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.*;
import java.lang.*;
import java.math.*;
import java.io.*;

import static java.lang.Math.*;
import static java.util.Arrays.*;

public class Main{

	Scanner sc;

	static final int INF=1<<28;
	static final double EPS=1e-9;

	void run(){
		int[] p=new int[10001];
		int k=1;
		for(int i=1; i<p.length; i++){
			while(!isPrime(++k));
			p[i]=k+p[i-1];
			// println(k+"");
		}

		sc=new Scanner(System.in);
		for(;;){
			int n=sc.nextInt();
			if(n==0)
				break;
			println(p[n]+"");
		}
		sc.close();
	}

	boolean isPrime(int n){
		int m=(int)sqrt(n);
		for(int i=2; i<=m; i++)
			if(n%i==0)
				return false;
		return true;
	}

	void print(String s){
		System.out.print(s);
	}

	void println(String s){
		System.out.println(s);
	}

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