Infinitude conjecture for regular primes

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This article states a conjecture about there existing infinitely many of the following numbers/structures: regular prime
View other infinitude conjectures | View infinitude facts

Statement

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

Stronger conjectures