刚刚，GPT-5 Pro自证全新数学定理，OpenAI总裁直呼颠覆，大佬们集体转发

Core Insights - The article discusses the groundbreaking achievement of GPT-5 Pro in independently solving a complex mathematical problem, which has significant implications for the future of AI in mathematical research [1][12][13]. Group 1: AI Capabilities - GPT-5 Pro has demonstrated the ability to solve previously unsolved mathematical problems without referencing human methods, indicating a leap in AI capabilities [1][12]. - The model improved the known lower bound from 1/L to 1.5/L in a specific mathematical context, showcasing its advanced reasoning skills [6][12]. - This achievement has sparked discussions among industry leaders about the potential of AI to transform the field of mathematics [13][14]. Group 2: Research Context - The mathematical problem tackled by GPT-5 Pro involves conditions under which the gradient descent method yields a convex function value curve [2][5]. - The original paper provided a range for the step size η, with the unresolved interval being [1/L, 1.75/L], which GPT-5 Pro attempted to address [3][5]. - The authors of the original paper quickly updated their findings, demonstrating the competitive nature of AI and human researchers in mathematical discovery [12][18]. Group 3: Expert Commentary - Sebastien Bubeck, a prominent figure in AI research, expressed excitement over the findings, noting that while AI has not yet surpassed human capabilities, its independent discovery process is promising [12][18]. - OpenAI's president highlighted this achievement as a sign of AI's potential vitality in the mathematical domain [14][15]. - The article emphasizes the ongoing efforts of researchers like Bubeck to understand and enhance AI's intelligence, aiming for advancements towards general artificial intelligence (AGI) [21][22].