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();
        int wantUpper = 55555;
        int furui[] = new int[wantUpper + 1];

        for (int i = 2; i <= wantUpper; i++) {
            furui[i] = i;//篩に2~nまでの値を入れる
        }
        for (int i = 2; i <= Math.sqrt(wantUpper); i++) {
            for (int j = i + i; j <= wantUpper; j += i) {//iの倍数は篩落とす
                furui[j] = 0;
            }
        }
        int count = 0;
        for(int i = 2; i <= 55555 && count < n; i++) {
            if(furui[i]==i && i % 10 == 1) {
                System.out.print(i+" ");
                count++;
            }
        }
    }
}