Core Insights - The Erdos1026 problem, which had puzzled mathematicians for 50 years, was solved in just 48 hours with the assistance of AI, marking a significant breakthrough in mathematical research collaboration [1][4][25] Group 1: Problem Background - The Erdos1026 problem was introduced by the legendary mathematician Paul Erdős in 1975 and remained unsolved until December 2025 [5] - The problem involves determining the maximum possible sum of all monotonic subsequences from a given set of distinct real numbers [7] Group 2: AI's Role in the Solution - AI played a crucial role in generating new mathematical insights rather than merely searching existing literature, which would have taken weeks or months using traditional methods [4][25] - The AI system Aristotle, developed by Harmonic, was instrumental in the proof process, demonstrating the potential of AI in mathematical research [4] Group 3: Collaborative Efforts - A diverse team of mathematicians utilized AI tools to collaborate effectively, leading to the rapid resolution of the problem [25] - The collaboration was facilitated by a balanced AI policy on the Erdős problem website, encouraging transparency in AI usage [25] Group 4: Mathematical Insights and Findings - The solution involved deriving a clean formula for the function c(n), which represents the proportion of coins Bob can guarantee to take, based on Alice's distribution of coins [17] - The findings also connected the problem to classical square packing issues, revealing deeper mathematical relationships [21][22]