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);
		  int M = 55555;
		  int N = sc.nextInt();
		  sc.close();
		  int[] prime = new int[M + 1];
		  prime[0] = 1;
		  prime[1] = 1;
		  for(int i = 2; i <= Math.sqrt(M); i++) {
			  if(prime[i] == 0) {
				  int j = i + i;
				  while(j <= M) {
					  prime[j] = 1;
					  j += i;
				  }
			  }
		  }
	      
		  String answer = "";
		  int count = N;
		  
		  for(int i = 2; i <= M; i++) {
			  if(prime[i] == 0 && i % 5 == 1) {
				  answer += (i + " ");
				  count--;
			  }
			  if(count == 0) {
				  break;
			  }
		  }
		  
	    	  System.out.println(answer);  
	      System.exit(0);
	    }
}