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:
“A regular council was held with the Indians, who had come in on their ponies, and speeches were made on both sides through an interpreter, quite in the described mode,—the Indians, as usual, having the advantage in point of truth and earnestness, and therefore of eloquence. The most prominent chief was named Little Crow. They were quite dissatisfied with the white man’s treatment of them, and probably have reason to be so.”
—Henry David Thoreau (1817–1862)
“One’s prime is elusive. You little girls, when you grow up, must be on the alert to recognize your prime at whatever time of your life it may occur. You must then live it to the full.”
—Muriel Spark (b. 1918)