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Smallest n-digit n-th power.
2

%I #9 Sep 10 2022 11:46:09

%S 1,16,125,1296,16807,117649,2097152,16777216,134217728,1073741824,

%T 31381059609,282429536481,2541865828329,22876792454961,

%U 205891132094649,1853020188851841,16677181699666569,150094635296999121,1350851717672992089,12157665459056928801,109418989131512359209

%N Smallest n-digit n-th power.

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

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

%t Table[Ceiling[Surd[10^(n-1),n]]^n,{n,21}] (* _Harvey P. Dale_, Sep 10 2022 *)

%K base,easy,full,nonn,fini

%O 1,2

%A _Amarnath Murthy_, Feb 09 2002

%E More terms from _Sascha Kurz_, Mar 18 2002