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.*;
import java.util.stream.*;

class Main{
	public static void main(String[] args) {
		List<Integer> primes = new ArrayList<>(1<<15);
		LABEL: for(int i = 2; i < 55555; i++) {
			for(int prime : primes) {
				if(prime*prime>i) break;
				if(i%prime==0) continue LABEL;
			}
			primes.add(i);
		}

		Scanner scan = new Scanner(System.in);
		int input = scan.nextInt();

		String ans = primes.stream()
			.filter(num -> num%5==1)
			.limit(input)
			.map(num->num.toString())
			.collect(Collectors.joining(" "));
		System.out.println(ans);
	}
}