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>
#include <math.h>

int main(){

  int n,i,j=3,count;

  scanf("%d",&n);

  int A[n];

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

  
  for(i=0 ; i<n; i++){

    if(A[i] == 2){
      count++;
      continue;
    }

    if(A[i] == 1 || A[i]%2 == 0)continue;
    
    while(j <= sqrt(A[i])){
      if(A[i]%j == 0) continue;
	 
      else j = j + 2;

    }
    if(j == 3)count++;
    
  }

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