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) {
		Main main = new Main();
		main.run();
	}

	public void run() {
		Scanner sc = new Scanner(System.in);
		int n=sc.nextInt();

		boolean notp[] = new boolean[55556];
		notp[0]=true;
		notp[1]=true;
		for(int i=2; i*i<=notp.length; i++) {
			if(!notp[i]) {
				for(int j=2; i*j<notp.length; j++) {
					notp[i*j]=true;
				}
			}
		}
		ArrayList<Integer> pl = new ArrayList<Integer>();
		for(int i=0; i<notp.length; i++) {
			if(!notp[i]&&i%5==1) {
				pl.add(i);
			}
		}
		for(int i=0; i<n; i++) {
			System.out.print(pl.get(i) + (i==n-1 ? "\n" :" "));
		}
		sc.close();
	}

}