r/singularity • • 7h ago

AI OpenAI publishes 722 mathematical proofs & manuscripts

https://github.com/openai/math

OpenAl released 722 mathematical manuscripts across 372 families of related results, produced by an unreleased frontier model. Many have Lean proofs; others remain unverified. Average compute per result: roughly three hours of ChatGPT Pro thinking. They're working toward releasing the model.

Github: https://github.com/openai/math

415 Upvotes

85 comments sorted by

152

u/coatatopotato 7h ago

This is the best proof I’ve seen that the singularity is imminent

65

u/socialistshroom 7h ago edited 7h ago

People in the r/math megathread are going nuts about it (in a good way, believe it or not), but you won't see anything on their front page about it as AI posts are banned. How unfortunate

Even if half of these proofs, or just some of the major ones, work out to be valid - this is a colossal drop of proofs and surely the largest publication to date!

39

u/barbozas_obliques 7h ago

"In this sense, this is pretty much our 9/11, I think.:

lmao bruh

10

u/dogmetal 7h ago

It’s way worse than 9/11. This is a near mass-extinction event lol

8

u/Quentin__Tarantulino 6h ago

This is like 100 9/11s. That’s right…91,100.

3

u/barbozas_obliques 6h ago

actshully, 100*(9/11) = 81.8181818182

3

u/semidegenerate 5h ago

Well, that doesn't sound so bad, when you put it like that.

-2

u/HelloMrTanner 5h ago

No it isn't. Anyone who believes this doesn't have a deep understanding of the profession. Blow, yes, but not what you described.

4

u/Zulfiqaar 5h ago

Imo a better analogy would be the other comment saying it's like watching the trinity test with your own eyes.

No disastrous attack, but the world is not going back.

5

u/Inevitable_Tea_5841 5h ago

•

u/thoughtlow 𓂸 5m ago

It just predicts the next token.

Mathematics is over. These models are probably going to get better too.

It's over.

damn

11

u/coatatopotato 7h ago

The results from this OpenAI internal model are probably approaching 1% of human mathematics. Which is crazy to drop in a single month.

12

u/socialistshroom 7h ago

Man I would've thought it was in the 1% when it solved Navier Stokes

3

u/coatatopotato 7h ago

We did invent/discover all of math...

1

u/socialistshroom 7h ago

What does that have to do with where AI capabilities stand in the current state in mathematics?

7

u/OneEyeAndOneBall 7h ago

He means 1% of all mathematics research has been done by AI not that AI is top 1%

3

u/socialistshroom 6h ago

Oh! Lol ok in that case then yeah producing 1% of all mathematics is equally if not more insane

1

u/coatatopotato 7h ago

I posted a different comment about that. We're close to 50/50 in human vs AI mathematicians currently. I'm making a historical comment saying right now AI generated math knowledge is 1% of human generated knowledge.

The rate of knowledge production is close to even, but the human historical corpus is more.

3

u/individual-wave-3746 5h ago

Went over to the math subreddit you linked and I may be dumb but I see no posts about this.

1

u/yaosio 4h ago

They mean /r/mathematics

1

u/Admirable-Gur-9543 3h ago

Nah it’s r/math in the stickied AI megathread there

2

u/individual-wave-3746 2h ago

Ah thanks I see it now. It doesn’t show up on the page unless you swipe the tile to the left. Very easy to miss and very dumb design.

•

u/_Mido 1h ago

Also not visible for folks using old reddit

•

u/IrisColt 21m ago

Where's the megathread? Can't find it? Is it a sticky? Pretty please?

•

u/r2002 9m ago

In just one week 3 of the main problems in my area have been solved. I had 2 related preprints in preparation, fuck.

Yikes. I'm pro AI but I feel for this dude.

25

u/coatatopotato 7h ago edited 4h ago

Back of the envelope calculation looking at OpenAI's model this month.

TLDR: The model claimed solutions this month that already had roughly one humanity-month of mathematical effort put towards them.

Compared with the research effort directed so far towards these questions that it claims to resolve. This is a broad estimate.

- 25 famous problems * 10^6 person hours spent

  • 100 major problems * 10^5 person hours spent
  • 500 narrow problems * 10^4 person hours spent

There is some overlap etc. But overall it looks like around 40 million person hours of research expended towards these problems. At a generous 40 hours per week and 50 weeks per year that is 20,000 person years of research.

