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 PHP (judge verdict: Time Limit Exceeded)

<?php
	$n = trim(fgets(STDIN));
	$a = array();
	while ($n--) {
		$a[] = trim(fgets(STDIN));
	}
	echo sosu($a) . "\n";

	function sosu($a) {
		$cnt = 0;
		foreach ($a as $v) {
			$flg = false;
			for ($i = 2; $i < $v; $i++) {
				if ($v % $i == 0) {
					$flg = true;
					break;
				}
			}
			if (!$flg) $cnt++;
		}
		return $cnt;
	}