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.*;
import java.util.ArrayList;

class Main{
    public static void main(String[] args){
        
        Scanner sc = new Scanner(System.in);
        
        int N = sc.nextInt();
        ArrayList<Integer> list = new ArrayList<Integer>();
        
        loop:for(int i=2; i<=55555; i++){
            for(int j=2; j<=Math.sqrt(i)+1; j++){
                if(i%j==0){
                    continue loop;
                }
            }
            if(i%5==1){
                list.add(i);
            }
            if(list.size()==N){
                break loop;
            }
        }

        for(int i=0; i<N-1; i++){
            System.out.println(list.get(i) + " ");
        }
        System.out.println(list.get(N - 1));
    }
}