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: Runtime Error)

import java.util.Scanner;

public class Main {
	
	void run() {
		// 素数の配列
		int[] array = new int[20000000];
		for(int i = 2; i < array.length; i++) {
			if(array[i] != 0) continue;
			array[i] = 1;
			for(int j = 2*i; j < array.length; j += i) {
				array[j] = -1;
			}
		}
//		System.out.println("input");
		// 入力
		Scanner scan = new Scanner(System.in);
		int n = scan.nextInt();
		int count = 0;
		for(int i = 0; i < n; i++) {
			int input = scan.nextInt();
			if(array[input] == 1) count++;
		}
		// 出力
		System.out.println(count);
	}
	
	public static void main(String[] args) {
		new Main().run();
	}
}