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 data[10000];
  int n, i, j, count;
  
  scanf("%d", &n);
  for (i = 0; i < n; i++){
    scanf("%d", &data[i]);
  }
  
  count = 0;
  for( i = 0; i < n; i++){
    for( j = 2; j <= data[i]; j++){
      if ( j == data[i]){
        count +=1;
      } else if (data[i]%j == 0){
        break;
      }
    }
  }
  printf("%d\n", count);
  return 0;
}