In number theory, Vantieghems theorem is a primality criterion. It states that a natural number n is prime if and only if
Similarly, n is prime, if and only if the following congruence for polynomials in X holds:
- L. J. P. Kilford, A generalization of a congruence due to Vantieghem only holding for primes, 2004, arXiv:math/0402128. An article with proof and generalizations.