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();
		int idx = 0;
		int number = 11;
		StringBuilder sb = new StringBuilder();
		while (idx < n) {
		    if (isPrime(number)) {
		        if (idx != 0) {
		            sb.append(" ");
		        }
		        sb.append(number);
		        idx++;
		    }
		    number += 10;
		}
	    System.out.println(sb);
   }
   
   static boolean isPrime(int x) {
       for (int i = 2; i <= Math.sqrt(x); i++) {
           if (x % i == 0) {
               return false;
           }
       }
       return true;
   }
}