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 n,i,j,x,s=0;

  scanf("%d",&n);

  for(i=0; i<n; i++) {
     scanf("%d",&x);
     if (x==2) {
        s=s+1;
     }
     
     for (j=2; j<x;  j++) {
        if (x%j==0)
           break;
        if (x-1==j)
         s=s+1;
     }
  }
  printf("%d\n",s);

  return 0;
}