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: Time Limit Exceeded)

#include <stdio.h>
int main(){
  int i,j,n,x[10000],a=0;
  
  scanf("%d", &n);
  
  if(n >= 1 && n <= 100000){
  
      for(i = 0 ; i < n ; i++){
          scanf("%d",&x[i]);
      }
      
      for(i = 0 ; i < n ; i++){
          for(j = 2 ; j < x[i] ; j++){
              if(x[i] % j == 0){
                  a++;
              break;
              }
          }
      }
      
      printf("%d\n",n-a);
      
  }
}