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,i,limit;
	int prime[5000001];
	int count=0;
	for(n=2;n<=100000000;n++){
	limit = (int)sqrt(n);
		for(i=limit;i>=2;i--){
			if(n%i==0)
		break;
	}
	if(i==1)
		prime[count++]=n;
	}
	printf("%d",count);
    return 0;
}