When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...

When computer scientists hang out at cocktail parties, they're apt to chat, among other things, about the single most important unsolved problem in computer science: the question, Does P = NP?

Imagine a world where artificial intelligence not only understands language but creates with it, where quantum systems no longer feel like an enigma but a solvable puzzle. It might sound like science ...

Researchers got a better look at the thoughts of chatbots, amateurs learned exactly how complicated simple systems can be, and quantum computers passed an essential milestone. The end of 2024 seems a ...

Last week, HP Labs mathematician Vinay Deolalikar started circulating a startling paper that claims to have solved the preeminent open problem in computer science, known as P = NP. Er, more accurately ...