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 i;
	int n; //入力された自然数
	int counter = 0;

	n = 2;
	n++;

	for ( ; 2 <= n <= 10000000; n+=2) {
		for (i = 3; i < n; i+=2) {
			if (n % i == 0)
				break;

		}
		if (n == i)
			counter++;
	}
		printf("%d\n", counter);
	
	
	return(0);

}