On a congruence only holding for primes II

2008/12/15 by Emmanuel Vantieghem, Vantieghem, Emmanuel
Mathematics · #11A07 #11A41 #11A51 #11C08 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A07 #msc:11A41 #msc:11A51 #msc:11C08

paper · pdf · doi:10.48550/arxiv.0812.2841

4 pages

arxiv created 2009/02/19 · arxiv updated 2009/12/01

Abstract

We present a primality criterium based on congruences for cyclotomic polynomials, and point out a way to generalize our result in order to obtain a family of similar criteria. No practical use is aimed however.

Related

• A Congruence Property of Solvable Polynomials
• Cyclotomic primes
• A generalisation of a congruence due to Vantieghem only holding for primes
• A Note on Cyclotomic Polynomials
• Cyclotomy Primality Proofs and their Certificates