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 sys
def prime(m):
    N=range(1,m+2,2)
    r=int(m**.5)
    h=len(N)
    N[0]=0
    for i in range(h):
        x=N[i]
        if x>r: break
        if x and i+x<h: N[i+x:h:x]=[0] * ((h-1-i-x)/x+1)
    N[0]=2
    return filter(None,N)
PRIMES=prime(105000)
while 1:
    n=input()
    if n==0: break
    print sum(PRIMES[:n])