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 M 10000

int main()
{
  int a[M];
  int n=0,i,j,x,count=0;

  scanf("%d",&x);
  for(i = 0;i < x;i++){
    scanf("%d",&a[i]);
  }

  for(i = 0;i < x;i++){
    for(j = 2;j < a[i];j++){

      if(a[i] % j == 0) count++;
    }
    if(count == 0) n++;
    count = 0;
  }

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

  return 0;
}