#132 - The Mathematician Who Beat OpenAI by Three Days. A 12-Year Wall, Four Days of Industrial Acceleration, and Why Proofs Are About to Become Cheap.

#132 - The Mathematician Who Beat OpenAI by Three Days. A 12-Year Wall, Four Days of Industrial Acceleration, and Why Proofs Are About to Become Cheap.

From The AI Cookbook Show by Malcolm Werchota by Malcolm Werchota

September 9, 2026 · 41 min · Episode 132

About this episode

The episode discusses a mathematician's breakthrough in prime number proofs and the implications of AI on knowledge professions.

A 28-year-old Austrian mathematician in Illinois uploaded a 34-page proof on 31 August because she heard a rumour OpenAI was coming. Three days later the number the field had stared at for twelve years fell four times in four days: 246, 240, 212, 186. She used no AI at all — not for the ideas, not for the code, not for the writing. This looks like an episode about prime numbers. It is an episode about your job. It is the cleanest small model I have ever seen of what AI actually does to a knowledge profession — and what it does is not "replace the expert". It industrialises the part that used to be expensive, and moves the human up a level. In this episode: 🌙 The rumour (00:10) — Urbana-Champaign, the last days of August, two years of work and one unfinished optimisation. Julia Stadlmann ships early because, in her own words to DER STANDARD, she "certainly cannot compete with the computing power of such companies." 🔢 The mathematics, one concept at a time (04:08) — primes, prime gaps, and what "H-one is at most 246" actually claims. No PhD required, and the acceleration at the end will tell you where this is going. 🪜 From Zhang to Maynard (10:19) — 70,000,000 to 4,680 to 600 to…

People in this episode

Host: Malcolm Werchota

Guest: Julia Stadlmann

Topics covered

  • mathematics
  • AI impact
  • prime numbers
  • knowledge professions
  • industrial acceleration

Keywords

  • prime numbers
  • AI
  • mathematics
  • Julia Stadlmann
  • industrial acceleration
  • knowledge professions
  • James Maynard

Mentioned in this episode

Books & works: DER STANDARD

Places: Illinois, Urbana-Champaign

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