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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int Nmax=200010;
//ll a[Nmax];
//int* P = new int[N];

int main() {
	int N;
	cin >> N;
	
	int a,c,flag=0,cnt=0;
	for(int i=2;i < 55555;i++){
		flag=0;
		for(int j=2;j < i;j++){
			if(i%j == 0) break;
			if(j==i-1)
				if(i%5==1){
					cout << i << endl;
					cnt++;
				}
		}
		if(cnt==N) break;
	}
	return 0;
}