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: Accepted)

#include<stdio.h>
int main(){
  int length,data[10000],i,j,flag,count=0;


  //input
  scanf("%d",&length);

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

for(i=0;i<length;i++){
	flag=1;
  for(j=2;j*j<=data[i];j++){
		if(data[i]%j==0){
			flag=0;
			break;
		}
	}
	if(flag)count++;
}

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