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>
#define N 10000

int main(){
  
  int A[N] ,i ,j ,count ,k ,countp=0;

  scanf("%d",&k);

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

  for(i=0;i<k;i++){
 
    count=0;
    
    for(j=1;j<=A[i];j++){
      if(A[i]%j==0) count++;
      if(count>2) break;
    }
    if(count>2) continue;
    
    if(count == 2) countp++;
  }
  
  printf("%d\n",countp);
  
  return 0;
}