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Pandigital and square (Posted on 2017-04-15) Difficulty: 3 of 5
There are 87 square numbers that use every digit (base 10, no leading zeroes)) exactly once.

List them.

No Solution Yet Submitted by Ady TZIDON    
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re(2): Pencil and Paper solution (spoiler) | Comment 4 of 6 |
(In reply to re: Pencil and Paper solution (spoiler) by broll)

Interesting question, broll.

One observation:

A necessary condition for a number to be pandigital is that it must = 0 mod 9.  Well, only 1/9 of all integers equal 0 mod 9, but fully 1/3 of all squares equal 0 mod 9.  So I would not be surprised if there were 67 pandigitals in the range.

Maybe the difference between 67 expected and 87 actual is not significant.

  Posted by Steve Herman on 2017-04-16 16:53:29
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