## Round 3: Problem 2

A set of distinct positive integers is called “sweet” if it has the property that, for every 3 distinct elements—a,b and c—of the set, a+b+c is always prime. What is the largest size a “sweet” set can have?

Submissions for round 3 are due by Sunday, April 12 at 11:59 p.m. Solution will be posted (if we solve it) immediately after submissions are over.

## Leave a Reply