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>
#define N 10000

int PrimeN(int n) {
  if(n == 2) return 1;
  if(n % 2 == 0) return 2;
  int m;
  for(m = n-1; m > 1; m--){
    if(n % m == 0) return 2;
  }
  return 1;
}

int main() {
  int i = 0, n, count = 0, flag, list[N];

  scanf("%d", &n);
  for(i = 0; i < n; i++) {
    scanf("%d", &list[i]);
    if(PrimeN(list[i]) == 1) count++;
  }

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

  return 0;
}