The occurrence of prime numbers revisited

Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or smaller primes from that integer); the quantity of pr...

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Main Authors: Ernesto Tapia Moore, José Tapia Yañez
Format: Article
Language:English
Published: Universidad Pablo de Olavide 2016-03-01
Series:GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología
Subjects:
Online Access:https://www.upo.es/revistas/index.php/gecontec/article/view/1888/1538
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spelling doaj-dd80e0970939431ebd094296b20acc822020-11-25T03:14:11ZengUniversidad Pablo de OlavideGECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología2255-56842016-03-0141111The occurrence of prime numbers revisitedErnesto Tapia Moore0José Tapia Yañez1Kedge Business SchoolUniversidad de ChileBased on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or smaller primes from that integer); the quantity of prime (and composite) numbers between 1 and any positive integer; the quantity of prime (and composite) numbers between any two positive integers.https://www.upo.es/revistas/index.php/gecontec/article/view/1888/1538Occurrence of prime numbersoccurrence of composite numbersautocatalysisactivator-inhibitor systems
collection DOAJ
language English
format Article
sources DOAJ
author Ernesto Tapia Moore
José Tapia Yañez
spellingShingle Ernesto Tapia Moore
José Tapia Yañez
The occurrence of prime numbers revisited
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología
Occurrence of prime numbers
occurrence of composite numbers
autocatalysis
activator-inhibitor systems
author_facet Ernesto Tapia Moore
José Tapia Yañez
author_sort Ernesto Tapia Moore
title The occurrence of prime numbers revisited
title_short The occurrence of prime numbers revisited
title_full The occurrence of prime numbers revisited
title_fullStr The occurrence of prime numbers revisited
title_full_unstemmed The occurrence of prime numbers revisited
title_sort occurrence of prime numbers revisited
publisher Universidad Pablo de Olavide
series GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología
issn 2255-5684
publishDate 2016-03-01
description Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or smaller primes from that integer); the quantity of prime (and composite) numbers between 1 and any positive integer; the quantity of prime (and composite) numbers between any two positive integers.
topic Occurrence of prime numbers
occurrence of composite numbers
autocatalysis
activator-inhibitor systems
url https://www.upo.es/revistas/index.php/gecontec/article/view/1888/1538
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