Computational analysis to “A formula that generates prime numbers”: Análisis computacional a “Una fórmula que genera números primos”

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awdur: Miramontes de León, Gerardo
Fformat: artículo original
Statws:Versión publicada
Dyddiad Cyhoeddi:2022
Disgrifiad:The computational code of “A formula that generates prime numbers” is analyzed, which was published in Vol. 22, No. 1 of Revista digital Matemática, Educación e Internet and which was presented as a function a(n) given by:Here it is shown that, for each value of n, that formula reduces to a loop of the simplest primality test, that is, by trial division. It is shown, step by step, that a(n) includes operations that can be avoided, such as extracting the fractional part, and two rounding operations. It is concluded that this “formula that generates prime numbers” is actually a non-optimized proof of primality by trial division, since, for example, it does not avoid testing even values of n.
Gwlad:Portal de Revistas TEC
Sefydliad:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Iaith:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/6176
Mynediad Ar-lein:https://revistas.tec.ac.cr/index.php/matematica/article/view/6176