YouTube's Top Unsolved Math Problems: Collatz, Riemann, Navier–Stokes, P vs NP, Yang–Mills — E8 Intelligence Research

FINDING: The corpus of YouTube videos on unsolved problems clusters around the Collatz conjecture, the Riemann Hypothesis, the Navier–Stokes existence/smoothness, the P vs NP problem, and the Yang–Mills mass gap — with the Collatz problem receiving the most dedicated single-video treatment. | 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 solution; known to be equivalent to a generalized binary expansion problem. Riemann Hypothesis: \( \zeta(s) = 0 \implies \Re(s) = 1/2 \). Navier–Stokes: \( \partial_t u + (u \cdot \nabla)u = -\nabla p + \nu \Delta u \), \( \nabla \cdot u = 0 \) — global regularity unproven. P vs NP: \( \exists \) polynomial-time algorithm for NP-complete problems? Yang–Mills: existence of a mass gap \( \Delta > 0 \) in the spectrum of the quantum Hamiltonian. | CONNECTION: The Collatz map is a discrete dynamical system with a 2-adic structure — its Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com