OpenAI says one of its general-purpose models disproved a Paul Erdős conjecture standing since 1946, and Sam Altman admits to "complicated feelings." Anthropic agrees to pay xAI $1.25 billion a month — over $40 billion across three years — for compute at Colossus 1, with the price disclosed in SpaceX's S-1. Google runs through a hundred I/O announcements while a thousand DeepMind staff in London vote 98% to unionize over its Pentagon contract. Intuit cuts 17% of its workforce, naming AI as the reason. Three robotics stories on three continents converge in 48 hours, and METR publishes the first Frontier Risk Report after embedding a red-teamer inside Anthropic to play "evil Claude" for three weeks.