a. What is the smallest number not dividing any 10 digitpandigital?
b. Same question, but for the nonzero pandigital numbers.
Source: Rodolfo Kurchan
(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 20170502 13:49:29 