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();

		int num = 55555;
		ArrayList<Integer> prime = new ArrayList<>();
		prime.add(2);

		boolean isPrime = false;
		for (int i = 5; i <= num; i += 2) {

            for (int j = 2; j * j <= i; j++) {
                if (i % j == 0) {
                    isPrime = false;
                    break;
                }
                isPrime = true;
            }
            if (isPrime) {
            	if(i%5 == 1)
                prime.add(i);
            }
        }

        int ans[] = new int[N];

        for(int n=0;n<N;n++){
        	ans[n] = prime.get(n);
        }


        for(int a : ans){
        	System.out.print(a +" ");
        }
        System.out.println();
	}
}