Let p (i) be the i-th prime number from the smallest. For example, 7 is the fourth prime number from the smallest, 2, 3, 5, 7, so p (4) = 7.

Given n, the sum of p (i) from i = 1 to n s

s = p (1) + p (2) + .... + p (n)

Create a program that outputs. For example, when n = 9, s = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100.



Input

Given multiple datasets. Each dataset is given the integer n (n ≤ 10000). When n is 0, it is the last input. The number of datasets does not exceed 50.

Output

For n in each dataset, print s on one line.

Example

Input

2
9
0


Output

5
100
import math
def pri(n):
    l =[True] * n
    l[0] = l[1] = False
    for i in range(2,n):
        if l[i]:
            for j in range(i*2, n, i):
                l[j] = False
    return l
n=105000
s=pri(n)
l=[i for i in range(n) if s[i]]
while True:
    n = int(input())
    if n == 0: break
    print(sum(l[:n]))