I have some questions for any willing to consider, though know in advance I am quite ignorant on the general subject. I've been having a surprisingly good time

I have some questions for any willing to consider, though know in advance I am quite ignorant on the general subject. I've been having a surprisingly good time in my 'discussions' with the free online chatgpt, which has a cutoff date of 2022. What really impresses me is the results of persistence on my part when the replies are too canned, which can be astonishing. In one discussion, I asked it to generate random sequences of 4 digits, 0000-9999, until a specific given number occurred. It would, as if pleased with its work, give the number within 10 tries. I suppose this is due to computational limitations that I don't understand. However, when with great effort, I criticized its method and results enough, I got it to double the efforts before it lazily 'found' an occurrence of the given number. It claimed it was doing what i asked. It surely wasn't. But it seemed oblivious. I'm interested to understand this. I'm sure I'll get some contempt fo my ignorance here, but I asked to analyze pi to some unremembered placeholder until it found a Fibonacci sequence. It couldn't. Maybe one doesn't exist. As obvious as this might be to smarter primates here, I don't understand. I was mostly entertaining myself with various off the hat things. What I did realize, is what by my standards, is fierce potential. This has me wanting to, if even possible, acquire my version with, perhaps, the possibility of real time/internet interaction. Is this possible without advanced coding ability? Is it possible at all? What would be a starting point and some helpful pointers along the way. Anyway, it reminded me of my youth, when I had access to a special person or two and would make them dizzy with my torrential questions. Kindof a magic pocket Randall Monroe, with spontaneous schizophrenia. Fun. Edit note: those were but a couple examples of a lot more that I cannot remember. I'm hooked now, though, and need to come out my cave for this, and learn more. I have some obsolete python experience if that might be relevant.