A067444 Smallest n-th power starting with 3.

3, 36, 343, 38416, 32, 34012224, 35831808, 390625, 387420489, 3486784401, 362797056, 3138428376721, 34522712143931, 379749833583241, 32768, 33232930569601, 30491346729331195904, 387420489, 319479999370622926848

Offset

1,1

Comments

Terms from Robert G. Wilson v.

Links

Robert Israel, Table of n, a(n) for n = 1..657

Maple

f:= proc(n) local k, x;
  for k from 0 do
    x:= ceil((3*10^k)^(1/n))^n;
    if x < 4*10^k then return x fi
  od
end proc:
map(f, [$1..30]); # Robert Israel, Feb 12 2025

Mathematica

a = {}; Do[k = 1; While[First[IntegerDigits[k^n]] != 3, k++ ]; a = Append[a, k^n], {n, 1, 25}]; a (* Robert G. Wilson v *)

Crossrefs

Cf. A067442, A067443.

Sequence in context: A220831 A003691 A038146 * A092648 A026121 A055303

Adjacent sequences: A067441 A067442 A067443 * A067445 A067446 A067447

Keyword

base,easy,nonn,look

Author

Amarnath Murthy, Feb 05 2002

Status

approved