Alan and Bob are trying to figure out two numbers. They know that both numbers are integers between 1 and 100 (but not 1 or 100). Alan knows the product of the numbers, and Bob knows the sum. Their conversation goes as follows:

Alan: I can't tell what the two numbers are.
Bob: I knew you couldn't.
Alan: Ok, now I know the numbers.
Bob: Now I know them, too.

What are the two numbers?

Now I'm confused.

You are the one that brought up the possibility that because the conjecture is unproved, there might be an even number which was not the sum of two primes, but now you say that for the given range it has been shown to be true. Then what was the point of the argument?

Posted by TomM on 2002-10-16 07:46:04