Numberphile and Veritasium Videos on Classic Unsolved Math Problems — E8 Intelligence Research

FINDING: The search returns a set of Numberphile/Veritasium videos on classic unsolved problems (Hadwiger-Nelson, odd perfect numbers, Collatz, Catalan's conjecture, Josephus problem) plus one irrelevant arXiv paper on omnidirectional video quality. No new mathematical result is presented; the domain is pedagogical exposition of open problems. MATH: - **Hadwiger-Nelson**: Chromatic number of the plane, χ(ℝ²) ∈ [5, 7] (lower bound 5 proven by de Grey in 2018; upper bound 7 trivial via hexagonal tiling). Key constant: the Moser spindle (7 vertices, 11 edges) forces χ ≥ 4; the recent 5-chromatic unit-distance graph uses 1581 vertices. - **Odd perfect numbers**: If N is odd perfect, N = p^α · m², with p ≡ α ≡ 1 (mod 4). Lower bound: N > 10^1500 (Ochem–Rao). No equation solved; existence unknown. - **Collatz**: T(n) = n/2 if even, 3n+1 if odd. No closed form; known that almost all orbits reach 1 (Terras, Tao 2019: logarithmic density). - **Catalan's conjecture**: Only consecutive Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com