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) {
        Scanner sc = new Scanner(System.in);
        int[] nums=new int[55];
        int primes=0;
        boolean tmp;
        int num=-7;
        flag:while(primes<55){
            num+=10;
            for(int i=2;i<Math.sqrt(num);i++){
                if(num%i==0)continue flag;
            }
            nums[primes]=num;
            primes++;
        }
        int n=sc.nextInt();
        for(int i=0;i<n;i++)System.out.print(nums[i]+" ");

    }
}