JP Journal of Algebra, Number Theory and Applications
Volume 15, Issue 1, Pages 53 - 63
(October 2009)
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A NOTE ON THE GENERALIZATION OF ELITE PRIMES
Amin Witno (Jordan) and Feras Awad Mahmoud (Jordan)
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are quadratic nonresidues. This
definition has been extended using the generalized Fermat numbers
and the associated primes are called
b-elite primes. We consider, as an
alternate generalization, the b-elite primes with respect to the sequence
where b
is odd. We present some arguments for this modification and make necessary
adjustments to the classification results when the period length is one or two.
Furthermore, we search for elite and anti-elite primes to the base
up to 2.68 billion.