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# Did OpenAI solve the wrong Navier\-Stokes problem?

85 points · 37 comments

[Full discussion](<https://news.ycombinator.com/item?id=49795260>)

[Read original](<https://www.scientificamerican.com/article/did-openai-solve-the-wrong-navier-stokes-problem/>)

Category: [Research & Evaluation](<https://hacksnap.live/?category=research-evaluation>)

## Skept-o-meter & Hotness

Skept\-o\-meter: Low\. Estimated from 7 comments\.

7 comments for the summary\.

Peak rank: \#9

Time in Top 10: 7\.1 hours

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OpenAI may have satisfied Clay's option C, but the no\-go result and expert comments frame the real issue as whether that option is the Navier\-Stokes problem worth solving\.

## The brief

OpenAI's LLM\-generated proof addresses a Navier\-Stokes variant that allows an external force, matching option C in the Clay Mathematics Institute's 2000 problem statement\. Many mathematicians say that is a niche loophole disconnected from the no\-force formulation they care about, and a new proof shows OpenAI's method cannot extend to the full problem\. The result still counts under Clay's original wording, leaving debate over how to regard it\.

- OpenAI's proof solves a version of Navier\-Stokes that permits an external force, corresponding to option C in Charles Fefferman's 2000 Clay problem statement\.
- Mathematicians including Luis Silvestre say the more important no\-force problem remains unsolved, and the external\-force variant is considered less natural and less connected to reality\.
- A new proof by three mathematicians shows OpenAI's method cannot be extended to the full problem: if the external force is removed, the blowup disappears\.
- The external force used is described as very contrived and unlike anything that could occur in the real world, so the result exploits a loophole in the problem's framing\.
- The work raises the possibility that Navier\-Stokes can blow up only with an external force, not from the fluid itself; if true, some say the Clay statement should not have included the external\-force option\.
- Mathematicians remain uncertain how to regard OpenAI's contribution, noting LLMs are good at explicit constructions and blowups but less good at proving impossibility or building new theory\.

## Discussion themes

### Two formulations, different difficulty

Commenters distinguish the no\-external\-force and external\-force versions of Navier\-Stokes, noting the latter is easier for a counterexample because one can design a tricky external force field\.

Sources: [Comment 49798685](<https://news.ycombinator.com/item?id=49798685>)

### Problem\-specification dispute

Some read the issue as a failure of problem specification: Fefferman and the Clay Institute included option C, so OpenAI solved what was asked, but that option is niche and not what the broader math community cares about\.

Sources: [Comment 49807838](<https://news.ycombinator.com/item?id=49807838>) · [Comment 49808001](<https://news.ycombinator.com/item?id=49808001>) · [Comment 49808031](<https://news.ycombinator.com/item?id=49808031>) · [Comment 49808111](<https://news.ycombinator.com/item?id=49808111>)

### Moving goal posts or off\-topic?

A counterargument calls the loophole framing 'moving the goal posts,' arguing that exploiting loopholes is how many great math problems are solved; another commenter rejects that as off\-topic, saying the issue is the niche version solved\.

Sources: [Comment 49808016](<https://news.ycombinator.com/item?id=49808016>) · [Comment 49808031](<https://news.ycombinator.com/item?id=49808031>)

### Dramatized discourse and real concerns

One commenter argues the discourse is dramatized and misses the math community's actual concerns: model capability is impressive and not in dispute, but AI companies' lack of transparency makes capability hard to evaluate, and counterexample\-finding may be more amenable to RL than other proof strategies\.

Sources: [Comment 49799812](<https://news.ycombinator.com/item?id=49799812>)

## Sources & coverage

AI-generated summary · 2026\-09\-23T12:01:14\.828539\+00:00

Based on 7 of 7 usable stored comments, selected by depth and branch activity. This is a sample of the discussion. Article text may also be shortened.

Generated using deepseek\-ai/DeepSeek\-V4\.1\-Flash. Check the linked sources for full context.
