A Formula That Generates Prime Numbers: Una Fórmula Que Genera Números Primos

 

Gespeichert in:
Bibliographische Detailangaben
Verfasser: Camacho Medina, José de Jesús
Format: artículo original
Status:Versión publicada
Publikationsdatum:2021
Beschreibung:There are various classes of functions that generate prime numbers, some of them are evencapable of producing the nth prime number as is the case of the formula by Willans (1964) and Ruizand Sondow (2014). In this work a function a(n) based on the divisor function d(n) is offered as aproposal, which generates prime numbers. For the sequence defined as: a(n) = n · 2/(n−d(n)) with n>1, it is proved that a(n) produces only zeros and primes: a(n) = 0 if n is composite or a(n) = n if n is prime
Land:Portal de Revistas TEC
Institution:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Sprache:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/5736
Online Zugang:https://revistas.tec.ac.cr/index.php/matematica/article/view/5736