# Tell me something I don't know

**Logic**Level 3

Barry chose two not necessarily distinct integers from 1 to 6 inclusive.

He told Gerry only the sum of these two integers, and Harry only the product.

But Barry let both Gerry and Harry know that the numbers came from 1 to 6 inclusive.

The following conversation occurs:

Gerry: "I don't know the numbers."

Harry: "I don't know the numbers."

Gerry: "I don't know the numbers."

Harry: "I don't know the numbers."

Gerry: "Now I know the numbers!"

What is the product of these two numbers?