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: Accepted)

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

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		int primeCnt = 0;
		for (int i = 0; i < n; i++) {
			if (checkPrimeNumber(Integer.parseInt(br.readLine()))) primeCnt++;
		}
		System.out.println(primeCnt);
	}

	public static boolean checkPrimeNumber(int target) {
		if (target < 2) return false;
		if (target == 2) return true;
		if (target % 2 == 0) return false;

		for (int i = 3; i <= Math.sqrt(target); i++) {
			if (target % i == 0) return false;
		}
		return true;
	}
}