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)

int main(){
  int x,cnt=0;

  while(scanf("%d",&x)!=0){
    if(isprime(x)==1){
      cnt++;
    }
  }

  printf("%d\n",cnt);

  return 0;
}


int isprime(int x){
  int i;

  //2 is prime number
  if(x==2) return 1;

  //odd-numbers is not prime number;
  if(x<2 || (x%2)==0) return 0;

  i = 3;
  while(i<=sqrt(x)){
    if((x%i)==0) return 0;

    i = i + 2;
  }

  return 1;
}