Reference Database
(references for the Prime Pages)
The Prime Pages

Search Site

How Many?


Prime Curios!
e-mail list

Prime Lists

Submit primes
This is the Prime Pages' interface to our BibTeX database.  Rather than being an exhaustive database, it just lists the references we cite on these pages.  Please let me know of any errors you notice.
References: [ Home | Author index | Key index | Search ]
Perschell, Karaloine and Huff, Loran, "Mersenne primes in imaginary quadratic number fields," (2002) avaliable from
Abstract: We examine all primes of the form bn-1 in imaginary quadratic number fields, noting that besides a finite list of specific prime numbers, we find only three interesting classes of primes. Using the rational Mersenne primes (the first of the three cases) as a model, we follow Robert Spira and Mike Oakes in defining the Gaussian Mersenne primes to be the primes of the form (1±)p-1 and the Eisenstein Mersenne primes to be the primes of the form ((3± sqrt(-3) /2)p-1. We show how to characterize these via their norms, list the known examples and speculate on their distributions.
Prime Pages' Home
Another prime page by Chris K. Caldwell