Two people, named S and P, are talking about two numbers x and y. (note: x and y are both integers greater than or equal to 2). S knows their sum (x+y), while P knows their product (xy); however, initially NEITHER knows x and y. S: Hey P! I don't know what the numbers are. P: I'm not surprised. I KNEW you didn't know. However, I too don't know. S: You don't? Really! Then I know what the numbers are! What are the two numbers? (communicated by Kathryn Sievers)