A067447 Smallest n-th power starting with 6.

6, 64, 64, 625, 6436343, 64, 62748517, 6561, 68719476736, 60466176, 64268410079232, 68719476736, 67108864, 6103515625, 6746640616477458432, 65536, 66249952919459433152512, 68719476736, 609359740010496

Offset: 1

Author

Amarnath Murthy, Feb 05 2002

Keywords

• base
• easy
• nonn

Comments

Terms from Robert G. Wilson v.

Links

• Robert Israel, Table of n, a(n) for n = 1..605

Crossrefs

Cf. A067442, A067443, A067444, A067445, A067446.

Programs

Maple

f:= proc(n) local x, y;
  for x from 2 do
    y:= x^n;
    if floor(y/10^ilog10(y)) = 6 then return x^n fi
  od
end proc:
map(f, [$1..50]); # Robert Israel, Apr 02 2025

Mathematica

a = {}; Do[k = 1; While[First[IntegerDigits[k^n]] != 6, k++ ]; a = Append[a, k^n], {n, 1, 25}]; a (* Robert G. Wilson v *)