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 JAVA):

Solution:
import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    boolean[] isP = new boolean[55556];
    for(int i = 2; i <= 55555; i++) {
      isP[i] = true;
    }
    for(int i = 2; i <= 55555; i++) {
      if(isP[i]) {
        for(int j = (2 * i); j <= 55555; j += i) {
          isP[j] = false;
        }
      }
    }
    ArrayList<Integer> list1 = new ArrayList<Integer>();
    ArrayList<Integer> list2 = new ArrayList<Integer>();
    ArrayList<Integer> list3 = new ArrayList<Integer>();
    ArrayList<Integer> list4 = new ArrayList<Integer>();
    for(int i = 2; i <= 55555; i++) {
      if(isP[i]) {
        if((i % 5) == 1) list1.add(i);
        if((i % 5) == 2) list2.add(i);
        if((i % 5) == 3) list3.add(i);
        if((i % 5) == 4) list4.add(i);
      }
    }
    ArrayList<Integer> ans = new ArrayList<Integer>();
    if(list1.size() >= n) {
      for(int i = 0; i < n; i++) { 
        ans.add(list1.get(i));
      }
    } else if(list2.size() >= n) {
      for(int i = 0; i < n; i++) { 
        ans.add(list2.get(i));
      }
    } else if(list3.size() >= n) {
      for(int i = 0; i < n; i++) { 
        ans.add(list3.get(i));
      }
    } else {
      for(int i = 0; i < n; i++) { 
        ans.add(list4.get(i));
      }
    }
    for(int i = 0; i < n; i++) { 
      System.out.println(ans.get(i));
    }
  }
}