[net.puzzle] S and P puzzle

makaren@alberta.UUCP (11/04/83)

  Here is one that I believe came from Scientific American many years ago.

     There are two mathematicians wgives it to mathematician "P".
     He then instructs both mathematicians to determine both the 
     sum and product of the two integers.
     After considerable thought mathematician "S" says to mathematician "P"
        "There is no way that you can determine the sum"
     Mathematician "P" replies "Then I know the sum"
     Mathematician "S" responds "Then I know the product"

  YOUR PROBLEM: What were the two integers?
  note: We assume that mathematicians do not make mistakes in matters of logic.
   I will post the solution at a later date if nobody solves it.