With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with ...

Slow, error-prone calculations by hand were unavoidable in the early 19th century, yet even small mistakes could ruin the ...

Classical public-key cryptography derives its security from integer factorisation. Diagram by Venus Kolhi. Quantum computers bring exponential computing power, ultrafast calculations, advanced ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to ...

The second batch of “First Proof” problems is meant to evaluate AI’s usefulness for research-level math. The best model got ...

GenAI’s breakthrough in mathematics offers a lesson for medicine: solving healthcare’s biggest problems means questioning old ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

As we scour and scorch the Earth for deeper wells of energy, investors and government agencies are pouring billions into ...

After publication, concerns were raised about the existence of certain references cited in this Article to support statements made about cancer treatment and the medical properties of daunorubicin.

These are math’s most famous open questions. Solve one, and you’ll win a $1-million prize—but it’s only happened once since ...

After publication, concerns were raised about the existence of certain references in this Article cited to support statements made about the medical properties of mitoxantrone. The Editors were unable ...

Water scarcity just became Wall Street’s problem. SpaceX’s recent IPO filing explicitly warns investors that water access now ranks alongside power and processors as a critical constraint on AI data ...