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 sqrt
lst=[]
def prime(x,lst):
    n=int(sqrt(x))
    for i in range(2,n+1):
        if x%i==0:
            return lst
    if x%5==1:
        lst.append(x)

for i in range(2,55555):
    prime(i,lst)
m=int(input())
y=''
for i in range(m):
    y+=str(lst[i])+' '
print(y)