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(void){
  int A[1000];
  int N,i,j,C,x;
  C=0;

  scanf("%d",&N);
  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
    x=0;
    for(j=2;j<=(A[i]/2);j++){
      if(A[i]%j==0)x++;
    }
    if(x==0)C++;
  }
  printf("%d\n",C);
  return 0;
}