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 java.util.Scanner;

class Main {
    private static int[] calcPrimes(int n) {
        boolean[] table = new boolean[n + 1];
        for (int i = 2; i <= Math.sqrt(n); i++) {
            if (!table[i]) {
                for (int j = i + i; j <= n; j += i) {
                    table[j] = true;
                }
            }
        }
        int counter = 0;
        for (int i = 2; i <= n; i++) {
            if (!table[i]) {
                counter++;
            }
        }
        int[] result = new int[counter];
        int index = 0;
        for (int i = 2; i <= n; i++) {
            if (!table[i]) {
                result[index++] = i;
            }
        }
        return result;
    }

    private static void solve() {
        Scanner scanner = new Scanner(System.in);
        int[] primes = calcPrimes(200000);
        while (true) {
            int n = scanner.nextInt();
            int result = 0;
            if (n == 0) {
                break;
            }
            for (int i = 0; i < n; i++) {
                result += primes[i];
            }
            System.out.println(result);
        }
    }

    public static void main(String... args) {
        solve();
    }
}