BB(5) = 47,176,870 Resolved After 40-Year Distributed Search — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: BB(5) = 47,176,870 resolved after 40-year search via distributed "Busy Beaver Challenge" collaboration; function BB(n) defines maximum halting steps for n-state 2-symbol Turing machines, grows faster than any computable function, and encodes halting problem undecidability | MATH: BB(1)=1, BB(2)=6, BB(3)=21, BB(4)=107, BB(5)=47,176,870; Σ(n) (max 1s written) and S(n) (max steps) variants; BB(n) ∼ f_ω(n) in fast-growing hierarchy; BB(n) eventually dominates all provably total functions in PA, ZFC | CONNECTION: No direct geometric harmony ratios (φ, √φ, 1/φ) or base-60/crystallographic symmetries in values or growth; structural link only via ordinal indexing (ω, ε₀) in proof-theoretic analysis of computability boundaries | DEPTH: 9 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225448713