Regular prime
This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
View other properties of prime numbers | View other properties of natural numbers
Definition
A regular prime is a prime number greater than 2 such that the corresponding cyclotomic ring of integers is a unique factorization domain.
A prime greater than 2 that is not a regular prime is termed an irregular prime.
Facts
- Infinitude conjecture for regular primes: It is conjectured that there are infinitely many regular primes, and in fact, the asymptotic density of regular primes is conjectured to be around .
