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https://hdl.handle.net/10495/23653| Título : | Characterizations of Midy's Property |
| Autor : | García Pulgarín, Gilberto Giraldo Salazar, Hernán Alonso |
| metadata.dc.subject.*: | Teorema de Midy Teoría de los números Numbers, Theory of |
| Fecha de publicación : | 2009 |
| Editorial : | Colgate University, Charles University, and DIMATIA |
| Resumen : | ABSTRACT: In 1836 E. Midy published in France an article where he showed that if p is a prime number, such that the smallest repeating sequence of digits in the decimal expansion of 1 p has an even length, when this sequence is broken into two halves of equal length if these parts are added then the result is a string of 9s. Later, J. Lewittes and H. W. Martin generalized this statement when the length of the smallest repeating sequence of digits is e = kd and the sequence is broken into d blocks of equal length and the expansion is over any number base; that fact was named Midy’s property. We will give necessary and sufficient conditions (that are easy to check) for the integer N to satisfy Midy’s property. |
| metadata.dc.identifier.eissn: | 1553-1732 |
| Aparece en las colecciones: | Artículos de Revista en Ciencias Exactas y Naturales |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| GarcíaGilberto_2009_ CharacterizationsMidyProperty.pdf | Artículo de investigación | 380.12 kB | Adobe PDF | Visualizar/Abrir |
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