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

1,3

Links

Table of n, a(n) for n=1..20.

Example

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.

Sequence in context: A318693 A087296 A065731 * A111883 A370529 A245155

Adjacent sequences: A074184 A074185 A074186 * A074188 A074189 A074190

Keyword

nonn

Author

Amarnath Murthy, Aug 31 2002

Extensions

More terms from Hugo Pfoertner, Jul 20 2004

Status

approved