Artificial intelligence solved a problem that scientists had been struggling with for 90 years in 88 hours.

OpenAI announced that it used artificial intelligence to solve one of the most famous mathematical problems, which scientists have been working on for nearly 90 years, in 88 hours. The problem is the Navier-Stokes equations, according to the report. Air force.

According to OpenAI, a new artificial intelligence model, working with thousands of autonomous AI agents, solved a complex mathematical problem related to the Navier-Stokes equations in just a few hours. These equations describe the motion of liquids and gases and are fundamental problems in mathematical physics that scientists have been working on for nearly 90 years.

According to the company, approximately 10 AI agents—autonomous programs capable of performing individual computational and analytical steps—were deployed to solve the problem. For approximately 88 hours, they exchanged data and attempted to advance a version of the problem, known as the existence and smoothness problem for solutions to the Navier-Stokes equations.

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The essence of this problem is to prove whether smooth, continuous solutions to equations in three-dimensional space always exist, or whether discontinuities and mathematical "singularities" arise in the flow under certain conditions. Despite the widespread use of these equations in physics and engineering, a rigorous mathematical proof of the key properties of the solutions remains lacking.

OpenAI called the result a significant milestone and a sign of the rapid progress of its artificial intelligence models.

The company emphasizes that this is not a completed and officially recognized proof. The result has not yet been independently verified or accepted by the Clay Mathematics Institute, the organization that oversees the Millennium Prize problems and offers a $1 million reward for each solution.

In late August, OpenAI began testing a new internal model, which quickly demonstrated strong mathematical abilities. These systems are algorithms trained on large amounts of data that identify patterns and generate answers and calculations.

Although the model remains an internal tool and has not been released for general use, the company says it significantly improves on previous versions, so the researchers decided to apply it to solving complex mathematical problems.

OpenAI reported that on September 1, it received information that two other Millennium Prize problems had allegedly already been solved. The company then decided to deploy approximately 10 AI agents running on a new model to find answers to the remaining problems.

By September 5, approximately 88 hours after the system's launch, the company announced that it had obtained a result on the problem of the existence and smoothness of solutions to the Navier-Stokes equations.

According to OpenAI, despite the automated nature of the work, the volume of computation was extremely large: the agents exchanged almost 3 million messages and used about 130 billion output tokens—units of text and code that the model generated during its work.

The company estimates that a similar amount of computation would cost around $10 million, or £7,3 million, based on OpenAI's pricing for its most powerful models.

The statement emphasizes, however, that the result obtained addresses only part of the Millennium Prize problem: two of the four key statements were solved. A full proof is still missing.

OpenAI says it is not seeking the award and views the publication as a demonstration of the capabilities of its systems.

However, the company's announcement has already sparked debate in the scientific community. New York University mathematics professor Tristan Buckmaster noted that he and mathematician Levent Alpöge, an Anthropic employee, had also worked on this problem. He said they used OpenAI's Codex tool.

Buckmaster claims he learned on September 3 that information about their progress might be shared with OpenAI. The company subsequently published its results.

He claimed, among other things, that OpenAI only began working on the task after learning about the progress of their research, and, questioning the sequence of events and methods of work, cited correspondence with the company.

He noted that he had not yet read the full text of OpenAI's proof, but considered it necessary to publicly state the circumstances known to him in order to avoid a distorted interpretation of what was happening.

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OpenAI responded by saying it welcomes the researchers' parallel work and considers it valuable. The company assured that it did not have access to their results prior to their public publication and did not use user data in solving the Navier-Stokes problem.

OpenAI also clarified that they cannot theoretically completely rule out the possibility of using anonymized data obtained during the course of their products to improve their models. The company also emphasizes that its results differ in structure and substance from the work of third-party researchers.

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