OpenAI Says Internal Astra Model Produced New Results on 10 Open Problems

Dean W. Ball@deanwball Everyone in the world will soon be able to use the model that made these breakthroughs for every problem they face in life, no matter how mundane, at a cost that will fall dramatically in a matter of months. I still struggle to get my head around this fact. Greg Brockman @gdb ten significant advances in mathematics and theoretical computer science. solved using an internal version of Astra, our next major model, for a total cost of about $2000 at Sol API prices: 1:29 PM · Aug 1, 2026 · 89.9K Views 79 Replies · 102 Reposts · 1.48K Likes Matt Shumer@mattshumer\_ [...] # Marcus on AI # OpenAI’s amazing — but vastly oversold — new model Astra ### Eight or nine misconceptions about Astra. See if you can spot the biggest fallacy. Gary Marcus Astra, a new model that OpenAI is testing internally, is amazing. No denying that: Noam Brown@polynoamial An internal version of Astra, @OpenAI’s next major model family, solved 10 major open problems in mathematics, qua

| | | | | --- | | | [flagged] An internal OpenAI Astra model solved 10 major open math and CS problems (twitter.com/polynoamial) | | | | 44 points by wa5ina 4 hours ago | hide | past | favorite | 43 comments | | | | | | | | | help | | | | | | --- --- | | | | | | --- | | | HarHarVeryFunny 4 hours ago | next (javascript:void(0)) I feel like this kind of "result dump" just cheapens mathematics. How about having a little respect for those whose work this builds on, and current mathematicians some of who may have spent years working on these problems. Rather than sitting on these results until they had enough for a "shock and awe" 10-result dump, how about releasing these results individually as they were made/verified, as well as the failures (equally valuable [...] | | | | | Consider applying for YC's Fall 2026 batch! Applications are open till July 27. Guidelines | FAQ | Lists | API | Security | Legal | Apply to YC | Contact Search: | [...] As imp

## The results We provide new results for the following problems. The results were achieved by an internal version of Astra, our next major model. The total number of tokens needed to find solutions to these problems would cost roughly $2,000 at Sol API rates. These arguments were then prepared into manuscripts by humans with the same model. Afterward, the model formalized each argument in a Lean certificate⁠(opens in a new window). We are also releasing for each solution a model’s narration of its thinking process.

OpenAI said on August 1st that an internal version of Astra, its next major model, produced new results for 10 longstanding problems in mathematics and theoretical computer science, a claim that pushes the frontier AI contest beyond benchmark scores and into work that can be inspected by research mathematicians. Noam Brown (@polynoamial), an OpenAI research scientist, wrote on X that Astra represents a "major step for scientific reasoning." Brown works on reasoning, reinforcement learning, self-play and multi-agent systems. Before joining OpenAI, he worked at Meta's FAIR lab on CICERO, an AI system built to play the strategy game Diplomacy, and at Carnegie Mellon University on the Libratus and Pluribus poker systems. [...] The most striking claims include an explicit construction of a non-sofic group, which would resolve whether every countable group can be approximated by finite permutations, and a disproof of Connes's rigidity conjecture. The sphere-packing result claims the first i

Now, OpenAI has given a sneak peek into its next major model, named Astra. An internal version of this upcoming Astra model was used to create breakthroughs on 10 long-standing problems in mathematics and theoretical computer science. OpenAI mentioned that it didn"t spend enormous amounts of compute to achieve these breakthroughs. In fact, the total number of tokens used to discover all ten solutions would have cost around $2,000 at GPT-5.6 Sol API rates. Once the solutions were discovered by the model, researchers used the same model to prepare the arguments as research manuscripts. The Astra model was able to formalize each argument in Lean, allowing the proofs to be verified using the theorem-proving system. [...] Login or Sign Up Latest News Microsoft Google Apple Software Gaming Guides Reviews Editorials Unboxings Forums Store Send News Tip Write for Neowin About Us Advertising # OpenAI's next major model Astra claims breakthroughs on 10 long-standing math proble

Credit to readerMichael Ebner. How do you use AI? Tell us here. LATEST DEVELOPMENTS ###### OPENAI #### 🤖 OpenAI’s ‘Astra’ cracks long-open math problems Image source: Images 2.0 / The Rundown The Rundown: OpenAI just revealed that Astra, an internal version of its next major model family, solved 10 long-open math and computer science problems (one nearly 30 years old), covering geometry, group theory, quantum complexity, and more. The details: [...] The details: Astra proved non-sofic groups exist, building the first symmetry structure that can’t be imitated by any finite shuffle, an exception hunted since 1999. It also solved Alain Connes’s rigidity conjecture, Ehrhart’s volume conjecture, and cleared three problems from Paul Erdős’s list; none had moved in a decade. Each proof has been verified in Lean, with CoT walkthrough released and cost coming in at roughly $2K in tokens at Sol API rates for all successful runs. In 24 hours, Anthropic’s Levent Alpoge claimed he was a