Forty slips of paper numbered 1 to 40 are placed in a hat. Alice and Bob each draw one number from the hat without replacement, keeping their numbers hidden from each other. Alice says, I cant tell who has the larger number. Then Bob says, I know who has the larger number. Alice says, You do? Is your number prime? Bob replies, Yes. Alice says, In that case, if I multiply your number by 100 and add my number, the result is a perfect square. What is the sum of the two numbers drawn from the hat?