On the Extension of the Gaussian Moat Problem

Fuente: arXiv
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Auteur principal: Das, Madhuparna
Format: Preprint
Publié: 2019
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author Das, Madhuparna
author_facet Das, Madhuparna
contents In this paper, we have developed an algorithm for the prime searching in $\mathbb{R}^3$. This problem was proposed by M. Das [Arxiv,2019]. This paper is an extension of her work. As we know the distribution of primes will get more irregular as we are going to infinity and going to the higher dimensions. We have also shown that why it is not possible to extend the Gaussian Moat problem for the higher dimensions (more than four dimensional plane).
format Preprint
id arxiv_https___arxiv_org_abs_1901_10016
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle On the Extension of the Gaussian Moat Problem
Das, Madhuparna
Number Theory
In this paper, we have developed an algorithm for the prime searching in $\mathbb{R}^3$. This problem was proposed by M. Das [Arxiv,2019]. This paper is an extension of her work. As we know the distribution of primes will get more irregular as we are going to infinity and going to the higher dimensions. We have also shown that why it is not possible to extend the Gaussian Moat problem for the higher dimensions (more than four dimensional plane).
title On the Extension of the Gaussian Moat Problem
topic Number Theory
url https://arxiv.org/abs/1901.10016