OpenAI says a next-gen model produced 10 new results on open math problems for about $2,000

OpenAI · x · 2026-08-04

An internal version of OpenAI’s next major model produced 10 new results on long-standing open problems in mathematics and theoretical computer science, using roughly $2,000 in tokens at GPT-5.6 Sol API rates.

OpenAI says the results cover problems in sphere packing, coding theory, group theory, quantum complexity, lattice cryptography, and extremal combinatorics. The company also says it is releasing the manuscripts, formal Lean certificates, and reasoning walkthroughs so mathematicians can inspect and build on the work.

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