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 C# (judge verdict: Wrong Answer)

using System;
public class Eratosthenes
{
	public static void Main(string[] args)
	{
		int count = int.Parse(Console.ReadLine());
		int sum = 0;//?´???°???????¨?
		
		for (int i = 0; i < count; i++) {	
			//?????????????±????????????????
			int target = int.Parse(Console.ReadLine());
			//????????????
			if (target >= 2 && target % 2 != 0) {
				
				for (int j = 3; j <= target / j; j += 2) {
				
					if (target == 2 || target == j) {//?´???°??§??????
						sum += 1;
						break;
					}
			
					if (target % j == 0) {//?´???°??§?????????
						break;
					}
					if ((j + 2) >= target / j)
 {					//????????????????????§????????????break?????????????????´????????????????????\???
						sum += 1;
						break;
					}
								
				}
			}
				
		}
			
		Console.WriteLine(sum);
	}
}