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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

A. V. Zavarnitsine, Finite simple groups with narrow prime spectrum

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: A135546 A138006 A256557 * A232076 A099476 A063628

Adjacent sequences:  A145176 A145177 A145178 * A145180 A145181 A145182

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 16 13:41 EDT 2017. Contains 290623 sequences.