login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

The prime divisors of the orders of the sporadic finite simple groups.
0

%I #5 Jun 14 2024 22:31:10

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,59,67,71

%N The prime divisors of the orders of the sporadic finite simple groups.

%C This list is complete according to the classification theorem for finite simple groups.

%C This list includes all primes < 72 except 53 and 61, which do not divide the order of any sporadic finite simple group.

%C All entries on this list divide the order of the Monster, except 37, 43, and 67.

%D 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].

%H R. A. Wilson et al., ATLAS of Finite Group Representations, version 3, <a href="http://brauer.maths.qmul.ac.uk/Atlas/v3/spor/">Sporadic groups</a>

%e The first term is necessarily 2, by the Feit-Thompson theorem.

%Y Cf. A001228, A005180, A174670.

%K nonn,fini,full

%O 1,1

%A _Hal M. Switkay_, Nov 07 2019