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A088962
Values of n that generate Generalized Gaussian-Mersenne primes (see below).
2
2, 3, 4, 5, 7, 9, 10, 11, 12, 14, 15, 18, 19, 21, 22, 26, 27, 29, 30, 33, 34, 35, 42, 45, 47, 49, 51, 54, 55, 58, 63, 65, 66, 69, 70, 73, 79, 85, 86, 87, 105, 106, 110, 111, 113, 114, 126, 129, 138, 147, 151, 157, 163, 167, 178, 186, 189, 217, 231, 239, 241, 242, 283
OFFSET
1,1
LINKS
M. Chamberland, Binary BBP-Formulae for Logarithms and Generalized Gaussian-Mersenne Primes, Journal of Integer Sequences, v.6 (2003), article 03.3.7, 1-10.
FORMULA
The numerator of the rational expression exp( 2 Re( log (Phi_n ((1+i)/2) ) ) is prime, where Phi_n is the n-th cyclotomic polynomial.
MATHEMATICA
t = {}; Do[s = FullSimplify[Exp[2 Re[Log [Cyclotomic[n, (1 + I)/2]]]]]; If[PrimeQ[Numerator[s]], AppendTo[t, n]], {n, 100}]; t (* T. D. Noe, May 02 2012 *)
CROSSREFS
Cf. A057429, A182300 (Gaussian-Mersenne primes).
Sequence in context: A039055 A047504 A359830 * A047363 A191917 A228894
KEYWORD
nonn
AUTHOR
Marc Chamberland, Oct 28 2003
STATUS
approved