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Post by Greg Brockman on X

Greg Brockman@gdb

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.

2.9K likes168 repliesPosted May 20, 2026

View the original on X Written by Greg Brockman. Captured Sep 4, 2026.

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Why it worked

Short enough to read in full without expanding, which removes a step before the point lands.

The mechanics

Hook: Plain observation
Structure: Hook → Landing
Style: Conversational paragraphs at a steady pace.
Tone: plain, matter-of-fact
Written for: People building with AI

Analysis by ViralLoop — not written by the original author.

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More from Greg Brockman

we are committed to business privacy, and we're working on technical and policy approaches to benefit our customers while also enhancing safety. introducing Private Safety Processing, which we've been investing in for some time:

defenders can see the future, and have a narrow window to uplevel their cybersecurity practices now. key is to uplevel fundamentals and apply the best AI tools. what we’re doing at OpenAI, and where other organizations can start: t.co

Evaluations of our next major model, Astra, indicate significant capability advancements in agentic coding and cybersecurity. Team is doing the safety and security work to make Astra broadly available, and get its advanced cyber capabilities into the hands of defenders:

ten significant advances in mathematics and theoretical computer science. solved using an internal version of Astra, our next major model, for a total cost of about $2000 at Sol API prices:

we also are releasing fast mode for sol in the API (2.5x faster!) and decreased the price of terra by 20%. our north star is to provide the best price for any given level of intelligence, and to provide the maximum ceiling of intelligence.

we've cut prices on luna by 80%, making it by far the most price-efficient model in its class. a lot of our research is about how to create incredibly efficient models for any given level of intelligence. excited to see what you all do with intelligence too cheap to meter!

Greg Brockman on AI · ViralLoop