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N & n (Posted on 2014-01-27) Difficulty: 2 of 5
N is a m-th power of an integer.
It consists of n distinct digits, averaging n.

Find n,m and N, using your head + pen and paper only.

Check, whether there exist additional solutions (computer allowed).

Clearly, n>1; m>1 - to exclude trivial cases.

No Solution Yet Submitted by Ady TZIDON    
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re: Looking at my wall | Comment 4 of 7 |
(In reply to Looking at my wall by Jer)

144, 225, 441 and 900 have repeated digits, while the puzzle requires distinct digits.
  Posted by Charlie on 2014-01-27 13:36:49

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