陶哲轩用GPT-5解决数学难题：仅29行Python代码

Core Insights - The article highlights how AI, specifically GPT-5, has significantly aided mathematician Terence Tao in solving complex mathematical problems, reducing the time and effort required for manual calculations and coding [1][2][3]. Group 1: AI's Role in Mathematics - Terence Tao expressed that without AI assistance, completing similar tasks would take several hours, primarily due to manual coding and debugging [1]. - Tao utilized GPT-5 to tackle a problem on MathOverflow regarding the relationship between the least common multiple sequence and highly abundant numbers, which required extensive numerical searches [7][10]. - The AI's ability to assist in this mathematical inquiry marks a new era of collaboration between humans and machines in exploring complex problems [5][29]. Group 2: Problem-Solving Process - Initially, Tao attempted to have GPT-5 generate a Python program to search for counterexample parameters but faced issues with long execution times and improper initial parameters [19][20]. - He then shifted to a step-by-step dialogue with GPT-5, breaking down the larger problem into smaller, manageable parts, which ultimately led to the successful generation of the required parameters [21][22]. - The final solution involved a concise 29-line Python script generated by GPT-5, which Tao used for independent verification, confirming the results aligned with his heuristic predictions [23][24]. Group 3: Broader Implications of AI in Research - This instance is not the first time Tao has employed AI for mathematical problem-solving; he has previously used AI for various projects, demonstrating its potential as a mediator in mathematical proofs [27][28]. - The article suggests that while AI may not achieve accolades like the Fields Medal in the short term, it can significantly enhance the efficiency and effectiveness of mathematical research [28][29].