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

isPrime = [True] * 110001
primes = [];
def eratos(n):
    isPrime[0] = isPrime[1] = False
    for i in range(2,int(math.sqrt(n))):
        if isPrime[i]:
            j = 2 * i
            while j <= n:
                isPrime[j] = False
                j = j + i
    for i in range(2,110000):
        if isPrime[i]:
            primes.append(i)
eratos(110000)

while True:
    try:
        p = int(input())
        if p == 0:
            break
        ans = 0
        for i in range(0,p):
            ans += primes[i]
        print(ans)
    except:
        break
