The Asymptotic Binary Goldbach and Lemoine Conjectures

Fuente: arXiv
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Autores principales: Agama, Theophilus, Gensel, Berndt
Formato: Preprint
Publicado: 2017
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author Agama, Theophilus
Gensel, Berndt
author_facet Agama, Theophilus
Gensel, Berndt
contents In this paper, we use the former of the authors developed theory of \emph{circles of partition} to investigate possibilities to prove the binary Goldbach and Lemoine conjectures. We state the \emph{squeeze principle} and its consequences when the set of all odd prime numbers is the base set. Using this tool, we can prove asymptotic versions of the binary Goldbach and the Lemoine conjecture.
format Preprint
id arxiv_https___arxiv_org_abs_1709_05335
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle The Asymptotic Binary Goldbach and Lemoine Conjectures
Agama, Theophilus
Gensel, Berndt
Number Theory
11P32, 11P21
In this paper, we use the former of the authors developed theory of \emph{circles of partition} to investigate possibilities to prove the binary Goldbach and Lemoine conjectures. We state the \emph{squeeze principle} and its consequences when the set of all odd prime numbers is the base set. Using this tool, we can prove asymptotic versions of the binary Goldbach and the Lemoine conjecture.
title The Asymptotic Binary Goldbach and Lemoine Conjectures
topic Number Theory
11P32, 11P21
url https://arxiv.org/abs/1709.05335