AI's Riemann result has a ceiling. A human just found it.
Автор: HexaValuation
Загружено: 2026-10-14
Просмотров: 34642
Описание:
Two days after OpenAI posted its quasi-Riemann proof (no zeros of zeta past real part 7/8), Purdue mathematician Baiying Liu posted an improvement: 0.875 to 0.874957. Tiny, but it says two big things. The AI's result is solid enough to build on, and the same paper proves this method, as set up, has a ceiling. We cover the week since the release: three withdrawn papers (none about zeta), repairs, Lean checks, what number theorists are saying, and why reaching the Riemann hypothesis itself will take new ideas.
Part 1 (what OpenAI claimed): • Did AI just crack the Riemann hypothesis? ...
Chapters:
0:00 Intro
0:47 Quick recap
1:50 The week
2:56 Lean is not the paper
3:58 What experts say
5:07 The ceiling
7:06 How math gets done
8:17 What to watch
Important: The Riemann hypothesis remains open. The quasi-Riemann result has not completed peer review. Liu's optimality result applies within his specified system of estimates; he notes it does not exclude improvements from stronger analytic estimates.
Sources:
Baiying Liu, "Improved zero-free half-planes for the quasi-Riemann hypothesis," arXiv 2610.12234 (v1 Oct 8, v2 Oct 12, 2026): https://arxiv.org/abs/2610.12234
OpenAI math repository and change history (Oct 7, 2026): https://github.com/openai/math/blob/m...
OpenAI math README: https://github.com/openai/math
Scientific American, "The most exciting claims from OpenAI's heap of new proofs" (Oct 8, 2026): https://www.scientificamerican.com/ar...
TechCrunch, "OpenAI's math solutions aren't meeting the field's standards yet" (Oct 8, 2026): https://techcrunch.com/2026/10/08/ope...
Proofs and Prompts, "100+ reactions to 100+ solutions" (Oct 8, updated Oct 13, 2026): https://proofsandprompts.com/2026/10/...
Images: Riemann portrait is public domain via Wikimedia Commons. GitHub and arXiv images are our captures of the public pages.
About the host: I studied mathematics in college and graduated magna cum laude.
Would you call a 0.00004 improvement progress? Tell me in the comments.
#HexaValuation #RiemannHypothesis #AI #Math #OpenAI
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