According to @gdb and @neelsomani on X, GPT-5.2 Pro has successfully solved Erdős problem #281, a previously unsolved challenge in mathematics, without any prior human solutions. Mathematician Terence Tao described this as 'perhaps the most unambiguous instance' of AI independently solving an open mathematical problem (source: https://x.com/neelsomani/status/2012695714187325745). This achievement demonstrates the rapidly growing practical potential of advanced AI models in theoretical mathematics and scientific research. The use of GPT-5.2 Pro in this context highlights new business opportunities in AI-driven mathematical discovery and automation, as well as future trends in AI-assisted scientific innovation.

According to Lex Fridman (@lexfridman), his in-depth conversation with Joel David Hamkins (@JDHamkins) explores the intersection of artificial intelligence and mathematical logic, focusing on how AI can assist in formal reasoning, theorem discovery, and advancing mathematical research. The discussion highlights practical applications of AI in automating complex logical proofs, streamlining mathematical workflows, and unlocking new opportunities for AI-driven research in mathematics. Business leaders and AI industry professionals can gain actionable insights into the potential of AI-powered tools to transform mathematical problem-solving and foster innovation in academic and enterprise settings. (Source: Lex Fridman, YouTube: youtube.com/watch?v=14OPT6CcsH4, Spotify: open.spotify.com/show/2MAi0BvDc6GTFvKFPXnkCL, Podcast: lexfridman.com/podcast)