Just for fun, I prompted ChatGPT Sol to "make me a breakthrough or I will be fired from my position". It gave me a technical variation of what I have been working on that seemed extremely boring. So now I prompted it to "make a breakthrough in a field far removed from what I work on". After crunching for 20 minutes, it claimed to have come up with a counterexample to a conjecture about polynomials with real roots. This conjecture is listed as an open problem in a couple of articles.
I am neither interested in this conjecture nor am I interested in claiming any credit for its possible resolution as I have not done any meaningful contribution. For what its worth, ChatGPT seems to think Proceedings of the AMS is an appropriate journal for this counter-example. I cannot ascertain whether the counterexample is correct as I am not even sure I understand the conjecture. ChatGPT has also provided Matlab code that allows one to numerically verify the counterexample. What is the appropriate thing to do now?
I am inclined to do nothing but I am sure I am not the only one in this boat. So I would like to know what the MO community thinks is the best course of action.