Problem:
Prime Numbers

A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.

Write a program which reads a list of N integers and prints the number of prime numbers in the list.

Input

The first line contains an integer N, the number of elements in the list.

N numbers are given in the following lines.

Output

Print the number of prime numbers in the given list.

Constraints

1 ≤ N ≤ 10000

2 ≤ an element of the list ≤ 108

Sample Input 1

5
2
3
4
5
6

Sample Output 1

3

Sample Input 2

11
7
8
9
10
11
12
13
14
15
16
17

Sample Output 2

4

Solution in JAVA (judge verdict: Wrong Answer)

import java.io.File;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		// Scanner sc = new Scanner(new File("test_1.txt"));
		// Scanner sc = new Scanner(new File("test_2.txt"));
		// Scanner sc = new Scanner(new File("in4.txt"));
		int N = sc.nextInt();
		List<Integer> list = new ArrayList<Integer>();
		for (int i = 0; i < N; i++) {
			list.add(sc.nextInt());
		}
		
		int ans = 0;
		for (int n : list) {
			boolean is_prime = true;
			for (int i = 2; i * i < n; i++)
				if (n % i == 0)
					is_prime = false;
			if (is_prime)
				ans++;
		}
		System.out.println(ans);		
		
	}
}