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

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

Table of n, a(n) for n=1..81.

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

Cf. A001034

Sequence in context: A335696 A256557 A337471 * A297897 A232076 A329770

Adjacent sequences: A145176 A145177 A145178 * A145180 A145181 A145182

Keyword

nonn

Author

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

Status

approved