Problem: Print a sequence a_1, a_2, ..., a_N whose length is N that satisfies the following conditions:

* a_i (1 \leq i \leq N) is a prime number at most 55 555.
* The values of a_1, a_2, ..., a_N are all different.
* In every choice of five different integers from a_1, a_2, ..., a_N, the sum of those integers is a composite number.



If there are multiple such sequences, printing any of them is accepted.

Constraints

* N is an integer between 5 and 55 (inclusive).

Input

Input is given from Standard Input in the following format:


N


Output

Print N numbers a_1, a_2, a_3, ..., a_N in a line, with spaces in between.

Examples

Input

5


Output

3 5 7 11 31


Input

6


Output

2 3 5 7 11 13


Input

8


Output

2 5 7 13 19 37 67 79

Solution (in JAVA):

Solution:
import java.util.*;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		List<Integer> p = new ArrayList<>();
		
		for(int i=11;i<=55555;i+=30){
			boolean ok = true;
			for(int j=2;j*j<=i;j++){
				if(i % j==0){
					ok = false;
					break;
				}
			}
			if(ok)
				p.add(i);
		}
		
		int n = sc.nextInt();
		for(int i=0;i<n;i++){
			System.out.print(p.get(i)+" ");
		}
		
	}

}