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:
n=int(input())

P=[] # 5で割って1余る素数のリスト
for i in range(11,55556,10):
    p=1
    for j in range(2,int(i**0.5)+1):
        if i%j==0 :
            p=0
    if p==1 :
        P.append(i)

#print(P[:100])

s=""
for i in range(n-1):
    s+=str(P[i])+" "
s+=str(P[n-1])

print(s)