#793 – GPT 5.6 Sol solves it's third Erdos Problem – Two primitives gone (twitter.com)

In a groundbreaking achievement for computational mathematics, GPT-5.6 has solved the longstanding Erdős Problem #793, which pertains to the asymptotic behavior of 2-primitive sets. This is the third such problem tackled by the AI model, showcasing its advanced capabilities in generating concise and innovative solutions. The latest construction provided by GPT-5.6 not only resolves the problem but does so with a remarkably elegant approach, improving upon the original methodology developed by Erdős to establish a weaker result. This development is significant for the AI/ML community as it underscores the potential of advanced AI models to contribute to complex mathematical research, pushing the boundaries of both artificial intelligence and theoretical mathematics. GPT-5.6’s ability to deliver such streamlined constructions suggests a new frontier in leveraging AI for solving deep mathematical questions, indicating a shift towards AI serving as an invaluable tool for researchers in the field.