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
public class Main{
  static int N = 1000001;
  public void run(java.io.InputStream in, java.io.PrintStream out){
    java.util.Scanner sc = new java.util.Scanner(in);
    int[] p;
    int pn, i, n, sum;

    p = new int[N / 6];
    pn = getprime(p);

    for(;;){
      n = sc.nextInt();
      if(n == 0)break;
      sum = 0;
      for(i = 0;i < n;i++)sum += p[i];
      out.println(sum);
    }

    sc.close();
  }
  public static void main(String[] args){
    (new Main()).run(System.in, System.out);
  }
  private static int getprime(int[] p){
    int i, j, count = 0;
    boolean[] e;
    e = new boolean[N];
    e[0] = true; e[1] = true;
    for(i = 2;i < N;i++)if(!e[i]){
      p[count++] = i;
      for(j = i * 2;j < N;j+=i)e[j] = true;
    }
    return count;
  }
}