Unsolved Math Mysteries: Collatz, Riemann, and Legendary Conjectures — E8 Intelligence Research

FINDING: The video set covers the Collatz Conjecture, the Riemann Hypothesis, the Poincaré Conjecture, the Goldbach Conjecture, the Erdős–Straus Conjecture, and the "3x+1" family of problems — all unsolved or recently solved, with the Collatz Conjecture as the central recurring theme. | MATH: Collatz map: \( T(n) = n/2 \) if \( n \) even, \( T(n) = 3n+1 \) if \( n \) odd. Conjecture: \( \forall n \in \mathbb{N}, \exists k: T^k(n) = 1 \). No closed-form proof exists; known verified up to \( 2^{68} \approx 2.95 \times 10^{20} \). Riemann Hypothesis: \( \zeta(s) = 0 \implies \Re(s) = 1/2 \). Poincaré Conjecture (proven by Perelman): every simply connected closed 3-manifold is homeomorphic to \( S^3 \). Goldbach: every even integer \( > 2 \) is sum of two primes. Erdős–Straus: \( 4/n = 1/x + 1/y + 1/z \) for \( n > 1 \). | CONNECTION: The Collatz map is a discrete dynamical system with no known invariant; however, the stopping time distribution shows a logarithmic scaling consistent with \ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com