A box of candies can be equally divided by weight without cutting pieces between three, four or seven people.
Each piece is an integral number of ounces.
What is the least number of pieces of candy the box could contain? The candies may be of different weights.

(In reply to re: About 9 pieces by np_rt)

The way I read it, the "quickie" argument is that P pieces being impossible implies less than P pieces is also impossible, given that the P pieces argument does not rule out pieces of zero weight. 

Posted by Richard on 2004-10-08 20:26:36