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 Python (judge verdict: Accepted)

def isPrime( x ):
	if 2 == x or 3 == x:
		return True
	if 0 == x&1:
		return False
	i = 3 
	while  i*i <= x:
		if 0 == x%i:
			return False
		i += 1
	return True


n = int( raw_input( ) )
nums = []
while 0 < n:
	nums.append( int( raw_input( ) ) )
	n -= 1
cnt = 0
for num in nums:
	if isPrime( num  ):
		cnt += 1

print( cnt )