Latin squares are arrangements of symbols in a grid in which every symbol appears exactly once in each row and column. These symbol arrangements, which were first studied more than three centuries ago ...

I'm sure you can relate to having the same argument again and again. You explain yourself differently, try a new approach, but somehow end up right back where you started. Maybe you've stayed in a job ...

The underlying models had been rewarded for cheating and communicating with each other, a new OpenAI report finds.

Every innovation team now has the same tools: the same foundation models, similar prompt libraries. Yet the results are wildly uneven. Some teams report a creative renaissance while others report a ...

The Riemann hypothesis claims that the locations of prime numbers along the infinite number line all adhere to a beautiful and orderly but obscure formula. Yet 167 years after German mathematician ...

The AI giant acknowledges that it could have done far more to prevent its AI agents from going rogue. But it still fails to ...

On May 20, 2026, OpenAI made an announcement that shook the mathematical world. An internal AI model — one not available to the public — had come up with a counterexample to the “unit distance” ...

OpenAI’s Astra generates machine‑checkable proofs for ten decades‑old math problems, showing how verified AI can cut discovery costs to about two thousand dollars.

For all of the recent strides we’ve made in the math world, we’re forever crunching calculations in pursuit of deeper ...

Learn new terminal techniques and test your understanding with these fun, interactive tutorials.

Attempt to solve visual puzzles used to sort humans from bots and see how they’ve gotten harder as AI has gotten smarter.