OpenAI says an internal general-purpose reasoning model has disproved the Erdős unit distance conjecture, a central problem in discrete geometry posed in 1946
Read the proof(opens in a new window)Read the companion remarks(opens in a new window) — Loading...
OpenAI
Related Coverage
- OpenAI claims it solved an 80-year-old math problem — for real this time TechCrunch · Rebecca Bellan
- OpenAI model autonomously solves planar unit distance problem Crypto Briefing
- An OpenAI model has disproved a central conjecture in discrete geometry Hacker News
Discussion
-
@openai
@openai
on x
This result points to something larger: AI systems are becoming capable of holding together long, difficult chains of reasoning, connecting ideas across distant fields, and surfacing paths researchers may not have explored. We believe those same abilities will soon accelerate
-
@tenobrus
@tenobrus
on x
this should feel surprising. in some sense it's objectively very big news. but this was so clearly the trajectory we were on that it actually just feels like another normal day. life on the METR trendline.
-
@deanwball
Dean W. Ball
on x
Smile: a renaissance is upon us.
-
@deryatr_
Derya Unutmaz
on x
This is a major turning point or a milestone in the impact of AI on solving math problems! The breakthrough was through an internal OpenAI model, which is mind-blowing 🤯. That's all for now and be ready for arrival to the next checkpoint☺️
-
@alexwei_
Alexander Wei
on x
1/ Ten months ago, I was ecstatic that AI could win IMO gold. Today, that excitement feels quaint: an internal @OpenAI model has refuted Erdos's unit distance conjecture—a research result that one could recommend “acceptance without any hesitation” to the Annals of Mathematics.
-
@gdb
Greg Brockman
on x
An OpenAI model has achieved a major breakthrough in mathematics, by disproving a central conjecture in discrete geometry that was first posed by Paul Erdős in 1946. This is the first time AI has autonomously solved a prominent open problem central to a field of mathematics.
-
@joshgans
Joshua Gans
on x
Journals have an explicit policy of not publishing AI authored work. So what will that mean here? They can't stop AI contributing to knowledge. Can they stop it being cited?
-
@emostaque
Emad
on x
Once AI starts making solving open problems in novel ways it won't stop. We are entering the final stage of human solutions to open problems like this. Feels weird, doesn't it?
-
@polynoamial
Noam Brown
on x
Today, we're sharing that a general-purpose internal @openai model achieved a breakthrough on one of the best-known combinatorial geometry problems. Less than 1 year ago frontier AI models were at IMO gold-level performance. I expect this pace of progress to continue.
-
@openai
@openai
on x
The proof came from a general-purpose reasoning model, not a system built specifically to solve math problems or this problem in particular, and represents an important milestone for the math and AI communities. https://openai.com/...
-
@openai
@openai
on x
Today, we share a breakthrough on the planar unit distance problem, a famous open question first posed by Paul Erdős in 1946. For nearly 80 years, mathematicians believed the best possible solutions looked roughly like square grids. An OpenAI model has now disproved that [video]
-
r/technology
r
on reddit
An OpenAI model has disproved a central conjecture in discrete geometry
-
r/singularity
r
on reddit
OpenAI general purpose model had a breakthrough on famous 80 year old Erdos problem. “This marks the first time AI has autonomously solved a prominent open problem central to a field of mathematics”
-
r/accelerate
r
on reddit
Another win for the parrots: An OpenAI model has disproved a central conjecture in discrete geometry
-
r/OpenAI
r
on reddit
An OpenAI model has disproved a central conjecture in discrete geometry
-
@sama
Sam Altman
on x
a general-purpose model solved a major open problem in mathematics. we'll be saying this a lot over the coming years, but this is a kinda big milestone. i'm very excited for AI to greatly extend our understanding of the world, but still, i have complicated feelings today.
-
r/mathematics
r
on reddit
OpenAI model produces a counterexample to Erdős's conjectured unit-distance bound
-
r/artificial
r
on reddit
An OpenAI model has disproved a central conjecture in discrete geometry
-
r/singularity
r
on reddit
An OpenAI model has disproved a central conjecture in discrete geometry
-
@basedjensen
@basedjensen
on x
Don't worry guys it's fancy auto complete
-
Olga Holtz
Olga Holtz
on linkedin
Today's OpenAI announcement on the planar unit distance problem should end one debate and start a more interesting one. …
-
@timkellogg.me
Tim Kellogg
on bluesky
the wild thing is that, even today, you can hire AI consultants who will come in and tell you that LLMs can't do math [embedded post]
-
r/antiai
r
on reddit
What do you think of this?
-
r/aiwars
r
on reddit
An OpenAI model has disproved a central conjecture in discrete geometry