International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 69-72, Pages 3889-3892
doi:10.1155/S0161171204403226

A generalization of a necessary and sufficient condition for primality due to Vantieghem

L.J.P. Kilford

The University of Oxford, Mathematical Institute, 24-29 Street Giles', Oxford OX1 3LB, UK

Abstract

We present a family of congruences which hold if and only if a natural number n is prime.