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

1,2

Comments

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

Links

Table of n, a(n) for n=1..21.

Example

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

Mathematica

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

Crossrefs

Sequence in context: A264625 A213748 A007787 * A133111 A268998 A253319

Adjacent sequences: A067467 A067468 A067469 * A067471 A067472 A067473

Keyword

base,easy,full,nonn,fini

Author

Amarnath Murthy, Feb 09 2002

Extensions

More terms from Sascha Kurz, Mar 18 2002

Status

approved