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;
int n;
bool is_prime(int m) {
  if(m==1)return false;
  for(int i=2;i*i<=m;i++){
    if(m%i==0)return false;
  }
  return true;
}
int main(void){
  cin>>n;
  for(int i=31;i<=55555;i+=5) {
    if(is_prime(i)==true) {
      if(i!=31)cout<<" ";
      cout<<i;
      n--;
    }
    if(n==0)break;
  }
  cout<<endl;
  return 0;
}