1627: Panoramix's Prediction
Description
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after x is the smallest prime number greater than x. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 isnot the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly x Roman soldiers, where x is a prime number, and next day they beat exactly y Roman soldiers, where y is the next prime number after x, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat n Roman soldiers and it turned out that the number n was prime! Today their victims were a troop of m Romans (m>n). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix?
The first and only input line contains two positive integers − n and m (2≤n<m≤50). It is guaranteed that n is prime.
Pretests contain all the cases with restrictions 2≤n<m≤4.
Print YES, if m is the next prime number after n, or NO otherwise.
3 5
YES
7 11
YES
7 9
NO