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.Scanner;
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		StringBuffer buf = new StringBuffer();
		int[] p = {2,11,31,41,61,71,101,131,151,181,191,211,251,271,311,331,401,421,431,461,491,521,541,571,601,631,641,661,691,701,751,761,811,821,881,911,941,971,991,1021,1031,1051,1061,1091,1151,1171,1181,1201,1231,1361,1381,1451,1571,1831,2311,2711,2851,2791};
		int N =sc.nextInt();
		String ans="";
		if(N%2==0) {
			for(int i = 0;i<N;i++) {
				buf.append(p[i]);
				buf.append(" ");
			}
		}else {
			for(int i = 1;i<N+1;i++) {
				buf.append(p[i]);
				buf.append(" ");
			}
		}
		ans = buf.toString();
		System.out.println(ans);
		sc.close();
	}
}