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

public class Main {
	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		int number;
		short numberOfTimes, count = 0;
		numberOfTimes = Short.parseShort(in.readLine());
		for (int i = 0; i < numberOfTimes; i++) {
			number = Integer.parseInt(in.readLine());
			if (number == 1) {
				break;
			} else {
				for (int x = 2; x <= number; x++) {
					if (number % x == 0) {
						if (number != x) {
							break;
						} else if (number == x) {
							count++;
						}
					}
				}
			}
		}
		System.out.println(count);
	}
}