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A121208 Cyclotomic polynomials evaluated at prime number abscissae.

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%I A121208 #4 Feb 16 2025 08:33:02
%S A121208 1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,20,21,22,24,26,28,30,31,32,
%T A121208 36,38,40,42,43,44,46,48,50,52,54,57,58,60,61,62,66,68,70,72,73,74,78,
%U A121208 80,82,84,88,90,96,98,100,102,104,106,108,110,111,112,114,121,122,126,127
%N A121208 Cyclotomic polynomials evaluated at prime number abscissae.
%C A121208 Contains as subsets: all A006093 which are Phi_1(p), all A008864 which are Phi_2(p), all A060800 which are Phi_3(p), all A066872 which are Phi_4(p) and all A119959 which are Phi_6(p).
%H A121208 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CyclotomicPolynomial.html">Cyclotomic Polynomials</a>.
%F A121208 a(n) = Phi_j(p), p in A000040, j=1,2,3,4...
%e A121208 Contains 50, which is the fourth cyclotomic polynomial evaluated at the prime 7, 50=Phi_4(7).
%Y A121208 Cf. A000040, A006093, A008864, A060800, A066872, A119959.
%K A121208 nonn
%O A121208 1,2
%A A121208 _R. J. Mathar_, Aug 20 2006