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

1,1

Comments

Terms from Robert G. Wilson v.

Links

Robert Israel, Table of n, a(n) for n = 1..703

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 *)

Prog

(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

Crossrefs

Cf. A067442.

Sequence in context: A396124 A054283 A041723 * A163497 A264118 A054292

Adjacent sequences: A067440 A067441 A067442 * A067444 A067445 A067446

Keyword

base,easy,nonn

Author

Amarnath Murthy, Feb 05 2002

Status

approved