Regular prime
From Number
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.
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Definition
A regular prime is a prime number greater than 2 such that does not divide the class number of the cyclotomic number field
.
A prime greater than 2 that is not a regular prime is termed an irregular prime.
Occurrence
Initial examples
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, [SHOW MORE]View list on OEISFacts
- 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
.