ChatGPT 5.5 Pro 獨立完成博士級數學研究
菲爾茲獎得主 timothy gowers 報告稱,openai 的 chatgpt 5.5 pro 在兩小時內獨立解決了開放數論問題,並在無人類干預的情況下生成了改進數學邊界的原創證明。
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.