How many prime numbers are there in the given list?

PrimeNumber_list.py

'''Prime number Distinguisher and Counter

In given list, how many prime numbers are there?

Given list = [ 2, 4, 8, 9, 11, 12, 13, 15, 17, 19, 22, 23, 25, 29]
'''
list = [2, 4, 8, 9, 11, 12, 13, 15, 17, 19, 22, 23, 25, 29]

#1. Let's distinguish what prime numbers do we have
prime_list = []
for n in list:
    if n == 1:
        prime_list.append(n)
    else:
        num = 0
        #make the range narrower
        for k in range(1, n//2+1):
            if n % k ==0:
                num +=1
        #Since the prime number can only be divided by 1 and itsef, Since we excluded itself by narrowing the range before,
        if num <=1:
            prime_list.append(n)

#2. Counting how many prime numbers do we have and print the outcome
print("There are", len(prime_list), "prime numbers in the given list!")