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: Accepted)

#include <stdio.h>

#define N 10000

int main(){

  int n,flag=0,count=0;
  int i,j;
  int a[N];
  int if23=0;
  
  scanf("%d",&n);
  for( i = 0 ; i < n ; i++){
    scanf("%d",&a[i]);
  }

  for(i = 0 ; i < n ; i++){
    for( j = 2 ; j*j <= a[i] ; j++){
      if(a[i]%j == 0){
	flag = 1;
	break;
      }
    }
    if( flag != 1) count++;
    else flag = 0 ;
  }
  printf("%d\n",count);

  return 0;
}