A super-d number is a positive, decimal (base ten) integer   n   such that   d × nd   has at least   d   consecutive digits   d   where

   2 ≤ d ≤ 9

For instance, 753 is a super-3 number because 3 × 7533 = 1280873331.


Super-d   numbers are also shown on   MathWorld™   as   super-d    or   super-d.



Task

 Write a function/procedure/routine to find super-d numbers.
 For   d=2   through   d=6,   use the routine to show the first   10   super-d numbers.


Extra credit

 Show the first   10   super-7, super-8, and/or super-9 numbers   (optional).


See also

   Wolfram MathWorld - Super-d Number.
   OEIS: A014569 - Super-3 Numbers.


ClearAll[SuperD]
SuperD[d_, m_] := Module[{n, res, num},
  res = {};
  n = 1;
  While[Length[res] < m,
   num = IntegerDigits[d n^d];
   If[MatchQ[num, {___, Repeated[d, {d}], ___}],
    AppendTo[res, n]
    ];
   n++;
   ];
  res
  ]
Scan[Print[SuperD[#, 10]] &, Range[2, 6]]