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: Wrong Answer)

#include <stdio.h>

 int main(void)
 {
 int i,j,N;
 int c=0; 

for(i=1;i<=10000;i++)
 {
 N=0;
 for(j=1;j<=i;j++)
{
 if(i%j==0) N++;
 }

 if(N==2) { 
 ++c; 
 } 
 }

printf("\n");

 printf("個数: %d\n",c);

return 0;
 }