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.math.BigDecimal;
import java.util.*;

public class Main {

    public static void main(String[] args) {
        final Scanner scanner = new Scanner(System.in);
        solve(scanner);
    }

    static void solve(Scanner scanner) {
        int N = Integer.parseInt(scanner.nextLine());
        StringBuilder sb = new StringBuilder();
        int p = 5;
        while (N > 0) {
            boolean prime = true;
            if (p % 5 == 1) {
                for (int i = 2; i * i <= p; i++) {
                    if (p % i == 0) {
                        prime = false;
                        break;
                    }
                }
                if (prime) {
                    sb.append(p);
                    sb.append(' ');
                    N--;
                }
            }
            p++;
        }
        System.out.println(sb.toString().trim());
    }

}