ChatGPT 5.5 Pro、博士号レベルの数学研究を自律的に実行
フィールズ賞受賞者のTimothy Gowersは、OpenAIのChatGPT 5.5 Proが2時間以内に未解決の整数論問題を解き、人間の介入なしに数学的限界を改善する独自の証明を生成したと報告している。
fields medalist timothy gowers used openai's chatgpt 5.5 pro to tackle open problems in number theory, with the model producing complete, verified scientific papers in under two hours without any mathematical guidance. in one instance, the model solved a problem in 17 minutes by swapping a standard proof component for a more efficient variant, improving an exponential bound to a quadratic one. when challenged with a harder problem, the model escalated its reasoning over roughly 40 minutes to achieve a polynomial bound, a result mit researcher isaac rajagopal described as the sort of idea a human would be proud to find after weeks of work. the model autonomously formatted the results into latex preprints, marking a significant milestone in ai's capability to perform high-level, novel mathematical research.