# The 2 numbers

**Number Theory**Level 3

A teacher says: I'm thinking of two natural numbers greater than 1. Try to guess what they are. The first student knows their product and the other one knows their sum. First: I do not know the sum. Second: I knew that. The sum is less than 14. First: I knew that. However, now I know the numbers. Second: And so do I. What were the numbers?