A137003 Numbers k such that k and k^2 use only the digits 1, 2, 5 and 6.
1, 5, 11, 15, 16, 25, 125, 511, 515, 516, 1125, 2261, 5125, 12511, 12515, 25525, 51211, 125125, 5162515, 51626211, 125162515, 5162525125
Offset: 1
Examples
5162525125^2 = 26651665666256265625.
Links
- Jonathan Wellons, Tables of Shared Digits [archived]
Programs
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Mathematica
okQ[n_]:=With[{idn=IntegerDigits[n^2]},And@@Table[MemberQ[{1,2,5,6}, idn[[i]]],{i,Length[idn]}]]; Flatten[Table[Select[ FromDigits/@ Tuples[{1,2,5,6},k],okQ],{k,10}]] (* Harvey P. Dale, Jul 07 2012 *)
Comments