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.stream.*;

class Main{
	public static void main(String[] A){
		System.out.println(
				IntStream.rangeClosed(2,55555)
						.filter(o->o%5==1&&IntStream.range(2,o).noneMatch(p->o%p==0))
						.limit(new java.util.Scanner(System.in).nextInt())
						.mapToObj(String::valueOf)
						.collect(Collectors.joining(" "))
						);
	}
}