A collection of positive integers (not necessarily distinct) is called Kool if the sum of all its elements equals their product.

For example, {2, 2, 2, 1, 1} is a Kool set.
__________________________________

a) Show that there exists a Kool set of n numbers for all n>1

b) Find all Kool sets with sums of 100

c) Find all Kool sets with 100 members.

(In reply to Part 3 Done (I think) by owl)

Your results agree with those found in

http://www-users.mat.uni.torun.pl/~anow/ps-dvi/si-krl-a.ps

 

 

 

Edited on November 16, 2004, 10:10 pm

Posted by Richard on 2004-11-15 21:10:41