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A145179 Number of finite noncyclic simple groups whose maximal order prime divisor is the n-th prime 0

%I

%S 0,0,3,15,10,27,18,15,14,8,28,13,17,22,10,10,3,27,11,6,34,14,9,9,6,5,

%T 14,3,12,16,24,7,12,14,4,11,17,7,7,11,4,25,9,15,3,16,20,5,3,14,11,5,

%U 25,9,51,11,4,13,6,5,13,19,16,3,17,15,32,18,3,6,10,9,10,16,5,7,9,5,11,14,3

%N Number of finite noncyclic simple groups whose maximal order prime divisor is the n-th prime

%H A. V. Zavarnitsine, <a href="http://arxiv.org/abs/0810.0568v1">Finite simple groups with narrow prime spectrum</a> arXiv:081.0568 and Sib. Elec. Math. Rep. 6 (2009) 1-12

%e a(17)=3 because there are precisely three non-Abelian finite simple groups G (viz. PSL(2,59), A_59, A_60) such that the maximal prime divisor of the order of G is the 17th prime (which is 59).

%Y Cf. A001034

%K nonn

%O 1,3

%A Andrei V. Zavarnitsine (zav(AT)math.nsc.ru), Oct 03 2008

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Last modified September 16 06:38 EDT 2019. Contains 327090 sequences. (Running on oeis4.)