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 Python3 (judge verdict: Accepted)

import sys
from math import sqrt

def solve():
    n = int(sys.stdin.readline())

    ans = sum(is_prime(int(sys.stdin.readline())) for i in range(n))

    print(ans)

def is_prime(n):
    if n < 2 or (n > 2 and not(n & 1)):
        return False

    lim = int(sqrt(n)) + 1

    for p in range(3, lim, 2):
        if not(n % p):
            return False
            
    return True

if __name__ == '__main__':
    solve()