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 isprime(int p){
	for(int i=2;i*i<=p;++i){
		if(p%i==0)return 0;
	}
	return 1;
}

int n;
int main(){
	ios::sync_with_stdio(0);
	cin>>n;
	for(int i=31;i<=55555;i+=30){
		if(isprime(i)){
			if(i!=31)cout<<" ";
			cout<<i;
			--n;
		}
		if(n==0)break;
	}
	cout<<"\n";
	return 0;
}