1. On the generating functions of Mersenne and Fermat primes
- Author
-
Pablo Andres Panzone
- Subjects
Discrete mathematics ,Pure mathematics ,Mathematics::General Mathematics ,Mathematics::Number Theory ,Applied Mathematics ,General Mathematics ,Otras Ciencias Naturales y Exactas ,Mathematics::History and Overview ,Mersenne prime ,Fermat's theorem on sums of two squares ,Prime number ,purl.org/becyt/ford/1.7 [https] ,Safe prime ,Data_CODINGANDINFORMATIONTHEORY ,Wieferich prime ,Repunit ,purl.org/becyt/ford/1 [https] ,TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES ,MERSENNE PRIMES ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,Double Mersenne number ,FERMAT PRIMES ,CIENCIAS NATURALES Y EXACTAS ,Mathematics ,Fermat number - Abstract
With the aid of Solomon Golomb formula we give closed formulas for the generating functions of Mersenne and Fermat primes. A limit-type criteria for the existence of an infinite number of such primes is given using these generating functions. Fil: Panzone, Pablo Andres. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
- Published
- 2010