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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 ]

Item(s) in original BibTeX format

@unpublished{PH2002,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.}
}

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