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.io.PrintStream;
import java.util.Scanner;

public class Main {
    static final PrintStream so = System.out;
    static final Scanner sc = new Scanner(System.in);
    static final int INF = Integer.MAX_VALUE;

    static int[] mh = {0, 1, 0, -1};
    static int[] mw = {1, 0, -1, 0};
    
    public static void main(String[] args) {
        int N = ni();
        
        int count = 0;
        for (int i = 6; i <= 55555; i+=5) {
            if (isPrime(i)) {
                so.print(i + " ");
                count++;
            }
            if (count == N)
                break;
        }
    } 
    
    static boolean isPrime(int n) {
        for (int i = 2; i <= Math.sqrt(n); i++) {
            if (n % i == 0) {
                return false;
            }
        }
        return true;
    }

    static int ni() {
        return sc.nextInt();
    }
    
    static long nl() {
        return sc.nextLong();
    }

    static char[] nsToChars() {
        return sc.next().toCharArray();
    }
}