English

On Wilson's Theorem and Polignac Conjecture

Number Theory 2007-05-23 v1

Abstract

We introduce Wilson's theorem and Clement's result and present a necessary and sufficient condition for p and p+2k to be primes where k is a positive integer. By using Simiov's Theorem, we derive an improved version of Clement's result and characterizations of Polignac twin primes which parallel previous characterizations.

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Cite

@article{arxiv.math/0408018,
  title  = {On Wilson's Theorem and Polignac Conjecture},
  author = {Lin Cong and Zhipeng Li},
  journal= {arXiv preprint arXiv:math/0408018},
  year   = {2007}
}

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8 pages