OpenAI stated that its internal artificial intelligence-based model had found a solution to one of the seven “Millennium Problems”—the problem of the existence and smoothness of solutions to the Navier–Stokes equations.

To solve the problem, the company used an internal model whose capabilities significantly exceed those of GPT-6 Astra: approximately 10,000 agents were deployed simultaneously, with access to data retrieval from a cached copy of the internet and programming.

Some agents were given specific formulations leading to a proof of the statement, while others were tasked with disproving it.

They arrived at an answer by September 5; formalization and verification using GPT-6 Astra took another 17 hours. OpenAI explained that 2.7 million messages were sent to solve the problem and 130 billion output tokens were used, roughly equivalent to the contents of one million books.

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