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.*;

//
class Main {
	Scanner sc = new Scanner(System.in);

	public void run() {
		ArrayList<Integer> primes=new ArrayList<Integer>();
		for(int i=2;i<120000;i++){
			boolean isprime=true;
			for(int prime:primes){
				if(i%prime==0){
					isprime=false;
					break;
				}
				if( prime*prime>i){
					break;
				}
			}
			if(isprime){
				primes.add(i);
			}
		}

		while(true){
			int n=sc.nextInt();
			if(n==0)break;

			int sum=0;
			for(int i=0;i<n;i++){
				sum+=primes.get(i);
			}
			ln(sum);
		}
	}

	public static void main(String[] args) {
		new Main().run();
	}

	public static void pr(Object o) {
		System.out.print(o);
	}

	public static void ln(Object o) {
		System.out.println(o);
	}

	public static void ln() {
		System.out.println();
	}
}