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.ArrayList;
import java.util.List;
import java.util.Scanner;
import java.util.StringJoiner;

public class Main {

    public static List<Integer> sieveOfEratosthenes(int n) {
        if (n < 2) {
            return new ArrayList<>();
        }
        boolean[] isPrime = new boolean[n];
        for (int i = 2; i < n; i++) {
            isPrime[i] = true;
        }
        int sqrt = (int) Math.sqrt(n);
        for (int p = 2; p <= sqrt; p++) {
            if (isPrime[p]) {
                for (int i = p * p; i < n; i += p) {
                    isPrime[i] = false;
                }
            }
        }
        List<Integer> ans = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            if (isPrime[i]) {
                ans.add(i);
            }
        }
        return ans;
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        List<Integer> list = sieveOfEratosthenes(55555);
        List<Integer> ans = new ArrayList<>();
        for (int i = 0; i < list.size(); i++) {
            if (ans.size() == n) {
                break;
            }
            if (list.get(i) % 5 == 1) {
                ans.add(list.get(i));
            }
        }
        StringJoiner sj = new StringJoiner(" ");
        for (int i = 0; i < n; i++) {
            sj.add(String.valueOf(ans.get(i)));
        }
        System.out.println(sj);
    }

}