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 i,j,count=0,num;
  int number[10000];
  int flag;

  scanf("%d", &num);
 
  
  for(i=0;i<num;i++) {
    scanf("%d\n",&number[i]);    
 
  }

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

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