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)
| 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:
“They were regular in being gay, they learned little things that are things in being gay, they learned many little things that are things in being gay, they were gay every day, they were regular, they were gay, they were gay the same length of time every day, they were gay, they were quite regularly gay.”
—Gertrude Stein (1874–1946)
“If one had to worry about one’s actions in respect of other people’s ideas, one might as well be buried alive in an antheap or married to an ambitious violinist. Whether that man is the prime minister, modifying his opinions to catch votes, or a bourgeois in terror lest some harmless act should be misunderstood and outrage some petty convention, that man is an inferior man and I do not want to have anything to do with him any more than I want to eat canned salmon.”
—Aleister Crowley (1875–1947)