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The smallest non-conformist (Posted on 2017-05-02) Difficulty: 3 of 5
a. What is the smallest number not dividing any 10 digit-pandigital?
b. Same question, but for the non-zero pandigital numbers.

Source: Rodolfo Kurchan

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts re: with computer assistance Comment 3 of 3 |
(In reply to with computer assistance by Charlie)

I realized right away that 100 would not divide any (and part b is trivial) but I figured there'd be a smaller one though.  In hindsight, there are so many pandigitals that even for some 2 digit prime, say 97, there must be some pandigital number it divides.


I checked powers of two up to 256.  12397568 is the smallest pandigital multiple.  

We could extend the problem by looking for the smallest number that isn't a multiple of 100.


  Posted by Jer on 2017-05-02 13:49:29
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