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.util.Scanner;
public class Main {

	public static void main (String [] args) {
		Scanner in = new Scanner(System.in);
		int count = 0;
		while(in.hasNextInt()) {
			int i = in.nextInt();
			
			if(i == 2 || i == 3) {
				count++;
				System.out.println(i);
			}
			
			else {
			
				for(int j = 1; j <= (int) Math.sqrt(i * 1.0); j++) {
					if((i == (6 * j) - 1) || (i == (6 * j) + 1)) {
						count++;
						System.out.println(i);
				}
			
		
			}
		}
		}
		
		System.out.println(count);
	}
}