Unverified Primality Test for Numbers of Form 6^(m+1)N - 1 Likely Flawed — E8 Intelligence Research

FINDING: No new perfect number or Mersenne prime discovered; the arXiv preprint claims a novel primality test for numbers of form \(6^{m+1}N - 1\) with restrictive conditions, but its validity is unverified and likely flawed. | MATH: Euclid-Euler theorem: Even perfect numbers \(P = 2^{p-1}(2^p - 1)\) where \(2^p - 1\) is Mersenne prime. Claimed test: \(P = 6^{m+1}N - 1\) prime for \(1 < N \le 13\), \(N \neq 8\), \(N \neq i^{m+1} \mod (6i+1)\), \(i \in \mathbb{Z}^+\), \(m\) odd positive integer. No new constants or ratios. | CONNECTION: None. No geometric ratios (0.382, 0.618, 1.618, etc.), base-60, or crystallographic symmetries appear. The form \(6^{m+1}N - 1\) is arbitrary, not linked to known harmonic or lattice structures. | DEPTH: 2 — The YouTube videos are expository, not new research. The arXiv preprint is unsubstantiated and likely erroneous; no peer-reviewed advancement. The oldest unsolved problem (odd perfect numbers) remains untouched. No profound mathematical structure rev Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com