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.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        StringBuilder sb = new StringBuilder();
        sb.append(2);
        sb.append(" ");
        sb.append(7);
        sb.append(" ");
        int count=3;
        int cur = 17;
        while(count<=N){
            if(isPrime(cur)){
                sb.append(cur);
                sb.append(" ");
                count++;
            }
            cur += 10;
        }
        System.out.print(sb.toString());
    }
    public static boolean isPrime(int t){
        for (int i=2; i <= t/2+1; i++) {
            if (t % i == 0) {
                return false;
            }
        }
        return true;
    }
}