Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Brain teasers are fun little puzzles that make you think in different ways. They might look simple at first, but they often have a twist that surprises you. Solving them gives your brain a good ...

A study of the fascinating galaxy system nicknamed "The Stingray" suggests that mysterious little red dots could be a phase in the evolution of galaxies powered by actively feeding black holes, rather ...

You’re reading The Financial Page, John Cassidy’s weekly column on economics and politics. In the early nineteen-nineties, when Arindrajit Dube was growing up in Seattle, where his parents were ...

In this video I will work through 22 different examples of solving two-step equations using a worksheet I created for my students. I will use the properties of equality, inverse operations, and ...

A new AI framework called THOR is transforming how scientists calculate the behavior of atoms inside materials. Instead of relying on slow simulations that take weeks of supercomputer time, the system ...

Quantum computers are already here, but they make far too many errors. This is arguably the biggest obstacle to the technology really becoming useful, but recent breakthroughs suggest a solution may ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...

Steven Bouma-Prediger seldom sees students walking between classes without their faces buried in their smartphones. This distraction transfers into the classroom, where Bouma-Prediger takes matters ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...