A basic characteristic of twin primes and its generalization

  • Authors:
  • Sebastián Martín Ruiz;Azmy Ariff

  • Affiliations:
  • Avda de Regla, 43, Chipiona 11550, Spain;P O Box 444, Jalan Sultan, Petaling Jaya 46750, Malaysia

  • Venue:
  • Smarandache Notions Journal
  • Year:
  • 2004

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Abstract

The sum of powers of positive divisors of an integer, expressed in terms of the floor function, provides the basis for another characterization of twin primes in particular, and of prime k-tuples generally. This elementary characterization is deployed in a software test for prime k-tuples using Mathematica.