The Canada Brief

Tech · 15 d ago

A plot of the Riemann zeta function

Conscious · CC BY 2.5 · Wikimedia Commons

OpenAI releases 722 math papers at once, and mathematicians question them

Open problems addressed

372 problems

The papers, produced largely by an unreleased AI model, address 372 open problems from algebra and geometry to theoretical computer science.

Some claim progress on the Riemann hypothesis and the Birch–Swinnerton-Dyer conjecture, two Millennium Prize Problems that each carry a US$1 million prize.

Background

OpenAI has already retracted three papers over an elementary error and amended several others whose mistakes invalidated their results.

What we know

  • 722 papers released
  • Three retracted, several amended
  • 300 main results formalized

Not yet

  • Whether the proofs hold up to expert review

OpenAI says it has formalized 300 of the main results with proof-checking software, but whether mathematicians will accept those checks is not yet clear.