BB(5) Resolved: Maximum Halting Steps = 47,176,870 — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The exact value of the 5‑state Busy Beaver function BB(5) has been determined, establishing a concrete upper bound on what any Turing machine can compute before halting. MATH: BB(5) = 47 176 870 (the maximum number of steps executed by any halting 5‑state, 2‑symbol Turing machine before termination). CONNECTION: No explicit link to geometric harmonics (φ‑ratios, base‑60, crystallographic symmetries) is reported in the supplied sources. DEPTH: 8 – The result resolves a long‑standing open problem in computability theory, providing a finite, non‑trivial benchmark that illustrates the sharp boundary between computable and non‑computable growth rates. 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: W7225558218