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@unpublished{PH2002,
  AUTHOR =       {Perschell, Karaloine and Huff, Loran},
  TITLE =        {{M}ersenne primes in imaginary quadratic number fields},
  NOTE =         {avaliable from \url{http://www.utm.edu/staff/caldwell/preprints/kpp/Paper2.pdf}},
  year =         {2002},
  abstract =     {We examine all primes of the form $b^n-1$ 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 $(1\pm)^p-1$
and the Eisenstein Mersenne primes to be the primes of the form 
$((3\pm\sqrt{-3}/2)^p-1.$  We show how to characterize these via their norms,
list the known examples and speculate on their distributions.}
}