Maxwell Smart (Agent 86) was trying to get a coded message to his girlfriend (Agent 99). He had to type into his shoe phone, her agent number 99 as the sum of two prime numbers. How many different ways could Max do this?
Answer
Just one way. As all prime numbers except 2 are odd, and the sum of any two odd numbers is even, then the sum must contain 2 as one of the numbers since 99 is odd. Therefore, 2 + 97 is the only way.
