Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

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OpenAI math proofs are challenging traditional mathematics by solving complex issues like the irrational triangular billiards ...

All equals are not created equal—mathematicians sometimes play fast and loose. In programming, equal signs mean different things, and variables have different types. Turning intuitive math expertise ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

OpenAI has released new AI-generated mathematical results, along with proof formalisations, reasoning summaries and compute ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

If mathematicians have no reason to pursue the mysteries of their field, the rest of us will stumble into a less certain ...

While OpenAI’s latest math proofs aren’t immediately comprehensible to the vast majority of humans, they could soon end up being used to ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...