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();
        PriorityQueue<Integer> queue = new PriorityQueue<>();
        boolean f = false;
        for(int i = 3; i<=55555; i=i+2) {
            f = false;
            for(int j = 2; j*j<=i;j++) {
                if(i%j == 0) {
                    f=false;
                    break;
                }else f=true;
            }
            if(f && i%5==1) queue.add(i);
        }
        for(int i = 0; i<n; i++) {
            System.out.println(queue.poll());
        }

    }
}