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>
int main()
{
  int m[100000],n,x,y;
  int count;

     scanf("%d",&n);
   for(x=0;x<n;x++)
     scanf("%d",&m[x]);
   
  for(x=0;x<n;x++){
    while(1){

    if(m[x]==2){
     count++;
     break;
}

    if(m[x]<2 || m[x]%2==0)
       break;
   
    y=3;
    while(y*y<=m[x]){
    if(m[x]%y==0)
        break;
    
     y+=2;
}

  if(m[x]%y != 0){
    count++;
    break;
  }
 }
}
    printf("%d\n",count);

  return 0;
}