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.util.*;
import java.math.*;
class Main{
public static void main(String[] args){
Scanner s=new Scanner(System.in);
while(s.hasNext()){
int c=0;
for(int i=s.nextInt();i>0;--i){
BigInteger b=new BigInteger(s.next());
if(b.isProbablePrime(5))++c;
}
System.out.printf("%d\n",c);
}
}
}