On the generating functions of Mersenne and Fermat primes

Panzone, Pablo Andres

Artículos de revistas

Fecha

2012-01

Registro en:

Panzone, Pablo Andres; On the generating functions of Mersenne and Fermat primes; Springer; Collectanea Mathematica; 63; 1; 1-2012; 59-69

0010-0757

http://hdl.handle.net/11336/15455

2038-4815

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1853637

Autor

Panzone, Pablo Andres

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

FERMAT PRIMES

MERSENNE PRIMES

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