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 <cstdio>
bool isprime(int x)
{
    for(int i=2;i*i<=x;i++)
        if(x%i==0)
            return false;
    return true;
}
int main()
{
    int N,cnt;
    scanf("%d",&N);
    cnt=0;
    for(int i=6;cnt<N;i+=5)
        if(isprime(i))
        {
            if(cnt!=N-1)
                printf("%d ",i);
            else printf("%d\n",i);
            cnt++;
        }
    return 0;
}