Can ChatGPT prove math theorems?

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ChatGPT: A milestone in artificial intelligence-based language models

Many readers have doubtless heard of ChatGPT, the latest instance of a language generation tool developed by the technology startup OpenAI. This tool, which is now available for public experimental use, takes as input a request or other statement from the user, then responds. It employs a dialogue format, which makes it possible for ChatGPT to answer followup questions, and even admit its mistakes.

It is clear, even from a cursory examination, that ChatGPT represents a rather dramatic advance in artificial intelligence. Some of the results are rather

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