Around the Wilson's theorem

Authors

  • Jan Górowski Instytut Matematyki, Uniwersytet Pedagogiczny w Krakowie
  • Adam Łomnicki Instytut Matematyki, Uniwersytet Pedagogiczny w Krakowie

Keywords:

prime number, Wilson’s theorem, congruence

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.

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References

Dence, J. B., Dence, T. P.: 1995, Anecessary and sufficient conditions for twin primes, Missouri J. Math. Sci. 7(3), 129-131.

Ribenboim, P.: 1991, The little book of big primes, Springer Verlag, New York.

Sierpiński, W.: 1988, Elementary theory of numbers. second edition, North-Holland PublishingCo, Amsterdam.

Yan, S. Y.: 2006, Number theory for computing, Springer Verlag, Berlin.

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Published

2017-07-05

How to Cite

Górowski, J., & Łomnicki, A. (2017). Around the Wilson’s theorem. Annales Universitatis Paedagogicae Cracoviensis | Studia Ad Didacticam Mathematicae Pertinentia, 5, 51–56. Retrieved from https://didacticammath.uken.krakow.pl/article/view/3668

Issue

Vol. 5 (2013)

Section

Contents

License

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