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 is not 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?

Input

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.

Output

Print YES, if m is the next prime number after n, or NO otherwise.

Examples

Input

3 5


Output

YES

Input

7 11


Output

YES

Input

7 9


Output

NO
import java.util.*;
import java.io.*;

public class Panoramix
{
    public static void main(String[] args)
    {
        Kattio io = new Kattio(System.in);

        boolean[] composite = new boolean[500];

        for (int i = 2; i < composite.length; i++)
            if (! composite[i])
                for (int j = 2*i; j < composite.length; j += i)
                    composite[j] = true;
        
        
        int n = io.getInt();
        int m = io.getInt();

        lol:
        for (int j = n+1; j < composite.length; j++)
        {
            if (! composite[j])
            {
                if (j == m)
                    io.println("YES");
                else
                    io.println("NO");

                break lol;
            }
        }
        
        io.flush();
    }
}


class Kattio extends PrintWriter {
    public Kattio(InputStream i) {
	super(new BufferedOutputStream(System.out));
	r = new BufferedReader(new InputStreamReader(i));
    }
    public Kattio(InputStream i, OutputStream o) {
	super(new BufferedOutputStream(o));
	r = new BufferedReader(new InputStreamReader(i));
    }

    public boolean hasMoreTokens() {
	return peekToken() != null;
    }

    public int getInt() {
	return Integer.parseInt(nextToken());
    }

    public double getDouble() { 
	return Double.parseDouble(nextToken());
    }

    public long getLong() {
	return Long.parseLong(nextToken());
    }

    public String getWord() {
	return nextToken();
    }



    private BufferedReader r;
    private String line;
    private StringTokenizer st;
    private String token;

    private String peekToken() {
	if (token == null) 
	    try {
		while (st == null || !st.hasMoreTokens()) {
		    line = r.readLine();
		    if (line == null) return null;
		    st = new StringTokenizer(line);
		}
		token = st.nextToken();
	    } catch (IOException e) { }
	return token;
    }

    private String nextToken() {
	String ans = peekToken();
	token = null;
	return ans;
    }
}
