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.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();

		boolean[] isPrime = new boolean[555556];
		Arrays.fill(isPrime, true);
		isPrime[0] = false;
		isPrime[1] = false;
		for (int i = 2; i * i < 55555; i++) {
			for (int k = 2; k * i < 555556; k++) {
				isPrime[i * k] = false;
			}
		}

		int count = 0;
		int[] answer = new int[n];
		for (int i = 0; i < 555556; i++) {
			if (i % 5 == 1 && isPrime[i]) {
				answer[count++] = i;
			}
			if (count >= n) break;
		}
		for (int i = 0; i < answer.length; i++) {
			System.out.print(answer[i]);
			System.out.print(" ");
		}
		System.out.println();
	}
}