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:
“It was inspiriting to hear the regular dip of the paddles, as if they were our fins or flippers, and to realize that we were at length fairly embarked. We who had felt strangely as stage-passengers and tavern-lodgers were suddenly naturalized there and presented with the freedom of the lakes and woods.”
—Henry David Thoreau (18171862)
“My prime of youth is but a frost of cares,
My feast of joy is but a dish of pain,
My crop of corn is but a field of tares,
And all my good is but vain hope of gain:
The day is past, and yet I saw no sun,
And now I live, and now my life is done.”
—Chidiock Tichborne (15581586)