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.io.*;
import java.awt.geom.*;
import java.math.*;

public class Main {

	static final Scanner in = new Scanner(System.in);
	static final PrintWriter out = new PrintWriter(System.out,false);

	static ArrayList<Integer> ps;

	static boolean solve() {
		int n = in.nextInt();
		if (n == 0) return false;

		long ans = 0;
		for (int i=0; i<n; i++) {
			ans += ps.get(i);
		}
		out.println(ans);

		return true;
	}

	static ArrayList<Integer> createPrimeList(int n) {
		if (n < 2) return null;
		ArrayList<Integer> res = new ArrayList<Integer>();
		BitSet isPrimeBit = createIsPrimeBit(n);
		int p = 1;
		while ((p = isPrimeBit.nextSetBit(p+1)) >= 0) {
			res.add(p);
		}
		return res;
	}

	static BitSet createIsPrimeBit(int n) {
		if (n < 2) return null;
		BitSet res = new BitSet();
		res.set(2,n,true);
		for (int i=2; i*i<n; i=res.nextSetBit(i+1)) {
			for (int j=i+i; j<n; j+=i) res.set(j,false);
		}
		return res;
	}

	public static void main(String[] args) {
		long start = System.currentTimeMillis();

		ps = createPrimeList(10000000);

		while(solve());
		out.flush();

		long end = System.currentTimeMillis();
		//trace(end-start + "ms");
		in.close();
		out.close();
	}

	static void trace(Object... o) { System.out.println(Arrays.deepToString(o));}
}