Math

Can a six-dimensional sphere be described using imaginary numbers? For decades, experts puzzled over this question. Now an AI has apparently answered it

Google made a major breakthrough in quantum computing. To prevent the results from being misused, the company kept them secret. That backfired

In parallel, a race by amateurs and mathematicians has found all 25,000 cases of one “inverse Galois problem”

OpenAI’s proof seems eligible for a $1-million prize—but only by using a controversial loophole

OpenAI’s claimed proof of the Navier-Stokes problem is a mathematical tour de force, but any real-world applications may be years away—if they ever arrive at all

The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke

A search for the most complex elliptic curves has taken mathematicians years. Claude beat the record in days

Moser’s circle problem can be used to divide a pizza into one, two, four, eight, 16 or 31 slices. It’s a perfect example of how the numbers in a sequence aren’t as clear-cut as they may first appear

After an OpenAI model presented a possible solution to the Navier-Stokes problem, mathematicians are speculating about which major unsolved question could be resolved next

Hang a painting poorly in this math puzzle

A new declaration from winners of the Fields Medal reflects many mathematicians’ growing alarm over a “severe misalignment” between the tech industry and their field a week after AI toppled one of math’s biggest open problems

Researchers devised the dice to solve a tricky math problem: When playing a game, who goes first?