Definition:Regular Prime
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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
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): regular prime
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): regular prime