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())
a=[True]*55556
b=[]
a[0]=a[1]=False
p=0
for i in range(2,55556):
	if a[i]:
		b.append(i)
		for j in range(2*i,55556,i):
			a[j]=False
i=cnt=0
ans=[]
while cnt<n:
	if b[i]%5==3:
		ans.append(b[i])
		cnt+=1
	i+=1
print(*ans)