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: Cátedra UNESCO en Gestión de Información en las Organizaciones (La Habana) 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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author Ernesto Tapia Moore
José Tapia Yañez
author_facet Ernesto Tapia Moore
José Tapia Yañez
author_sort Ernesto Tapia Moore
collection DOAJ
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.
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publishDate 2016-03-01
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spelling doaj.art-dd80e0970939431ebd094296b20acc822023-02-02T15:08:42ZengCátedra UNESCO en Gestión de Información en las Organizaciones (La Habana)GECONTEC: 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
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
title 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_short The occurrence of prime numbers revisited
title_sort occurrence of prime numbers revisited
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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