Calcea Johnson and Ne'Kiya Jackson believe they can prove the Pythagorean Theorem using trigonometry — and are being encouraged to submit their work for peer review Jason Hahn is a former Human ...

At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...

A series of recent research papers have shown that ChatGPT and related large language models can produce original, verifiable mathematical proofs, including solutions to problems that had not been ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...

What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a mathematical relation widely applied across many fields of mathematics, science and ...

OpenAI's AI disproved the Erdős unit distance conjecture, an 80-year-old geometry problem. Days later, Google DeepMind solved 9 more Erdős problems ...

In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a ...