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);
		int n = sc.nextInt();
		sc.close();
		int p[] = new int[55556];
		p[0] = -1;
		p[1] = -1;
		p[2] = 1;
		for(int i = 2; i < p.length; ++i) {
			if(p[i] == 0) {
				p[i] = 1;
				for(int j = 2; j * i < p.length; ++j) {
					p[j * i] = -1;
				}
			}
		}
		int ans[] = new int[n];
		int t = 1;
		for(int i = 0; i < n; ++i) {
			for(int j = t; j < p.length; j += 5) {
				if(p[j] == 1) {
					ans[i] = j;
					t = j + 5;
					break;
				}
			}
		}
		for(int i:ans)
		System.out.print(i + " ");
		System.out.println();
	}

}