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.util.Scanner;

public class Main {
	
	public static void  main (String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int ans = N;
		int num = 0;
		int rem = 0;

		for (int i=0; i<N; i++) {
			num = sc.nextInt();
			if (num == 2){
				continue;
			}
			else if (num % 2 ==0){
				ans--;
				continue;
			}
			for (int j=3; j<num/2; j+=2){
				if (num%j==0) {
					ans--;
					break;
				}
			}
		}
		System.out.println(ans);
	}
}