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
n=int(input())
A=[0]*n
cnt=0
for i in range(0,n):
    A[i]=int(input())
for i in range(0,n):
    if A[i]<2: pass
    elif A[i]==2 or A[i]==3 or A[i]==5 or A[i]==7:
        cnt+=1
    else:
        x=int(math.sqrt(A[i])+1)
        for j in range(2,x):
            if A[i]%j==0:
                break
            else: pass
            if j==x-1:
                cnt+=1
            else: pass
print(cnt)