A137468 Fifth powers whose digits are all odd.

1, 759375, 39135393

Offset

1,2

Comments

This is to fifth powers as A014261 is to first powers and as A030100 is to cubes.

There may be no further terms. - Robert G. Wilson v, Apr 21 2008

The 4th entry is larger than 6617205^5 (has at least 35 digits) if it exists. - R. J. Mathar, Apr 29 2008

a(4), if it exists, exceeds 85564000000^5 (has at least 55 digits). - Sean A. Irvine, Mar 18 2010

a(4) > 10^57, if it exists. - Giovanni Resta, Mar 14 2020

Links

Table of n, a(n) for n=1..3.

Formula

A014261 INTERSECTION A000584.

Example

759375 = 15^5 and 39135393 = 33^5.

Mathematica

fQ[n_] := Union@ Join[{1, 3, 5, 7, 9}, IntegerDigits@ n] == {1, 3, 5, 7, 9}; lst = {}; Do[ If[ fQ[(2 n - 1)^5], AppendTo[lst, (2 n - 1)^5]], {n, 2^29}]; lst (* Robert G. Wilson v, Apr 21 2008 *)

Crossrefs

Cf. A000584, A014261, A030100.

Sequence in context: A172837 A172885 A306959 * A183825 A254074 A014889

Adjacent sequences: A137465 A137466 A137467 * A137469 A137470 A137471

Keyword

nonn,base,bref,more

Author

Jonathan Vos Post, Apr 19 2008

Status

approved