|
|
A038676
|
|
Fourth powers ending in a (different) positive fourth power.
|
|
1
|
|
|
81, 2401, 6561, 14641, 28561, 38416, 50625, 83521, 130321, 194481, 234256, 279841, 390625, 531441, 707281, 810000, 923521, 1185921, 1500625, 1679616, 1874161, 2313441, 2825761, 3418801, 4100625, 4879681, 5308416, 5764801, 6765201, 7311616
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
MATHEMATICA
|
ds[n_] := DeleteCases[NestWhileList[FromDigits[Rest[IntegerDigits[#]]] &, n, # > 9 &], 0]; Select[Range[2, 52]^4, Or @@ IntegerQ /@ (Rest[ds[#]]^(1/4)) &] (* Jayanta Basu, Jul 10 2013 *)
fpQ[n_]:=Module[{idn=IntegerDigits[n]}, AnyTrue[Select[Table[Surd[ FromDigits[ Take[ idn, -i]], 4], {i, Length[idn]-1}], #>0&], IntegerQ]]; Select[ Range[60]^4, fpQ] (* The program uses the AnyTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 06 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|