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 {
    static Scanner scanner = new Scanner(System.in);

    public static void main(String[]$) {
        int n = scanner.nextInt();
        Set<Integer> use = new HashSet<>();
        Set<Integer> primes = new HashSet<>();
        primes.add(2);
        int num = 1;
        loop: while (use.size() < n) {
            num += 2;
            for (Integer prime : primes) {
                if (num % prime == 0) {
                    continue loop;
                }
            }
            primes.add(num);
            if (num % 5 == 1) {
                use.add(num);
            }
        }

        use.forEach(System.out::println);
    }
}