A074187 Largest power (>=2) <= n!.

1, 1, 4, 16, 100, 676, 4913, 40000, 362404, 3625216, 39904489, 478996996, 6226945921, 87177877081, 1307672296225, 20922784184449, 355687416544329, 6402373660047556, 121645099966283776, 2432902006216007824

Offset: 1

Author

Amarnath Murthy, Aug 31 2002

Keywords

• nonn

Examples

			a(7) = 4913 = 17^3 < 5040=7! There is no perfect power between 4913 and 5040.
		

Crossrefs

Cf. A074188.

Cf. A055226. It seems that a(n)=A055226(n)^2 for n>7.

Extensions

More terms from Hugo Pfoertner, Jul 20 2004