Infinitude conjecture for regular primes
This article states a conjecture about there existing infinitely many of the following numbers/structures: regular prime
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The conjecture is that there exist infinitely many regular primes. A regular prime is a prime for which the corresponding cyclotomic ring is a unique factorization domain, or equivalently, a ring whose class number is one.
Relation with other conjectures
- Distribution conjecture for regular primes: This conjecture states that the limit, as tends to , of the fraction of primes less than that are regular, is .