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 sieve(n):
    a = range(n)
    a[:2] = None, None
    for i in range(2, n):
        if i ** 2 >= n: break
        if not a[i]: continue
        for i in range(i ** 2, n, i):
            a[i] = None
    return [v for v in a if v]

def partialsum(a):
    b = [0] + a
    for i in range(len(a)):
        b[i + 1] += b[i]
    return b

a = partialsum(sieve(200000))
while True:
    n = int(raw_input())
    if n == 0: break
    print a[n]