AI Summary
5 min readOpenAI Drops Hundreds of Solved Math Problems, HBO Max and Paramount Plus to Merge, and Apple's Smart Home Push Leaks
On Wednesday, OpenAI published 722 manuscripts covering solutions to hundreds of long-standing open mathematics problems, produced by an unreleased internal model. The release, which had been expected for weeks, marks one of the most significant demonstrations yet of AI's ability to push into pure mathematical research — but it has also unsettled mathematicians who question how the results were obtained and what they mean for the field.
The batch includes 372 "result families" that group related papers, with OpenAI claiming the average result used the equivalent of three hours of ChatGPT Pro thinking time. According to AGMAI — the newly formed independent advisory group of elite mathematicians tasked with communicating the results responsibly — the release includes solutions to hundreds of open questions across most areas of mathematics. Many of the proofs were checked using Lean, a computer language that verifies underlying logic. For ten of the solutions, OpenAI also provided summaries of how the model arrived at its answer.
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What you'll learn
- 1 Tech Brew Ride Home – October 7, 2026
- 2 Timestamped Outline
- 3 (00:04) **Episode Open** - Brian McCullough introduces the day's top stories: OpenAI's math model drop, HBO Max/Paramount Plus merger, Apple smart home leak, Ring's new lock, and XReal Aura pre-orders
- 4 (00:31) **OpenAI Releases Solved Math Problems from Unreleased Model** - The company publishes 722 manuscripts covering 372 result families of long-standing mathematical problems, solved by an internal frontier model
- 5 (03:01) **Mathematicians Raise Ethics and Due Diligence Concerns** - NYU mathematician Tristian Buckmaster, who worked on the Navier-Stokes problem that OpenAI solved, questions whether researchers are inadvertently feeding AI the information that lets it beat them to answers
- 6 (04:04) **HBO Max and Paramount Plus to Merge into Single Streaming Service** - Under Skydance's $110 billion acquisition of Warner Bros. Discovery, both streamers will unify over time, overseen by HBO CEO Casey Blois
- 7 (06:54) **Apple's Smart Home Ecosystem Leaked via LG Partnership** - Mark Gurman reports Apple is working with LG on a doorbell, thermostat, deadbolt, security cameras, and accessories that will carry the LG brand
+ Full timestamped outline available in the app
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Show Notes
OpenAI dropped hundreds of solved open math problems from an unreleased model. HBO Max and Paramount Plus agreed to become one streamer. Apple's smart home push leaked, including LG-branded gear. Ring unveiled a dial-recharging lock. And Xreal opened Aura preorders.
- OpenAI releases a range of new mathematical results produced by an internal model, with details like estimations of compute spent in terms of ChatGPT Pro usage (OpenAI)
- OpenAI reveals solutions to long-standing math problems from an unreleased frontier model in 722 manuscripts covering 372 result families, with the "average result" using about three hours of ChatGPT Pro thinking (The Verge)
- OpenAI's new proofs, many checked in Lean, came from an unreleased model; some mathematicians question whether AI is finishing human researchers' work without due diligence (New York Times)
- HBO Max and Paramount Plus will merge into a single streamer under Skydance (The Verge)
- Sources: Apple's smart home push includes a doorbell, a thermostat, a deadbolt, security cameras, and accessories developed with LG that will carry the LG brand (Bloomberg)
- Amazon's Ring unveils the $249 Ring Smart Lock, which uses a physical dial to recharge the battery when turned, set for a Q1 2027 launch, and five new cameras (Bloomberg)
- Xreal opens preorders for its Android XR-powered Aura glasses with a compute puck, starting at $1,279 for 12GB/256GB, in the US, Canada, Japan, and South Korea (Engadget)
- Hands-on
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