A330583 The orders, with repetition, of the non-cyclic finite simple groups whose orders are 23-smooth.

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.

Links

Hal M. Switkay, Table of n, a(n) for n = 1..102

David A. Madore, Orders of non-abelian simple groups

R. A. Wilson et al., ATLAS of Finite Group Representations - Version 3

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

Cf. A109379, A080683.

Sequence in context: A118671 A109379 A001034 * A330585 A330584 A330586

Adjacent sequences: A330580 A330581 A330582 * A330584 A330585 A330586

Keyword

nonn

Author

Hal M. Switkay, Dec 18 2019

Status

approved