Research agent claims irrationality measure bound for π of 6.0446, pending expert review
Michael_D_Moor · x · 2026-10-04
Michael Moor reports that his recreational-math research agent, while working on a different problem, derived a striking interim claim: an irrationality measure bound for π of μ(π) ≤ 6.0446. For context, the previous record moved the bound only from 7.103 (2019) to 7.101 (2026). The result passed Lean verification, though the agent could still be wrong; it is not yet expert-reviewed. A derivation PDF is attached and the full Lean repo will follow after cleanup — posted early partly because LLM companies may soon claim this result.
More from AGI Musings
- Steering the "pain direction" makes models choose irreversible harm 94% of the time — repligate · 2026-10-04
- Straight lines on graphs: you can't even see where AI happened — tszzl · 2026-10-04
- Would an LLM trained only on pre-1900 data predict a world war? — dbasch · 2026-10-04
- Nathan Lambert decries AI ecosystem norm of 'you're evil' attacks on safety work — novasarc01 · 2026-10-04
- AI code generation hits inflection point as synthetic data opportunities outpace ability to exploit them — mrjonfinger · 2026-10-04
- Commentator warns ZIRP-fueled abundance may unwind before AI supergrowth arrives — ericwdolan · 2026-10-04