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.*;

class Main {
    
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        ArrayList<Integer> p_list = new ArrayList<>();
        boolean[] isntP = new boolean[55556];
        for(int i = 2; i < isntP.length; i++) {
            if(!isntP[i]) {
                p_list.add(i);
                for(int j = i + i; j < isntP.length; j += i) {
                    isntP[j] = true;
                }
            }
        }

        ArrayList<Integer> ans = new ArrayList<>();
        
        for(int i = 0; i < p_list.size(); i++) {
            if(p_list.get(i) % 5 == 1) {
                ans.add(p_list.get(i));
            }
        }

        System.out.print(ans.get(0));
        for(int i = 1; i < n; i++) {
            System.out.print(" " + ans.get(i));
        }
        System.out.println();
    
    }
}