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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 (list; graph; refs; listen; history; text; internal format)
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.
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
Sequence in context: A049545 A127566 A103146 * A154363 A049555 A281295
KEYWORD
nonn,fini,full
AUTHOR
Hal M. Switkay, Nov 07 2019
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)