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 PYTHON3):

Solution:
from math import *
M=55555
tab=[True]*(M+1)
for i in range(2,int(sqrt(M))):
    j=2
    while i*j<=M:
        tab[i*j]=False
        j+=1

N=int(input())
ans=[]
for i in range(2, M+1):
    if tab[i] and i%5==1:
        ans.append(str(i))
        if len(ans)>=N:
            break
print(" ".join(ans))