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The Classical Smarandache Function and a Formula for Twin Primes

General Mathematics 2007-05-23 v1

Abstract

This short paper presents an exact formula for counting twin prime pairs less than or equal to x in terms of the classical Smarandache Function. An extension of the formula to count prime pairs (p, p+2n), n > 1, is also given.

Keywords

Cite

@article{arxiv.math/0502384,
  title  = {The Classical Smarandache Function and a Formula for Twin Primes},
  author = {Dhananjay P. Mehendale},
  journal= {arXiv preprint arXiv:math/0502384},
  year   = {2007}
}

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3 pages