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)

from math import sqrt
def isPrime(n):
  if n < 2:
    # 2未満は素数でない
    return False
  if n == 2:
    # 2は素数
    return True
  for p in range(2, int(sqrt(n))+1):
      if n % p == 0:
        # nまでの数で割り切れたら素数ではない
        return False
  # nまでの数で割り切れなかったら素数
  return True
m=int(input())
s=0
for i in range(m):
    l=int(input())
    if isPrime(l)==True:
        s+=1
print(s)