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A145179
Number of finite noncyclic simple groups whose maximal order prime divisor is the n-th prime
0
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, 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, 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
OFFSET
1,3
LINKS
A. V. Zavarnitsine, Finite simple groups with narrow prime spectrum arXiv:081.0568 and Sib. Elec. Math. Rep. 6 (2009) 1-12
EXAMPLE
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).
CROSSREFS
Sequence in context: A335696 A256557 A337471 * A297897 A232076 A329770
KEYWORD
nonn
AUTHOR
Andrei V. Zavarnitsine (zav(AT)math.nsc.ru), Oct 03 2008
STATUS
approved