Computational analysis to “A formula that generates prime numbers”: Análisis computacional a “Una fórmula que genera números primos”
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| 作者: | |
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| 格式: | artículo original |
| 狀態: | Versión publicada |
| Fecha de Publicación: | 2022 |
| 實物特徵: | 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. |
| País: | Portal de Revistas TEC |
| 機構: | Instituto Tecnológico de Costa Rica |
| Repositorio: | Portal de Revistas TEC |
| 語言: | Español |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/6176 |
| 在線閱讀: | https://revistas.tec.ac.cr/index.php/matematica/article/view/6176 |