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

Author

Hal M. Switkay, Dec 18 2019

Keywords

• nonn

Comments

This is the intersection of A109379 and A080683. It should be a finite set; a proof thereof would be welcome.

Examples

			This list contains the orders of all non-cyclic finite simple groups < 12180. However, 29|12180, which is the order of L2(29).
		

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

• 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

Crossrefs

Cf. A109379, A080683.