A329191 The prime divisors of the orders of the sporadic finite simple groups.

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

Offset: 1

Author

Hal M. Switkay, Nov 07 2019

Keywords

• nonn
• fini
• full

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.

Examples

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

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

Crossrefs

Cf. A001228, A005180, A174670.