A Survey of Mathematics' Unsolved Frontiers: From Collatz to the Millennium Problems — E8 Intelligence Research

FINDING: A cluster of popular expositions on unsolved problems (Collatz, Millennium Prize problems, oldest open problems) — no new mathematics, but a survey of the field's frontier. MATH: Key problems referenced: Collatz conjecture (T (n) =n/2 if even, 3n+1 if odd; no cycle other than 4→2→1 proven) ; Riemann hypothesis (ζ (s) =0 ⇒ Re (s) =1/2) ; P vs NP; Navier–Stokes existence/smoothness; Yang–Mills mass gap; Birch–Swinnerton-Dyer (L (E, 1) =0 ⇔ rank>0) ; Hodge conjecture. No new constants or ratios derived. CONNECTION: None directly stated. However, Collatz's 3n+1 structure relates to modular arithmetic (mod 2), and the Riemann zeta's critical line Re (s) =1/2 is a symmetry axis — but no explicit golden ratio, base-60, or crystallographic link in the videos' summaries. The "oldest unsolved problem" (likely perfect numbers / Euclid–Euler) touches on Mersenne primes (2ᵖ−1) and even perfect numbers (2^p−1 (2ᵖ−1) ), which have a lattice-like divisibility structure but no direct 0. 618/1. 618 ratio Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com