italy tst
Source: Italian IMO Team Selection Test 1996
May 5, 2017
combinatoricsalgebraSets
Problem Statement
4.4. Prove that there exists a set X of 1996 positive integers with the following properties:
(i) the elements of X are pairwise coprime;
(ii) all elements of X and all sums of two or more distinct elements of X are
composite numbers