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OpenAI drops AI answers to more than 370 math problems

OpenAI drops AI answers to more than 370 math problems

3 Key Points

  1. What happened

    OpenAI published AI-generated full or partial solutions to more than 370 outstanding math problems on GitHub, including progress on three Millennium Prize problems, using an unreleased internal model that averaged about three hours of computing time per solution.

  2. Why it matters

    The volume stunned mathematicians, with some seeing huge new areas to explore, while others called the approach an assault on mathematics as a human discipline and warned it could discourage students and funding.

  3. What to watch

    OpenAI followed some but not all of an independent advisory group's publication recommendations, which called for papers in traditional format, model names, prompts, reasoning steps and compute cost disclosures. The group reaffirmed its recommendations Tuesday and said it is up to the math community to assess compliance.

WHO IT HITSMathematics departments and PhD students face a field-wide rethink on what contributions are rewarded and how mathematicians are trained. Funding organizations could re-evaluate support if AI is perceived to have 'solved math,' as one professor cautioned.

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Context & Analysis

OpenAI's mass publication of over 370 AI-generated math solutions arrives after weeks of controversy. When the company previously announced an AI solution to the Navier-Stokes equations, two mathematicians accused OpenAI of feeding their in-progress work into its model. OpenAI denied this, saying its training data cutoff preceded their use of its Codex product. In response to that criticism, OpenAI formed an independent advisory group on mathematics and AI at the Institute for Advanced Study, which released recommendations for publishing AI-generated proofs. OpenAI followed some but not all of those steps in its latest release, and the advisory group reaffirmed its recommendations while noting discussions with OpenAI were constructive.

The results have split mathematicians. Some, like University of Toronto professor Dan Litt, are enthusiastic, seeing new areas to explore and comparing the feeling to learning to fly. Others, like UCLA's Terence Tao, argue that solving problems so quickly robs the field of its future by discouraging students and devaluing the process of arriving at solutions. Tao said the mass release marks the end of 'Math 1.0' and called for a 'Math 2.0' era that decenters raw problem solving.

The stakes hinge on whether the mathematical community can adapt its norms around credit, training, and exposition fast enough to absorb AI-generated results. For mathematicians, funding bodies, and students, the test is whether AI becomes a tool that expands human exploration or an accelerant that erodes the field's human core.

FAQ
How long did OpenAI's model take to solve each problem?
OpenAI said that on average the model took about three hours of computing time to arrive at each solution.
Did OpenAI fully solve any Millennium Prize problems?
In the most recent batch, OpenAI said it had made progress on three other Millennium Prize problems but had not fully solved them.
What did the independent advisory group recommend for publishing AI-generated proofs?
It recommended that AI-generated proofs follow traditional research paper conventions, and that companies disclose the model used, prompts, chain of thought, time to solution, compute cost, why the problem was targeted, and how many comparable problems failed.

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