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[] prime = new boolean[55_556];
        Arrays.fill(prime, true);
        prime[0] = false;
        prime[1] = false;
        for (int i = 0; i < prime.length; i++) {
        	if (prime[i]) {
        		for (int j = i+i; j < prime.length; j += i) {
        			prime[j] = false;
        		}
        	}
        }
        
        List<Integer> list = new ArrayList<>();
        for (int i = 6; i < prime.length; i++) {
        	if (prime[i] && i % 5 == 1) {
        		list.add(i);
        	}
        	
        	if (N <= list.size()) {
        		break;
        	}
        }
        
        list.stream().forEach(System.out::println);
    }
}