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 n, i, j, count;
   int a[10000] = {0};

   scanf("%d", &n);

   for (i = 0; i < n; i++) {
      scanf("%d", &a[i]);
   }

   
   count = n;


   for (i = 0; i < n; i++) {
      for (j = 2; j < a[i]; j++) {
         if (a[i] % j == 0) {
            count--;
            break;
         }
      }
   }


   printf("%d\n", count);

   return 0;
}