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A137468
Fifth powers whose digits are all odd.
1
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
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
KEYWORD
nonn,base,bref,more
AUTHOR
Jonathan Vos Post, Apr 19 2008
STATUS
approved