# Anton's Problem

Once there were 3 friends (Anton, Simon, Paul) chatting to each other in a dining hall.

The following happened:

**Anton:**- I've chosen two natural numbers which are both greater than 1. I'm going to tell Simon the sum and Paul the product of these numbers.

**Anton:**- Now, can you guess the numbers which I have in mind?

**Simon:**- I don't know Anton's numbers.
**Paul:**- I don't know them either.
**Simon:**- Hey, now I know.
**Paul:**- Then I know them too.

**Professor:**- I know Anton's numbers, too!

Now, what are Anton's numbers?