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>
int main(void){
	int N;
	int num[10000];
	
	int i,j;
	
	int result = 0;
	
	scanf("%d",&N);
	
	for(i = 0;i < N;i++){
		scanf("%d",&num[i]);
	}
	
	for(i = 0;i < N;i++){
		if(num[i] == 2){
			result++;
		}else{
			for(j = 2;num[i]%j != 0;j++){
				if(j == num[i]-1){
					result++;
				}
			}
		}
	}
	
	printf("%d\n",result);
	
	return 0;
}