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: Time Limit Exceeded)

import java.util.*;

/**
 * C
 */
public class Main {
    public static void main(String[] args) {
        
        int prime = 0;
        Scanner sc = new Scanner(System.in);

        int n = sc.nextInt();
        int array[] = new int[n];

        for(int i=0; i<n; i++) {
            array[i] = sc.nextInt();
        }

        sc.close();

        for(int num : array) {
            int check = 0;
            for(int j=1; j<=num; j++) {
                if(num%j == 0) {
                    check++;
                }
            }
            if(check == 2) {
                prime++;
            }
        }

        System.out.println(prime);

    }
}