The Asymptotic Binary Goldbach and Lemoine Conjectures
Number Theory
2026-04-21 v16
Abstract
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.
Cite
@article{arxiv.1709.05335,
title = {The Asymptotic Binary Goldbach and Lemoine Conjectures},
author = {Theophilus Agama and Berndt Gensel},
journal= {arXiv preprint arXiv:1709.05335},
year = {2026}
}
Comments
14 pages; the paper has been reformatted and introduction greatly expanded; ideas remain unchanged; a visual of the CoP structure has been supplied. arXiv admin note: text overlap with arXiv:1706.09803