One good puzzle

[pathankhan salman]

There are 4 mathematicians - Brahma, Sachin, Prashant and Nakul - having lunch in a

hotel. Suddenly, Brahma thinks of 2 integer numbers greater than 1 and says, "The sum

of the numbers is..." and he whispers the sum to Sachin. Then he says, "The product of

the numbers is..." and he whispers the product to Prashant. After that following

conversation takes place :

Sachin : Prashant, I don't think that we know the numbers.

Prashant : Aha!, now I know the numbers.

Sachin : Oh, now I also know the numbers.

Nakul : Now, I also know the numbers.

What are the numbers? Explain your answer.

Pathan Salman Khan | Senior Undergraduate | Computer Science and Engineering | IIT Bombay

[Souvik Dutta]

4,13.