Geodesic
Around the Wilson's theorem
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 5 (2013) no. 1, pp. 51-56.

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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. 
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Górowski, Jan; Łomnicki, Adam. Around the Wilson's theorem. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 5 (2013) no. 1, pp. 51-56. http://geodesic.mathdoc.fr/item/AUPCDM_2013_5_1_a2/