Around the Wilson's theorem

Autor

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

Słowa kluczowe:

prime number, Wilson’s theorem, congruence

Abstrakt

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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Bibliografia

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.

Pobrania

Opublikowane

2017-07-05

Jak cytować

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

Numer

Tom 5 (2013)

Dział

Artykuły

Licencja

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