The transcript explores Goldbach’s conjecture, the simple-looking claim that every even number greater than 2 can be written as the sum of two primes. It follows the problem from Euler and Goldbach to ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

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 ...

Among the leading experts who study the Colorado River, Anne Castle stands out. During the Obama administration, she was assistant secretary for water and science at the Interior Department. During ...

Those responses to a new CNN poll sum up Americans’ feelings about the economy: They just feel stuck. CNN’s poll, conducted by SSRS, finds a surge in people naming high prices and the cost of living ...

Semiliquid fund managers must walk a tightrope when it comes to cash management. Too little cash, and they could face a liquidity crunch that forces the sale of hard-to-trade assets, potentially ...

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Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...