Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...

One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...

Decades of research has shown promise for using microbiome science to solve several problems facing agriculture, but these findings have not yet been translated to practical recommendations for ...

Movie S4. Task solution in Experiment 3. This movie shows a bee solving the task in Experiment 3. The beginning of the video (habituation phase, without the ball present) is shown at accelerated speed ...