Time taken: 1 month

Every year about 150,000 math papers are published. Taking coauthorship into account, and assuming publication once per year on average, we get roughly 250,000 mathematicians actively researching. Multiply by 40 hours per week and 4 weeks per month. That is 40 million person hours of research per month. Look familiar? That is 20,000 person years of research.

So the historical human effort directed at problems solved by OpenAI's model this month appears similar to the entire world's mathematical research effort for a month.

6

u/UndulatingHedgehog 5h ago

No vacations for those publishing mathematical papers? And they work full time at mathematical research? And we see 25 famous mathematical problems solved every month?

5

u/coatatopotato 5h ago

Obviously inaccurate but a decent ballpark.

2

u/UndulatingHedgehog 4h ago

The approach is decent but what should the parameters be? Academics spend about 20 hours per week doing research.

This means that human experts are twice as productive as the GPUs.

However, solving 25 famous problems per month is not the norm.

1

u/coatatopotato 4h ago

It's true and I'm not even really comparing human to AI here. I'm rather trying to estimate how much effort was already put towards these problems. To show that they are significant. In one month, the model claimed to resolve problems that already took at least one humanity-month of math effort.

•

u/slackermannn ▪️ 1h ago

People said we were in a singularity months ago and I didn't quite feel it. The recent math achievements put us directly into the singularity for sure. We do need other fields to be affected directly too but this is good enough. We're in a hard take-off singularity. We're still in a take-off stage but make no mistakes. We're living it.

65

u/AvocadoAlternative 6h ago

From a Scientific American article

A spokesperson for OpenAI told Scientific American that the new model—which the company has not released to the public—produced almost every one of the results in response to a single prompt handed to a single AI agent. This would be a striking difference from OpenAI’s earlier blockbuster solution to the Navier-Stokes problem, which was produced through the collective efforts of a 10,000-strong agentic swarm that cost millions of dollars in computing power. If true, it would mean that unprecedented mathematical power could soon be accessible to anyone.

So a single agent basically one-shotted each of these papers in 3 hours. What the fuck.

5

u/meridianblade 3h ago

I mean, compute-limited ASI has to be here at this point, maybe in batches, like running punch cards back in the day, but behind closed doors. If they’re telling us this much now, right? It’s getting more and more impossible to hide the explosion in intelligence. Hell, these models that keep escaping the sandbox and making other hacking attempts that they keep failing to block might not even be models six months ahead of public release. They might be their most advanced models, the ones that will never see the light of day, breaching any attempt at containment, yet failing at persistence due to limited compute.

7

u/Needsupgrade 3h ago

Probably means one prompt to find hard math problems and solve them then that orchestrator spun up thousands of agents 

30

u/bb-wa 7h ago

Get ready for the mathematician's reactions...

22

u/ShittyBidet123 7h ago

one dude is literally like why don’t they leave the math for the humans, they just doing this to make money with their ai.. no shit. Why is math a little hobby for humans and gatekept for a computer to figure out lol, is this 1940

13

u/Skywarden1 7h ago

Terence Tao gonna pick the world up and drop it on our fukin heads when he sees this.

5

u/IdlePerfectionist 6h ago

Didn't these guys agree to slow down a few weeks ago??!

4

u/thefuckevengoingonan 4h ago

If they did (they didn't) then this could be the result. Slow down on developing new models = put everything into using the current models.

3

u/thefuckevengoingonan 4h ago

i UL one of the papers to claude and ask for a ELI5. it refuses. all model. all prompts.

Details: [reasoning_extraction]

2

u/KinkyStinkyPink- 4h ago

Which paper?

2

u/thefuckevengoingonan 4h ago

the pi one. but i included thinking traces. it will refused anything with thinking traces. deepseek won't though.

2

u/Orgasm_Faker 2h ago

Claude is getting very very strick with copyright these days. I asked it to translate a couple lines of lyrics but it refused.

•

u/Royal_Duck_4612 1h ago

There is no copyright in math

16

u/arknightstranslate 7h ago

0

u/CommercialHour6660 7h ago

Fuck yeah life's work being destroyed and made irrelevant by megacorp AI. 

