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) {
        int[] a;
        int n;
        int sum = 0, count = 0;
        int aini = 7;

        Scanner sc = new Scanner(System.in);
        n = sc.nextInt();
        a = new int[n];

        a[0] = aini;

        for (int i = 1; i < a.length; i++) {
            a[i] = a[i-1] + 5;
            for (int j = 2; j < a[i]; j++) {
                if (a[i] % j == 0) {
                    a[i] += 5;
                    j = 2;
                }
            }
        }

        for (int x: a) {
            System.out.print(x + " ");
            sum += x;
        }
        System.out.println();

    }
}