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: Runtime Error)

#include <stdio.h>
#include <math.h>
#define N 10000

int main(){
  int count=0,n,i,j;
  int array[N];

  scanf("%d",&n);

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

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

  printf("%d\n",n-count);
  return 0;
}