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A330583
The orders, with repetition, of the non-cyclic finite simple groups whose orders are 23-smooth.
2
60, 168, 360, 504, 660, 1092, 2448, 2520, 3420, 4080, 5616, 6048, 6072, 7800, 7920, 9828, 20160, 20160, 25920, 29120, 58800, 62400, 95040, 126000, 175560, 181440, 262080, 443520, 604800, 979200, 1451520, 1814400
OFFSET
1,1
COMMENTS
This is the intersection of A109379 and A080683. It should be a finite set; a proof thereof would be welcome.
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].
EXAMPLE
This list contains the orders of all non-cyclic finite simple groups < 12180. However, 29|12180, which is the order of L2(29).
CROSSREFS
Sequence in context: A118671 A109379 A001034 * A330585 A330584 A330586
KEYWORD
nonn
AUTHOR
Hal M. Switkay, Dec 18 2019
STATUS
approved