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
(In reply to with computer assistance
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