De los números de Midy a la primalidad

JOHN H. CASTILLO^{a *}, GILBERTO GARCÍA-PULGARÍN^b,
JUAN MIGUEL VELÁSQUEZ-SOTO^c

^a Universidad de Nariño, Departamento de Matemáticas y Estadística, Pasto, Colombia.
_b Universidad de Antioquia, Instituto de Matemáticas, Medellín, Colombia.
_c Universidad del Valle, Departamento de Matemáticas, Cali, Colombia.

Resumen Utilizando propiedades de los números de Midy se define el concepto de q-seudoprimo base b, el cual extiende la idea de seudoprimo fuerte base b, y a partir de dicho concepto se establece un nuevo criterio de primalidad que refina el Teorema de Pocklington.

Palabras claves: Números primos, seudoprimalidad fuerte, números de Midy, Teorema de Pocklington.
MSC2010: 11A51, 11Y11, 11Y55, 11B83.

From Midy numbers to primality

Abstract We define the concept of q-pseudoprime to base b, which extends the idea of strong pseudoprime to base b. We stablish a new test of primality that refines the Pocklinton's Theorem using some properties of the Midy numbers.

Keywords: Prime numbers, strong pseudoprimality, Midy's numbers, Pocklington's Theorem.

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^*E-mail: jhcastillo@gmail.com
Recibido: 23 de mayo de 2014, Aceptado: 02 de enero de 2015.
Para citar este artículo: J.H. Castillo, G. García-Pulgarín, J.M. Velásquez-Soto, De los números de Midy a la primalidad, Rev. Integr. Temas Mat. 33 (2015), no. 1, 1-10.