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 isPrime(x):
    if x == 2:
        return True
    if x < 2 or x % 2 == 0:
        return False
    i, root_x = 3, int(pow(x, 0.5))
    while i <= root_x:
        if x % i == 0:
            return False
        i += 2
    return True

primes = [2]
for i in range(3, 104730):
    if isPrime(i):
        primes.append(primes[-1]+i)
while True:
    n = int(input())
    if n == 0:
        break
    print(primes[n-1])