On a congruence only holding for primes II

TL;DR

This paper introduces a primality criterion based on cyclotomic polynomial congruences and discusses potential generalizations, though it does not focus on practical applications.

Contribution

It presents a new primality test using cyclotomic polynomial congruences and proposes a framework for extending this criterion to a broader family.

Findings

A primality criterion based on cyclotomic polynomial congruences

A method to generalize the criterion for broader applicability

No immediate practical applications targeted

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.