Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

A new Physical Review Letters study places constraints on the ER = EPR conjecture, showing that under the authors' assumptions, the conjecture would imply possible alterations to the hyperfine ...

OpenAI announced on May 20, 2026, that an internal general-purpose reasoning model had produced a counterexample to Paul Erdős's 1946 unit distance conjecture — a result in discrete geometry that had ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

The Collatz Conjecture is defined by a rule simple enough for a child to follow. No matter what number you start with, the process always appears to end the same way — and it has never been observed ...

The Collatz Conjecture begins with a simple sequence yet no proof has ever been found to solve it. ‘Needs to explain’: Pauline lashed Albanese announces ‘generous’ capital gains tax exemptions for ...

When Hannah Cairo was 17 years old, she disproved the Mizohata-Takeuchi conjecture, a long-standing guess in the field of harmonic analysis about how waves behave on curved surfaces. The conjecture ...

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. By wiggling a needle around while spinning it, you can minimize the amount of space it moves through, ...

The original version of this story appeared in Quanta Magazine. Sometime in the fall of 2021, Andrew Krapivin, an undergraduate at Rutgers University, encountered a paper that would change his life.