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

 

Đã lưu trong:
Chi tiết về thư mục
Tác giả: Miramontes de León, Gerardo
Định dạng: artículo original
Trạng thái:Versión publicada
Ngày xuất bản:2022
Miêu tả: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.
Quốc gia:Portal de Revistas TEC
Tổ chức giáo dục:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Ngôn ngữ:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/6176
Truy cập trực tuyến:https://revistas.tec.ac.cr/index.php/matematica/article/view/6176