Present Perfect / Present Perfect Progressive

Hi Dany,
Obviously, you have given no context with these sentences.
I can imagine some unusual contexts that would result in less common meanings.

However, in more usual contexts, both of these sentences mean that the speaker began living there in 2001 and still lives there.
By using the progressive or continuous tense, #2 emphasises the length of the time the speaker has been living there.

That's a short answer, but I hope it helps you.
Clive

Hi again, Dany,
No, it depends on what you want me to understand. Here is a longer answer.
If you want to stress to me the length of the activity, use Present Perfect Progressive (PPP). If you don't want to, use Present Perfect Simple (PPS).
Also, the PPP is not used for activities that ended a long time ago, but instead for activities that have only recently finished or are still continuing now.

For example:
Sorry I'm late, I've been doing my homework.
compared to
I've done my homework, have you done yours?

I have visited China, have you? (I visited it in 1975)

So, if 3 years in Hanau since 1971 seems like a long time to you, use PPP. If not, use PPS.

I'm just trying to explain the basic principle to you. I hope you can read the details in your grammar book.

What do you think?
Clive