AI solved a problem that had stumped for 90 years: what does this change for ordinary users in 2026 📄 On September 8, 2026, OpenAI announced that its…
AI solved a problem that had stumped for 90 years: what does this change for ordinary users in 2026
📄 On September 8, 2026, OpenAI announced that its internal model found a proof for the Navier-Stokes equations - one of the seven "Millennium Prize Problems" from the Clay Institute with a $1 million prize for a solution. The problem of existence and smoothness of solutions had remained open for about 90 years: back in 1934, mathematician Jean Leray proved the existence of generalized solutions, but the question of whether they remain smooth at all times was never resolved.
What exactly did the model show 📐
🔬 The proof describes a specific scenario: an initially smooth flow of liquid at rest can develop a singularity in a finite time - a vortex collapses inward and stretches along an axis, the speed locally increases without bound, while the total energy of the system remains finite. The work was carried out by a group of about 10,000 AI agents, and the entire process took about 88 hours. The result is presented in the form of a 165-page proof with formal verification in Lean - this system checks the logical correctness of each step line by line.
Why there was a dispute around this ❓
The publication was accompanied by a dispute over authorship: some researchers point out that the impetus for OpenAI's work was rumors of independent, yet unpublished results from other mathematicians. OpenAI itself does not claim the $1 million prize - only the demonstration of the model's capabilities.
An important clarification for those who want "the same model"
The proof was created by an internal, yet unreleased OpenAI model, significantly surpassing its publicly available versions. This is not the model that can be accessed via subscription right now - and any promises of "buy a subscription and gain access to the model that solved the millennium problem" would simply be inaccurate.
What this means for the average user 👤
The value of this news is not in direct access to the experimental model, but in the fact that it shows: the capabilities of AI systems are growing faster than most people can notice. Public models - ChatGPT, Claude, Gemini, Grok - are also evolving at the same pace, just with a delay in publication, and the difference in capabilities between generations of models within a single year is becoming increasingly noticeable.
The practical conclusion is simple: staying subscribed to one or several top models is not a luxury, but a way to keep up with what these tools can actually do right now.
Where to subscribe profitably✅
SOCNET INFO - the entry point to all official SOCNET platforms, including the digital goods marketplace. On SOCNET STORE you can find subscriptions to ChatGPT, Claude, Gemini, and other popular neural networks at a good price, with a secure transaction - payment is held by the platform until the product is confirmed received.
🎁 Since you read the article to the end - here is a promo code MEDIUM10, which gives a 10% discount when paying for digital goods on the marketplace.
Is it possible to access the model that solved the Navier-Stokes problem? No, this is an internal, non-public development of OpenAI - the subscription models work on other versions.
Did OpenAI receive a cash prize for the solution? No, the company officially stated that it does not claim the $1 million prize.
Is the solution trustworthy according to the mathematical community? The proof has passed formal verification in the Lean system, but there is an open discussion in the scientific community about the circumstances of its creation.
Conclusion
Conclusion
The solution to the Navier-Stokes problem is not about everyone being able to buy access to a super-powerful model, but about the pace at which the entire industry is developing. Public models like ChatGPT, Claude, and Gemini are moving in the same direction, and subscribing to them through SOCNET STORE is a practical way to take advantage of this progress today, rather than in years.