Around the Wilson's theorem

Jan Górowski; Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2013)

  • Volume: 5, page 51-56
  • ISSN: 2080-9751

Abstract

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In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented.

How to cite

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Jan Górowski, and Adam Łomnicki. "Around the Wilson's theorem." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 5 (2013): 51-56. <http://eudml.org/doc/296348>.

@article{JanGórowski2013,
abstract = {In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {prime number; Wilson’s theorem; congruence},
language = {pol},
pages = {51-56},
title = {Around the Wilson's theorem},
url = {http://eudml.org/doc/296348},
volume = {5},
year = {2013},
}

TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - Around the Wilson's theorem
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2013
VL - 5
SP - 51
EP - 56
AB - In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented.
LA - pol
KW - prime number; Wilson’s theorem; congruence
UR - http://eudml.org/doc/296348
ER -

References

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  1. Dence, J. B., Dence, T. P.: 1995, Anecessary and sufficient conditions for twin primes, Missouri J. Math. Sci. 7(3), 129-131. 
  2. Ribenboim, P.: 1991, The little book of big primes, Springer Verlag, New York. 
  3. Sierpiński, W.: 1988, Elementary theory of numbers. second edition, North-Holland PublishingCo, Amsterdam. 
  4. Yan, S. Y.: 2006, Number theory for computing, Springer Verlag, Berlin. 

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