can we find prime number in a list?

Question

I want a list of n numbers and check each item for primality and log whether the given number is prime or not. Unfortunately my below shown code is working incorrectly and I need help finding out why is it happening.

My code snippet:

l1 = []
num = int(input("Enter a range of numbers :: "))
for i in range(2, num + 1):
    l1.append(i)
for i in range(0, num - 1):
    for j in range(2, num):
        if l1[i] % j == 0:
            print(f'{l1[i]} is not a prime ')
            break
    else:
        print(f'{l1[i]} is a prime number')

Answer 1

The solution is to do the loop that check if the number is prime for

for j in range(2, l1[i]): 

Because here num have nothing to do with the check if it's prime. So the complete code is :

l1 = []
num = int(input("Enter a range of numbers :: "))
for i in range(2, num + 1):
    l1.append(i)

for i in range(0, num - 1):
    for j in range(2, l1[i]):
        if l1[i] % j == 0:
            print(f'{l1[i]} is not a prime ')
            break
    else:
        print(f'{l1[i]} is a prime number')

For more info about algorithm to check if a number is prime, please refer to : this post