On the generating functions of Mersenne and Fermat primes

• Autores: Pablo A. Panzone
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 1, 2012, págs. 59-69
• Idioma: inglés
• DOI: 10.1007/s13348-010-0019-3
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• 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.