Definition:Regular Prime

From ProofWiki
Jump to navigation Jump to search

Definition

A regualr prime is a prime number $p$ that is not a divisor of the class number of the field obtained by adjoining to the rational numbers a primitive $p$th root of unity.


Also see

  • Results about regular primes can be found here.


Historical Note

The concept of a regular prime was conceived by Ernst Eduard Kummer in $1850$ in his work on Fermat's Last Theorem.

He proved that Fermat's Last Theorem holds for all exponents $p$ such that $p$ is a regular prime.


Sources