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
def mark(s, x):
    for i in range(x + x, len(s), x):
        s[i] = False

def sieve(n):
    s = [True] * n
    for x in range(2, int(n**0.5) + 1):
        if s[x]: mark(s, x)
    return [i for i in range(0,n) if s[i] and i > 1]

n = []
while True:
    tmp = int(input())
    if tmp == 0:
        break
    n.append(tmp)
m = max(n)
p = sieve(500000)

for i in range(len(n)):
    sum = 0
    if n[i] == 1:
        print(2)
    else:
        for j in range(n[i]):
            sum += p[j]
        print(sum)