Fork me on GitHub
Math for the people, by the people.

User login

Eisenstein prime

Type of Math Object: 
Definition
Major Section: 
Reference

Mathematics Subject Classification

11R04 no label found

Comments

So what's the Eisenstein integer factorization of an integer that is prime in regular integers but not congruent to 2 mod 3?

(Guy 2004) p. 56 gives six examples (forgive my temporary overloading of lowercase w for lowercase omega):

3 = (1 - w)(1 - w^2)

7 = (2 - w)(2 - w^2)

13 = (3 - w)(3 - w^2)

19 = (3 - 2w)(3 - 2w^2)

etc.

Subscribe to Comments for "Eisenstein prime"