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.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int N = sc.nextInt();

        System.out.println(solve(N));

        sc.close();
    }

    static String solve(int N) {
        int[] result = new int[N];
        int x = 6;
        for (int i = 0; i < result.length; ++i) {
            while (!isPrime(x)) {
                x += 5;
            }

            result[i] = x;
            x += 5;
        }

        return Arrays.stream(result).mapToObj(String::valueOf).collect(Collectors.joining(" "));
    }

    static boolean isPrime(int x) {
        for (int i = 2; i * i <= x; ++i) {
            if (x % i == 0) {
                return false;
            }
        }

        return true;
    }
}