Artificial intelligence (AI) tools are revolutionizing mathematical problem-solving, particularly for long-standing challenges posed by Hungarian mathematician Paul Erdős. Amateur mathematicians are leveraging AI chatbots like ChatGPT to tackle these complex yet straightforward problems, demonstrating a significant leap in AI’s mathematical capabilities. Despite many solutions already documented in literature, AI has helped discover new insights, with six Erdős problems solved so far, including one entirely new solution identified by undergraduates using AI tools. This shift could redefine research methods, allowing mathematicians to explore a broader range of problems without extensive prior knowledge. As AI continues to evolve, experts believe it could lead to a more empirical approach in mathematics, enabling large-scale studies and potentially transforming the discipline. However, while progress is evident, the debate remains about AI’s role in generating truly novel solutions versus rediscovering existing ones. This ongoing development is reshaping the landscape of mathematical inquiry.
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