A067470 Smallest n-digit n-th power.

1, 16, 125, 1296, 16807, 117649, 2097152, 16777216, 134217728, 1073741824, 31381059609, 282429536481, 2541865828329, 22876792454961, 205891132094649, 1853020188851841, 16677181699666569, 150094635296999121, 1350851717672992089, 12157665459056928801, 109418989131512359209

Offset: 1

Author

Amarnath Murthy, Feb 09 2002

Keywords

• base
• easy
• full
• nonn
• fini

Comments

For n>21 there is no such number: length(9^22)=21 and length(10^22)=23. - Vladeta Jovovic, Feb 14 2002

Examples

			a(4)= 1296 = 6^4, as 5^4 = 625 has 3 digits.
		

Programs

Mathematica

Table[Ceiling[Surd[10^(n-1),n]]^n,{n,21}] (* Harvey P. Dale, Sep 10 2022 *)

Extensions

More terms from Sascha Kurz, Mar 18 2002