OpenAI says AI produced hundreds of new math results, some tied to Riemann hypothesis
In short
OpenAI announced on Oct 6 that it used artificial intelligence to obtain new results in mathematics, according to Sankei Shimbun, which cited US media as saying the results number in the hundreds and include work related to the unsolved Riemann hypothesis. Sankei reported that the AI used was an unreleased model still under development and that OpenAI consulted an external group of independent experts. Tokyo Shimbun and Nishi-Nippon Shimbun carried the claim in their headlines, but the documents give no detail on what the results are or whether they have been verified.
Why it matters
The claim adds to a run of announcements in which companies say AI has solved problems mathematicians have not, a trend the documents say has caused puzzlement and pushback within the mathematics community. As reported by business outlets, the episode also bears on how far unreleased commercial AI models are presented as producing new human knowledge.
Key facts
- OpenAI announced on Oct 6 that it had used AI to achieve new results in mathematics, Sankei Shimbun reported. [ 3 ]
- US media reported the number of results reached the hundreds, according to Sankei Shimbun. [ 3 ]
- The results span fields including algebra, number theory and theoretical computer science, and include items related to the unsolved Riemann hypothesis, Sankei Shimbun reported. [ 3 ]
- Sankei Shimbun reported that the AI used was an unreleased model under development at OpenAI. [ 3 ]
- OpenAI said it sought advice from an external, independent group of experts for the announcement, according to Sankei Shimbun. [ 3 ]
- OpenAI said in September that it had used AI to solve the Navier-Stokes equations, one of the Millennium Prize Problems, Sankei Shimbun reported. [ 3 ]
- Tokyo Shimbun and Nishi-Nippon Shimbun reported the OpenAI mathematics claim in their headlines, with Tokyo Shimbun saying some results may relate to the Riemann hypothesis. [ 1 , 2 ]
Confirmed by several sources
Still unclear
- What the individual mathematical results are, and whether they have been checked or accepted by mathematicians. Only Sankei Shimbun gives any detail, and it attributes the specifics to US media without naming them; the other two documents carry the claim only in their headlines, and the Tokyo Shimbun article body was not readable.
- Whether the unreleased AI model and the external expert group cited by OpenAI can be independently verified. This is stated by a single outlet, Sankei Shimbun, and is not corroborated by the other documents.
- The accuracy of the September claim that AI solved the Navier-Stokes equations. Mentioned by one outlet only, as background, with no further detail or confirmation.
What local media are saying
Timeline, local time
- OpenAI announces it used AI to obtain new results in mathematics, according to Sankei Shimbun. [ 3 ]
- Tokyo Shimbun publishes a headline reporting OpenAI's new mathematics results, saying some may relate to the Riemann hypothesis. [ 1 ]
- Nishi-Nippon Shimbun publishes a headline on the same claim. [ 2 ]
- Sankei Shimbun publishes a fuller report citing US media on the scale and fields of the results. [ 3 ]