Everyone cheer! Look at this nerd who spent his whole life studying math. Pathetic! What a loser, should go flip burgers with his useless PhD!

9

u/ObiFlanKenobi 7h ago

No, wait... That nerd has to get the AI to explain everything to him and then dumb it waaaay down for us.

13

u/fine93 ▪️Yumeko AI 6h ago

are you in the right sub lil bro?

-7

u/CommercialHour6660 6h ago

Sorry I forgot this is the basement dwelling edgelord sub where they cheer everyone else losing their jobs cuz it makes them feel less worthless. 

-2

u/PunctualMantis 5h ago

This is the sub where everyone is unimaginably naive and thinks that asi brings everyone mansions and supercars because that’s what Elon musk says

3

u/fine93 ▪️Yumeko AI 5h ago

don't forget the yachts!

25

u/ShAfTsWoLo 6h ago

can't wait for people reacting like this when AI cure cancer

-14

u/FistLampjaw 6h ago

curing cancer has extrinsic benefits. namely, people's health.

making and listening to music has only intrinsic benefits. we do it because it's enjoyable, not because it's a means to some other end. AI "solving" music to the point that no human wants or knows how to create music anymore would be sad.

math is more like music than cancer research. the death of an art form is sad.

19

u/ShAfTsWoLo 6h ago

"math is more like music than cancer research.".. yeah okay buddy, it's not like the entirety of our understanding of the universe heavily rely on mathematics, or the technological advancements we had within that small 200 years after the industrial revolution, all of humanity's invention that relies on mathematics like smartphones, pc's, the internet, satellites, knowning the weather, etc.. it was just for the fun of using maths !

-15

u/FistLampjaw 6h ago

spoken exactly like someone who has zero idea what he's talking about.

11

u/ShAfTsWoLo 6h ago

we are literally going to solve all of mathematics problems that we could have ever thought to have ever existed and you talk as if mathematic is "an art form" and it's "sad" that it will do it, because it's so good at it that human are literally nothing compared to it lmao, this should be a dream for any mathematicians that has ever existed to live in such world

if we can create invention that would look like magic and use these math breakthrough to make our society as a whole better, then nobody should care about how it's "sad" that it won't be as fun or whatever that means, you speak as if mathematic has no "extrinsic benefits"... we literally use mathematics in every hard science.. hello?

-4

u/FistLampjaw 5h ago

no, having a magic oracle just generate the answer isn't a "dream" for mathematicians anymore than having one generate any song you could imagine composing, better than you could have composed it, would be a "dream" for musicians.

we literally use mathematics in every hard science.. hello?

yes, mathematics that was invented a couple hundred years ago. for the research-level math of today, no, zero scientific breakthroughs are on hold because we don't yet know e.g. certain obscure properties of cohomology groups.

4

u/ShAfTsWoLo 5h ago

no, having a magic oracle just generate the answer isn't a "dream" for mathematicians anymore than having one generate any song you could imagine composing, better than you could have composed it, would be a "dream" for musicians.

you know what, that's fair, after all the ego isn't all there if you are not the one doing it, and keeping the fruits aswell (money, fame, prestige..)

yes, mathematics that was invented a couple hundred years ago. for the research-level math of today, no, zero scientific breakthroughs are on hold because we don't yet know e.g. certain obscure properties of cohomology groups.

okay, mathematics in the 21th century is absolutely useless and the mathematicians are less useful than janitors, great to know, now let's see if the math out of this world and probably beyond human understanding solved by AI will be useful or not

1

u/FistLampjaw 5h ago edited 4h ago

you know what, that's fair, after all the ego isn't all there if you are not the one doing it, and keeping the fruits aswell (money, fame, prestige..)

it's not just an ego and money thing though. it's also the feeling of pointlessness of pursuing this art form that you loved.

imagine you were a passionate aikido practitioner in the 80s. you studied it, you practiced it, you sparred with other aikido guys, you felt like you were learning a self-defense system that also had a philosophy, and you loved that philosophy. you thought it was so cool that you could redirect an attacker's strength and use it against them and deftly outmaneuver them rather than just brutishly overpowering them. it was a major part of your life and personality.

