received : 17 November 2022

Data availability: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

ScienceOpen disciplines: Mathematics

Keywords: axes, squeeze principle

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

Abstract