login
A329191
The prime divisors of the orders of the sporadic finite simple groups.
0
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 59, 67, 71
OFFSET
1,1
COMMENTS
This list is complete according to the classification theorem for finite simple groups.
This list includes all primes < 72 except 53 and 61, which do not divide the order of any sporadic finite simple group.
All entries on this list divide the order of the Monster, except 37, 43, and 67.
REFERENCES
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].
LINKS
R. A. Wilson et al., ATLAS of Finite Group Representations, version 3, Sporadic groups
EXAMPLE
The first term is necessarily 2, by the Feit-Thompson theorem.
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Hal M. Switkay, Nov 07 2019
STATUS
approved