Pairs of multiplied prime number--->N

[Yoriz]

On the original code in your first post for the particular error

Error:
TypeError: 'NoneType' object cannot be interpreted as an integer

was because your function prime_eratosthenes had no return
to fix that error you would add return prime_list to the end of it

def prime_eratosthenes(lim):
    ...
    return prime_list

(Note I replace the rest of the code with ... just to show the important part not for you to do this to your code)