Search: id:A072226
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%I A072226
%S A072226 2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,22,24,26,27,30,31,32,33,34,38,
%T A072226 40,42,46,49,56,61,62,65,69,77,78,80,85,86,89,90,93,98,107,120,122,126,
%U A072226 127,129,133,145,150,158,165,170,174,184,192,195,202,208,234,254,261
%N A072226 Values of n for which Phi_n(2) is prime, where Phi_n is the n-th cyclotomic
polynomial.
%C A072226 Numbers n for which A019320(n) is prime. The prime n in this sequence
are in A000043, which produce the Mersenne primes. If 2p is in this
sequence, with p prime, then p is a Wagstaff number, A000978. - T.
D. Noe, Apr 02 2008
%C A072226 While the sequence looks quite dense for small values, note that there
are only 10 values in the interval [700,1200]. - M. F. Hasler (www.univ-ag.fr/
~mhasler), Apr 03 2008
%D A072226 Yves Gallot, Cyclotomic polynomials and prime numbers (November 12, 2000;
revised January 5, 2001)
%H A072226 T. D. Noe, Table of n, a(n) for n=1..277 (initial
234 terms from Yves Gallot)
%H A072226 Joerg Arndt, Fxtbook
%H A072226 Yves Gallot,
Cyclotomic polynomials and prime numbers
%H A072226 Index entries
for cyclotomic polynomials, values at X
%t A072226 Select[Range[600], PrimeQ[Cyclotomic[ #, 2]]&]
%o A072226 (PARI) for( i=1,999, ispseudoprime( polcyclo(i,2)) && print1( i","))
/* for PARI < 2.4.2 use ...subst(polcyclo(i),x,2)... */ - M. F. Hasler
(www.univ-ag.fr/~mhasler), Apr 03 2008
%Y A072226 Cf. A138920-A138940.
%Y A072226 Sequence in context: A102823 A004775 A004744 this_sequence A074402 A094270
A125705
%Y A072226 Adjacent sequences: A072223 A072224 A072225 this_sequence A072227 A072228
A072229
%K A072226 nonn
%O A072226 1,1
%A A072226 Reiner Martin (reinermartin(AT)hotmail.com), Jul 04 2002
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