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 main(){
int n,i,j,array[N],count = 0,count1 = 0;

scanf("%d\n",&n);

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

for(i = 0;i < n;i++){
for(j = 2;j <= array[i];j++){
  if(array[i] % j == 0)
  count1++;
}
if(count1 == 1)
count++;
count1 = 0;
}

printf("%d\n",count);
  return 0;
}