English

On a particular case of the Dirichlet's theorem and the Midy's property

Number Theory 2012-03-07 v1

Abstract

We give new characterizations of the Midy's property and using these results we obtain a new proof of a special case of the Dirichlet's theorem about primes in arithmetic progression.

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Cite

@article{arxiv.1203.1273,
  title  = {On a particular case of the Dirichlet's theorem and the Midy's property},
  author = {John H. Castillo and Gilberto García-Pulgarín and Juan Miguel Velásquez-Soto},
  journal= {arXiv preprint arXiv:1203.1273},
  year   = {2012}
}

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6 pages