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>
#include<cstdio>
using namespace std;
int check (int t)
{
	for(int i=2;i*i<=t;i++)
	{
		if(t%i==0)
			return 1;
	}
	return 0;
}
int a[1500];
int main()
{
	int ans=0,i;
	for(i=2;i<11100;i++)
	{
		if(check(i*5+1)==0)
			a[ans++]=i*5+1;
	}
	int n;
	cin>>n;
	for(i=0;i<n-1;i++)
		cout<<a[i]<<" ";
		
	cout<<a[i]<<endl;
	return 0;
}