Done! Well, the first suggestion you made anyway :-)

https://github.com/andyk/recursive_llm/blob/main/run_recursi...

    def recursively_prompt_llm(prompt, n=1):
        if prompt.startswith("You are a recursive function"):
            prompt = openai.Completion.create(
                model="text-davinci-003",
                prompt=prompt,
                temperature=0,
                max_tokens=2048,
            )["choices"][0]["text"].strip()
            print(f"response #{n}: {prompt}\n")
            recursively_prompt_llm(prompt, n + 1)

    recursively_prompt_llm(sys.stdin.readline())