OpenAI publishes hundreds of results from an internal model on long-open math problems, from the Kakeya maximal conjecture to aperiodic 3D tiling, and why physics, chemistry and biology are next. Elon Musk says Grok bot will route to the best backend model for each task, including Claude Opus 5.5, and what that admission says about the frontier. Viral AI influencers nobody could tell were fake, Mistral Large 4's benchmarks (and the one it wins), plus viewer Q&A on home AI labs, how much RAM you need, and whether to learn machine learning.

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