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 math
def isprime(N):
    if N==2:
        return True
    elif N<=1 or N%2==0:
        return False
    l = int(math.sqrt(N))
    for i in range(3,l+1,2):
        if N % i == 0:
            return False
        i += 2
    return True

N = int(input())
ans = 0
for i in range(N):
    ans += int(isprime(int(input())))
print(ans)