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: Accepted)

#include <stdio.h>
#include <math.h>
int judge(int a);
int main(){

  int i,count=0,a,j,gg=0,n[10000];
  scanf("%d",&a);
  
  for(i=0;i<a;i++){
    scanf("%d",&n[i]);
    count+=judge(n[i]);
  }
    
  
  
  
  printf("%d\n",count);
  
  return 0;
}   

int
judge(int n){
  int i;
  if(n==2){
    return 1;
  }
  if(n<2 || n%2==0){
    return 0;
  }
  i=3;
  while(i<=sqrt(n)){
    if(n%i==0){
      return 0;
    }
    
    i=i+2;
  }
  return 1;
}