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>

#define N 10000

int PrimeNumbers(int x)
{

  int j=3;


  if(x == 2) return 1;
  
  if(x<2 || x%2 == 0) return 0;
  

    while(j <= sqrt(x)){
      if(x%j ==0) return 0;
      j += 2;
    }
  return 1;
}

int main()
{

  int i;
  int n,count=0,x; 

  scanf("%d",&n);

  for(i=0;i<n;i++){
    scanf("%d",&x);
    if(PrimeNumbers(x)) count++;
  }
  
  printf("%d\n",count++);
    
    return 0;
}