on Unsplash Share OpenAI has announced one of its unreleased artificial intelligence models has found an answer to one of the biggest open questions in mathematics, the Navier-Stokes Millennium Prize problem. Prizes offer million-dollar rewards for solutions to seven notoriously difficult mathematical puzzles, and until now only one had been solved.
# What OpenAI announced
OpenAI says an in‑development model found a proof that the Navier‑Stokes equations allow a finite‑time blow‑up under certain conditions. The company describes running a swarm of 10,000 AI agents that used millions of dollars' worth of compute to produce the result in 88 hours, followed by 17 hours of verification.
# What the Navier‑Stokes problem asks
The Navier‑Stokes equations describe fluid flow for water, air, and other fluids. The Millennium Prize question asks whether smooth solutions can break down: if you zoom in on flow, can energy transfer to ever‑smaller, faster swirls and produce an infinite velocity in finite time (a singularity or "blow‑up")? OpenAI's announced result says yes—under some conditions the equations permit a blow‑up.
# Why the claim matters technically
# The disputed origins and attribution
Tristan Buckmaster (a mathematician) and Anthropic researcher Levent Alpöge had been working on related ideas. Buckmaster says he had asked OpenAI whether the company used his data and that OpenAI later offered collaboration conditioned on removing Alpöge's name because of his Anthropic affiliation. OpenAI denies that claim.
Other mathematicians raised alarm about AI models "hoovering up" unpublished work and presenting outputs without clear provenance. German mathematician Andreas Thom suggested models may be reusing unpublished human contributions. Terence Tao expressed reservation about using powerful solution‑extraction tools to chase immediate problem solving at the expense of broader conceptual understanding.
# Process, speed, and incentives
OpenAI frames the effort as a rapid, resource‑intensive push after hearing rumors that a competitor was close to similar results. The company's account links the rush to competition with Anthropic and to product and market timing. That rapid, compute‑heavy approach prompted ethical questions about racing for credit versus the norms of cooperative, transparent mathematical research.
# Immediate ripple effects
# What to watch next
A landmark announcement by the frontier AI lab has been overshadowed by accusations of impropriety.
Prior to the announcement, rumors were circulating online among mathematicians over the proof’s origins—OpenAI has denied all allegations
OpenAI denies it stole a mathematician's data. But his fear echoes concerns many CEOs have about AI companies.
OpenAI has spent the last few years planting flags across the increasingly difficult terrain in mathematics. This week, it claimed one of its biggest prizes yet: a solution to a legendary Millennium Prize problem. In normal circumstances, this would have been celebrated as a historic achievement. Instead, many mathemat
AI (Artificial Intelligence) နည်းပညာက အá€á€¯á€¡á€á€»á€á€”်မှာ နေရာá€á€á€¯á€„်းမှာ ရှá€á€”ေပါပြီዠဒါပေမဲ့ “AI ကá€á€¯ ဘယ်ကနေ စလေ့လာရမလဲአအမြန်ဆုံး á€á€á€ºá€™á€¼á€±á€¬á€€á€ºá€¡á€±á€¬á€„်â
Recently, there was an uproar in the media over the resignation of an artificial intelligence researcher who quit the AI firm Anthropic. He warned that people working on the technology were “frightened” by the speed of its advancement. If we did not slow down, the consequences could quickly become catastrophic. Whether
Loading more related stories...
Open the app view to save this story, compare related coverage, and continue from the same source.