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;
int JC(int k)
{  int m=sqrt(k);
   for(int i=2;i<=m;i++)
   {
     if(k%i==0)  return 0;
   } 
   return 1;
}
int main()
{  int n,k=11;
   cin>>n;
   while(n!=0)
   {
     if(JC(k)==1)
	 {
	   cout<<k<<' ';
	   n--;  
	 }  
	 k+=10;
   }
   return 0;
}