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:
“I couldnt afford to learn it, said the Mock Turtle with a sigh. I only took the regular course.
What was that? inquired Alice.
Reeling and Writhing, of course, to begin with, the Mock Turtle replied; and then the different branches of ArithmeticAmbition, Distraction, Uglification, and Derision.
I never heard of Uglification, Alice ventured to say.”
—Lewis Carroll [Charles Lutwidge Dodgson] (18321898)
“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 (18871948)