Regular Prime

In number theory, a regular prime is a prime number p > 2 that does not divide the class number of the p-th cyclotomic field.

The first few regular primes are:

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, ... (sequence A007703 in OEIS)
List of unsolved problems in mathematics
Are there infinitely many regular primes, and if so is their relative density ?

Read more about Regular Prime:  Kummer's Criterion, Properties, Irregular Primes, Irregular Pairs, History

Famous quotes containing the words regular and/or prime:

    “I couldn’t afford to learn it,” said the Mock Turtle with a sigh. “I only took the regular course.”
    “What was that?” inquired Alice.
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    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)

    The prime lesson the social sciences can learn from the natural sciences is just this: that it is necessary to press on to find the positive conditions under which desired events take place, and that these can be just as scientifically investigated as can instances of negative correlation. This problem is beyond relativity.
    Ruth Benedict (1887–1948)