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 \(6ᵐ⁺¹N - 1\) with restrictive conditions, but its validity is unverified and likely flawed. | MATH: Euclid-Euler theorem: Even perfect numbers \(P = 2ᵖ⁻¹(2^p - 1)\) where \(2^p - 1\) is Mersenne prime. Claimed test: \(P = 6ᵐ⁺¹N - 1\) prime for \(1 < N ≤ 13\), \(N ≠ 8\), \(N ≠ iᵐ⁺¹ (6i+1)\), \(i ∈ Z^+\), \(m\) 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 \(6ᵐ⁺¹N - 1\) 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