A seemingly simple set of rules kicks off a kind of mathematical magic trick, which has kept great minds busy since the 1930s ...

AI is already boosting positive outcomes in health care and holds promise for delivering many more. It is important, however, that deployment of AI tools—especially in a life-or-death health care ...

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

Quantum computing advances raise concerns over 10,000 qubits breaking P‑256 encryption using Shor’s algorithm, driving ...

A new mathematical framework, built on a branch of number theory called adelic analysis, has produced a complete proof of the ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

Decades of sensitive information may be suddenly exposed with the advent of quantum computing. The defence, healthcare and financial services sectors have a narrow window of opportunity now, to ...

Personalized algorithms may quietly sabotage how people learn, nudging them into narrow tunnels of information even when they start with zero prior knowledge. In the study, participants using ...

More than 1,200 years ago, in the intellectual heart of Abbasid Baghdad, a Persian scholar quietly reshaped how humans understand numbers, problems and logic. His name was Muhammad ibn Musa ...

It’s not often a math paper goes viral, but a new preprint from a theoretical physicist at Poland’s Jagiellonian University has well and truly bucked the trend. Why? Because it seems to reduce all of ...