Prime Randomness Questioned in 2025 Number Theory Video Titles — E8 Intelligence Research

FINDING: The video titles indicate a cluster of number-theory expositions and 2025 breakthroughs, but no single new theorem is extractable from titles alone; the strongest signal is the claim that primes may not be random, and the "discoveries that shouldn't exist" theme. | MATH: No explicit equations, constants, or ratios are given in the titles. The "primes not random" video likely concerns prime gaps, the Hardy–Littlewood conjectures, or the Erdős–Kac law — but without content, only the *existence* of such a claim is confirmed. The "oldest unsolved problem" is almost certainly the Goldbach conjecture (every even integer >2 is sum of two primes) or the twin-prime conjecture (infinitely many p, p+2 prime). | CONNECTION: No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) appear in titles. However, the "bridge between number theory and complex analysis" video likely references the Riemann zeta function ζ(s) = Σ n⁻ˢ, whose nontrivial zeros lie on Re(s)=1/2 — a symmetry line that has Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com