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<iostream>
using namespace std;
bool prime(int num){
	if(num==1) return false;
	for(int i=2;i*i<=num;i++)
		if(num%i==0)
			return false;
	return true;
}
int main(){
	int n,i=11;
	cin>>n;
	while(n){
		while(prime(i)==false)
			i+=10;
		cout<<i<<' ';
		i+=10;
		n--;
	}
	return 0;
}