Two Numbers?

There is a one person who have two numbers, he tells sum to the person S and product of those numbers to P.

Now there is this conversion between S and P.

S: I don’t know what are the numbers.

P: I also don’t know what are the numbers.

S: Now i know what are the numbers.

P: Now i also know what are the numbers.

Assuming S and P to be very wise and good in mathematics, What are those two numbers? Note: Numbers are greater than 0.

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