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Posted by tedsanders 7 hours ago

An OpenAI model has disproved a central conjecture in discrete geometry(openai.com)
704 points | 506 commentspage 4
overgard 2 hours ago|
I think it's worth being skeptical of this.. there's a way too common pattern of "AI Lab Shows AI Doing Something Only Humans Can Do" only for a bunch of important caveats and limitations to be discovered after the initial hype. And of course, the correction never seems to be as viral as the hype. I'll believe it when a mathematician actually reads the 100+ pages of reasoning.
dev1ycan 1 hour ago||
Wouldn't surprise me if they're just paying math geniuses to do math research and attribute it to AI models.
zuzululu 3 hours ago||
This topic and discussion is out of my league what is the implication here ? LLMs aren't a dead end ?
sinuhe69 3 hours ago||
How did they jump from finding counter-examples (disproof) to a proof?
SubiculumCode 4 hours ago||
I wonder whether there will be progress in string theory from these kinds of applications of AI.
taimurshasan 6 hours ago||
I wonder how much this cost vs a Math Professor or a team of Math Professors.
Karrot_Kream 5 hours ago||
Sadly math professors aren't very expensive. Academics are paid terrible wages. Until recently, tenure was the carrot at the end of a grueling education. But now that tenure positions are getting rarer (well, tenure positions aren't growing vs the number of aspiring academics is), they continue to be cheap highly educated labor.
forgot_old_user 6 hours ago||
it will only get cheaper in the long run
aspenmartin 5 hours ago|||
40x cheaper per year if trends continue
dvfjsdhgfv 6 hours ago|||
for a sufficiently long definition of long
aspenmartin 5 hours ago||
No for a very short definition of long, look at data on: how fast do prices decrease for a constant level of performance
famouswaffles 6 hours ago||
Another entry in a growing list of the last couple months (interestingly mostly Open AI):

1. Erdos 1196, GPT-5.4 Pro - https://www.scientificamerican.com/article/amateur-armed-wit...

There are a couple of other Erdos wins, but this was the most impressive, prior to the thread in question. And it's completely unsupervised.

Solution - https://chatgpt.com/share/69dd1c83-b164-8385-bf2e-8533e9baba...

2. Single-minus gluon tree amplitudes are nonzero , GPT-5.2 https://openai.com/index/new-result-theoretical-physics/

3. Frontier Math Open Problem, GPT-5.4 Pro and others - https://epoch.ai/frontiermath/open-problems/ramsey-hypergrap...

4. GPT-5.5 Pro - https://gowers.wordpress.com/2026/05/08/a-recent-experience-...

5. Claude's Cycles, Claude Opus 4.6 - https://www-cs-faculty.stanford.edu/~knuth/papers/claude-cyc...

phkahler 6 hours ago||
I would have thought a triangular grid works better than a grid of squares. You get ~3n links vs ~2n for the square grid. Curious what the AI came up with.
comboy 6 hours ago||
Yes, not providing visualization of the solution seems criminal.
red_admiral 5 hours ago|||
Unless it's a non-constructive proof.
kmeisthax 5 hours ago|||
Knowing OpenAI, the solution's probably being withheld as a trade secret, lest it fall victim to distillation attacks (i.e. exactly the same shit they did to the open Internet).
bustermellotron 5 hours ago|||
The grid of squares actually gets > Cn for any C. (More in fact… C can grow like n^a/loglog(n).) The AI proved > n^{1 + b} for some small b > 0, which a human (Will Sawin) has now proved can be about b = 0.014. The grid can be rescaled so the edges are not necessarily length 1, but other pairs will have length 1; that is necessary to get more than 2n unit distances.
kilotaras 5 hours ago||
Both 3n and 2n are linear, the broken conjecture is that you can't do better than linear.
3422817 3 hours ago|
Nice. By the year 2100 200 Erdos problems will have been solved by AI. Let's build more data centers.
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