No New Perfect Number or Mersenne Prime; Unverified Prime Formula Found — E8 Intelligence Research

FINDING: No new perfect number or Mersenne prime discovery; the search returns expository videos and a non-peer-reviewed preprint claiming a prime-generating formula. | MATH: Euclid-Euler theorem: If \(2^p-1\) is prime (Mersenne prime), then \(2ᵖ⁻¹(2^p-1)\) is an even perfect number. The preprint proposes \(P = 6ᵐ⁺¹ · N - 1\) as prime for certain \(N, m\) with modular constraints, but lacks rigorous proof or verification. | CONNECTION: No geometric harmony, base-60, or crystallographic symmetry found. Perfect numbers relate to triangular numbers (geometric shape) but no deeper ratio connection. | DEPTH: 2 — The preprint is unverified; the known theory (Euclid-Euler) is classical and well-understood. No new insight into universe structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com