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 {

	static boolean isprime(int N) {
		if(N <= 1)
			return false;
		else if(N == 2)
			return true;
		for(int i = 2; i <= Math.sqrt(N); i++)
			if(N % i == 0)
				return false;
		return true;
	}
	
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int i = 0, j = 11;
		while(i < N) {
			if(isprime(j) && j % 5 == 1) {
				System.out.print(j + " ");
				i++;
			}
			j+=2;
		}
	}

}