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: Time Limit Exceeded)

def main():
    N = int(input())
    print(IsPrime(N))

def IsPrime(N):
    count = 0
    for i in range(N):
        inputNum = int(input())
        if(inputNum == 2):
            count += 1
            continue
        elif(inputNum % 2 == 0):
            continue

        flag = 0
        for j in range(3, int(inputNum/2), 2):
            if(inputNum % j == 0):
                flag = 1
                break
            else:
                continue
        if(flag == 0):
            count += 1
    
    return count

if __name__ == '__main__':
    main()