Mathematical analysis confirms the largest known prime number and proposes a prime generation formula, suggesting computational limits for prime verification.
FINDING: No new perfect number or Mersenne prime discovery in these results; largest known prime (2^136279841 - 1) confirmed, and a claimed theorem for prime generation via 6^(m+1)*N - 1 is presented. | MATH: Largest prime: 2^136279841 - 1 (41,024,320 digits). Claimed theorem: P = 6^(m+1)*N - 1 is prime for 1 < N ≤ 13, N ≠ 8, and N ≠ i^(m+1) mod (6i+1) for i ∈ Z⁺, m odd positive integer. | CONNECTION: No direct geometric harmony. The form 6^(m+1) relates to base-6, not base-60. No ratios 0.382, 0.618, 0.786, 1.618, 2.618 appear. No crystallographic symmetry or root system link. | DEPTH: 2 — The largest prime finding is a computational record, not a structural insight. The claimed theorem is unverified and appears to be a preprint with limited scope; no profound mathematical structure revealed. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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