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GPT-5又帮陶哲轩解决了一个难题
量子位· 2025-09-03 07:30
Core Viewpoint - The article discusses how AI, specifically GPT-5, has assisted mathematician Terence Tao in solving a mathematical problem related to the Erdős problems by facilitating semi-automated literature searches and database comparisons [1][4][18]. Group 1: AI's Role in Mathematics - Terence Tao utilized AI combined with databases to tackle complex mathematical problems, demonstrating AI's capability to serve as a "locator" in the problem-solving process [3][11]. - The AI helped generate high-precision decimal representations of sequences related to the Erdős problems, which were then matched with existing sequences in the OEIS database [12][15]. - This approach revealed that previously unsolved problems had already been addressed in existing literature, highlighting AI's role in bridging gaps between different knowledge sources [14][17]. Group 2: Erdős Problems and OEIS Project - The Erdős problems are a collection of unsolved mathematical questions posed by the renowned mathematician Paul Erdős, with many remaining unresolved for decades due to their complexity [6][10]. - The Erdős problems/OEIS linkage project was initiated by Terence Tao and Thomas Bloom to connect the Erdős problems with the OEIS database, aiming to prevent researchers from overlooking existing solutions or duplicating efforts [24][25]. - The project encourages collaboration by allowing researchers to compute integer sequences from the Erdős problems, compare them with OEIS, and document their findings in a GitHub repository [26][27].