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AI-led solutions of Erdős problems spark debate over the future of mathematics – Physics World

Physics World·Amy Searle·4 days ago
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Courtesy: iStock/iMrSquid News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20 th -century mathematician Paul Erdős – has created an amalgamation of uproar and interest amongst mathematicians. The past month alone has seen two significant LLM-generated solutions. The first relates to prime sets, a generalization of prime numbers, and was solved after Liam Price, an amateur mathematician from the US, fed the problem statement into GPT-5.4 Pro without other information. The second came last week when the company behind ChatGPT, OpenAI, announced that it had used artificial intelligence to disprove Erdős’ planar unit distance conjecture. LLMs have solved Erdős problems before, but the one Price chose wasn’t just any Erdős problem. It was one that human mathematicians had worked on for 60 years without success. The nature of the solution was also unusual.…

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