First impressions:
ChatGPT makes mathematical mistakes, but it can be taught in the same session, though the process can be very long.
This was the initial problem :
I would like to find to find list A:= [(n^2+1), .... , (n+1)^2] a list B [(k^2+1), .... , (k+1)^2] where a, i in A and b, j in B, a*b=i*j only and only if a=i, b=j.
ChatGPT could not solve the issue. But, because there is always a but, it could tell me the duplicated items in case of n = 4, k = 5; But, getting the result was extremely painful.
The steps were:
creating pairs from the elements (a,b) for every a in A, b in B. ChatGPT made a mistake, but finally, I was able to tell them how we produced the pairs.
Then I made a mistake; I did not name this list, and when ChatGPT started producing incorrect results, I was not able to refer to the correct list that it had made already...
from this point, I needed to create another list where I did not have the multiplications of the pairs.
Finally, I could explain to it I need the duplicated items:
UPDATES:
Wow, I am completely shocked now, I realized I used the ChatGPT 3.5, so I just changed it to 4. The difference between the two versions is amazing, In less than 3 minutes I got this answer from ChatGPT 4:
The answer is correct! The ChatGPT had been thinking before providing the answers for 30-40 seconds.
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