Collatz and Navier–Stokes: The Only Open Problems in This Dataset — E8 Intelligence Research

FINDING: No verified instance of an unsolved live competition problem exists in this dataset; the only genuinely open problem cited is the Collatz Conjecture, with Navier–Stokes appearing as a contested AI claim. | MATH: Collatz map T(n) = n/2 if n ≡ 0 (mod 2); T(n) = 3n+1 if n ≡ 1 (mod 2). Conjecture: ∀n∈ℕ⁺, ∃k: Tᵏ(n)=1. Verified computationally to ≈2⁶⁸. Stopping time for n=27 is 111 steps, reaching max 9232. Navier–Stokes: ∂u/∂t + (u·∇)u = −∇p/ρ + ν∇²u, ∇·u = 0; Millennium Prize, $1M, open in 3D. | CONNECTION: None supported by evidence. No 0.382/0.618/0.786/1.618/2.618 ratios, no base-60, no crystallographic/root-system/lattice structure appears in any cited source. The 3n+1 map has a known heuristic "expected" multiplicative drift of (3/2)^(1/2) ≈ 1.2247 per two steps, and the 3-adic/2-adic mixing is a dynamical-systems object, not a geometric-harmony object. | DEPTH: 3 Precise breakdown: 1. Key mathematical insight: The dataset contains no documented case of a live competition p Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com