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: Accepted)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main{
	public static int count;

	public static void main(String[] args) throws NumberFormatException, IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		for(int i = 0;i < n; i++){
			int num = Integer.parseInt(br.readLine());
			solve(num);
		}

		System.out.println(count);

	}

	public static void solve(int num){
		if(num == 1){
			return;
		}
		else if(num == 2){
			count++;
			return;
		}
		else if(num % 2 == 0){
			return;
		}
		else{
			for(int i = 3;i <= Math.sqrt(num); i +=2){
				if(num % i == 0){
					return;
				}
			}
		}
		count++;
	}

}