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();
		
        boolean[] primes = new boolean[55555 + 1];
        Arrays.fill(primes, true);
        for(int i = 2; i * i <= 55555; i++) {
            for(int k = 2; k * i <= 55555; k++) {
            	primes[k * i] = false;
            }
        }
        for(int i = 2, n = 0; i <= 55555 && n < N; i++) {
          	if(primes[i] && i % 5 == 1) {
            	n++;
                System.out.print(i + " ");
            }
        }
    }
}