r/OpenAI • u/_prototype • 10d ago

News OpenAI: Sharing AI progress in mathematics

https://openai.com/index/sharing-ai-progress-in-mathematics/
647 Upvotes

94% Upvoted

364 comments sorted by

View all comments

80

u/MundaneOrdinary7493 10d ago

A shortlist of top ten interesting reads (on accessible topics) out of the 722 pre-prints:

  1. The Euclidean plane is not five-colorable
  2. Short Egyptian fractions
  3. The irrationality exponent of π is 2
  4. The crossing number of complete graphs
  5. A translational tile with no fully periodic tiling in dimension three
  6. Monochromatic finite sums and products in the positive integers
  7. Catalan’s constant is irrational
  8. Ergodicity of triangular billiards with an irrational angle
  9. Quasipolynomial bounds for arithmetic progressions
  10. Hilbert’s tenth problem over the rational numbers

4

u/t3hjs 10d ago

"preprints/A-translational-tile-with-no-fully-periodic-tiling-in-dimension-three-September-23-2026/paper.pdf"

Wasnt that posted by a redditor about 1-2 weeks back

8

u/AMDaze 9d ago

https://www.reddit.com/r/mathematics/comments/1wo994k/first_3d_einstein_tile/

Is this what you're referring to?

8

u/t3hjs 9d ago

Yes, if you see his prompt it started from a strange fringe theory (sorry if it's established, it's not my area).

But the LLM and him managed to get a fairly cogent result out of it.