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: Wrong Answer)

import java.util.*;

public class Main {
	public static void main(String[] args){
		Scanner sc= new Scanner(System.in);
		int count=0;
		int n=sc.nextInt();
		for(int i=0;i<n;i++){
			int state=0;
			int a=sc.nextInt();
			for(int j=2;j<Math.sqrt(a);j++){
				if(a%j==0){
					state=1;
					break;
				}
			}
			if(state==0){
				count++;
			}
		}
		System.out.println(count);
	}
}