Released on this day in 1964, “A Hard Day’s Night” has confounded guitarists with its famous opening chord. Here’s why no one ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Researchers found that some animals could “count” carrots in a test—and may have better numerical skills than dogs or horses.

Thomas Mulligan examines how cutting-edge artificial intelligence has finally cracked a trio of legendary mathematical ...

During World War II, statistics helped the Allies estimate the number of enemy tanks, which proved essential in the decisive ...

Many students appear to be completing assignments faster while learning less from them. This conclusion comes from one of the largest studies of how generative AI is changing student behavior and ...

A fireworks display launches 40 fireworks in sequence. Each firework reaches a random height, independent of the height that ...

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 ...