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>
#include <math.h>
int main(void){
    int num, temp, i, j, count = 0;
    
    scanf("%d", &num);
    
    for(i = 0; i < num; i++){
        scanf("%d", &temp);
        for(j = 2; j <= sqrt(temp); j++){
            if(temp % j == 0) break;
        }
        if(j > sqrt(temp) || sqrt(temp) < 2) count++;
    }
    printf("%d\n", count);
    return 0;
}