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 <stdlib.h>

int main(){
  int num;
  int i,j;
  int *array;
  int count = 0;

  do{
  scanf("%d",&num);
  }while(num < 1 || num > 10000);

  array = (int *)malloc(sizeof(int)*num);

  count = num;

  for(i = 0;i < num;i++){
    do{
    scanf("%d",&array[i]);
    }while(array[i]<2 || array[i]>100000000);
  }

  for(i = 0;i < num;i++){
    for(j = 2;j < array[i];j++){
      if(array[i] % j == 0){
	count = count - 1;
	break;
      }
    }
  }

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