A067443 Smallest n-th power starting with 2.

2, 25, 27, 256, 243, 262144, 2187, 256, 262144, 282475249, 2048, 244140625, 2541865828329, 268435456, 205891132094649, 2821109907456, 232630513987207, 262144, 274877906944, 278218429446951548637196401, 2097152, 2384185791015625, 27368747340080916343

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..703

Crossrefs

Cf. A067442.

Programs

Maple

f:= proc(n) local x, y;
  for x from 2 do
    y:= x^n;
    if floor(y/10^ilog10(y)) = 2 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]] != 2, k++ ]; a = Append[a, k^n], {n, 1, 25}]; a (* Robert G. Wilson v *)

Python

def a(n):
  r = 1
  while str(r**n)[0] != '2': r += 1
  return r**n
print([a(n) for n in range(1, 24)]) # Michael S. Branicky, Feb 25 2021