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()
{
	int i, j;
	int num;
	int t;
	int flag = 0;
	int count = 0;
	
	scanf("%d", &num);
	
	for(i = 0; i < num; i++)
	{
		scanf("%d", &t);
		
		for(j = 2; j <= t/2; j++)
		{
			if(t % j == 0) flag = 1;
		}
		if(flag == 0 && t != 1) count++;
		flag = 0;
	}
	printf("%d\n", count);
	
	return 0;
}