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<math.h>
using namespace std;
int main(){
 int N, pr;
 cin >> N;
 for(int i=11;N>0;i+=10){
  pr=1;
  for(int j=3;j<=sqrt(i);j+=2)
   if(i%j==0){pr=0;break;}
  if(pr){if(i!=11)cout<<' ';cout<<i;N--;}
 }
 return 0;
}