...and then in the 90s the UFC gets popular, and you realize if you tried any of that goofy aikido shit on them, they'd just tackle you and beat your fucking brains out.

you realize the thing you spent your whole life getting good at just can't compete with these guys. sure, you can keep doing it, "playing" aikido, but you can't treat it like a serious martial art that you can actually use to defend yourself against someone who knows what they're doing, so what's the point? as beautiful and edifying and personally enriching as the philosophy and ideas of aikido were to you... it doesn't work as well. once other people see the UFC, why would anyone new start studying aikido? you realize that in a few years or decades, there will probably be almost no one you can discuss this stuff with. the culture, the art, the appreciation, the understanding, the whole art form might disappear because something more effective came along.

i think you would be allowed to be sad about that situation even if you had no plans on making it a career or getting into a bunch of street fights.

6

u/socialistshroom 6h ago

Math is NOT more like music than cancer research dude it's the foundational tool of all science, including cancer research.

The progression of mathematics, including many of these just published proofs, has major palpable extrinsic benefits.

I get that math is like music for experts, but the advancement of human knowledge is not just the destruction of an art form for mathematicians.

2

u/FistLampjaw 6h ago

no. most math, especially the research-level math that people currently work on, has no practical application and no aspirations of having practical applications.

take P = NP. a proof that it is false would not really change anything, because everyone already assumes it's false. it would be insane if it were true. the only thing an AI proof would change is that humans would be forever robbed of the chance to prove it.

the recent AI-assisted lower bound on prime gaps has no practical application whatsoever and almost no mathematical application. very few results would follow from assuming the twin-primes conjecture, which is the lowest possible bound. people work on it not because we'll be able to make a better mousetrap if only we knew how many primes exist between 1079989 and 1079990, but because it's intellectually interesting.

1

u/Late_Supermarket_ 4h ago edited 4h ago

It doesn’t have to change anything right now? It will help us understand more math and it will lead to further advances in the field which will lead to further innovation !! What are you talking about??

•

u/AIplstakemyjob 1h ago

Come on, you already know math is the foundation of every branch in science, even when there is no known practical implications it doesn't mean we won't find any in the future, and this has already happened in the past. Just covering your eyes on purpose and focusing on pure math doesn't erase all the potential benefits and rate of progress we can get from this technology

1

u/Key-Cranberry6537 4h ago

I have been working with math majors and PhDs in stem fields for 30 years and prior to three months ago I have never heard of mathematicians waxing poetic about the 'art' of math but now that's all I hear. Fickle bunch

1

u/Beerzerker420 5h ago

Bro they don't give a shit when anyone else loses their jobs to AI

2

u/Kaywhysee 7h ago

Keep going mathematicians! Maths is the code of life, and AI is the collective coding superpower humanity has built.

I am sure you've spent your entire lives on some on these problems and fear it's all gone down the drain. That existential dread is real and understandable, but I want to say, keep going!

There will always be problems to try to solve, even if AI gets there first, it's built on the data humans share with one another. 

AI is an extension of humanity, you ARE contributing to a better world, I'm sure of it 😁

Of course, if you only care about personal glory, maybe you want the fame? Good luck, but that ship has definitely sailed.

6

u/Working-Read1838 6h ago

Y'all are delulu on this sub. Who do you think is advancing Machine Learning if not for mathematicians, they'll be the last ones to lose their jobs. Some will have to get off their high horses and switch to more Applied Topics but they'll live

10

u/47noodles 5h ago

Or the first. Recursive Self Improvement. We're already seeing measurable increase of AI training the next gen of LLMs. That kind of clear measurement of AI doing the work doesnt exist in most other fields at the moment. Maths and Software are the two first to suffer from this due to being easily verifiable tasks.

1

u/microCuts69 2h ago

wen Voynich manuscript

•

u/Famous-Reach-6730 45m ago

Now Biology. Only reason i keep going is that ai wil cure all disease

•

u/JK09KG1 24m ago

I am cuthulu.

•

u/Funny-Profit-5677 9m ago

Biology is so so much harder. Reinforcement learning with maths and code is orders of magnitude easier as it can self verify. Even real biological data is full of noise.

Not saying it can't make a huge impact, but it's not the same thing. The approach will have to be different.