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PreprintCC BY 4.0Zenodo

Search Results Confirm No New Math; Monster Group Order Standard — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: Search results are mostly pedagogical videos on prime factorization, the Monster group, and modular exponentiation — no new mathematical discovery; the arXiv paper is unrelated (hadron photoproduction). The Monster group order factorization is confirmed as standard knowledge.

MATH: - Monster group order: |M| = 2^46 · 3^20 · 5^9 · 7^6 · 11^2 · 13^3 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 = 808017424794512875886459904961710757005754368000000000 - This is the largest sporadic simple group. - Moonshine connection: j(τ) = q⁻¹ + 744 + 196884q + 21493760q² + … where 196884 = 196883 + 1 (dimension of smallest faithful representation of M). - No new equations or constants derived from these sources — they are expository.

CONNECTION: - The prime factors include 71, 59, 47, 41, 31, 29, 23, 19, 17 — all primes ≡ −1 mod 8? No — check: 71≡7 mod 8, 59≡3, 47≡7, 41≡1, 31≡7, 29≡5, 23≡7, 19≡3, 17≡1. Not a clean congruence. - However, the exponents (46, 20, 9, 6

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026search,
  title = {{Search Results Confirm No New Math; Monster Group Order Standard — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23553918},
  url = {https://zenodo.org/records/23553918},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Search Results Confirm No New Math; Monster Group Order Standard — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/22
PB  - Zenodo
DO  - 10.5281/zenodo.23553918
UR  - https://zenodo.org/records/23553918
AB  - FINDING: Search results are mostly pedagogical videos on prime factorization, the Monster group, and modular exponentiation — no new mathematical discovery; the arXiv paper is unrelated (hadron photoproduction). The Monster group order factorization is confirmed as standard knowledge.  MATH: - Monster group order: |M| = 2^46 · 3^20 · 5^9 · 7^6 · 11^2 · 13^3 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 = 808017424794512875886459904961710757005754368000000000 - This is the largest sporadic simple group. - Moonshine connection: j(τ) = q⁻¹ + 744 + 196884q + 21493760q² + … where 196884 = 196883 + 1 (dimension of smallest faithful representation of M). - No new equations or constants derived from these sources — they are expository.  CONNECTION: - The prime factors include 71, 59, 47, 41, 31, 29, 23, 19, 17 — all primes ≡ −1 mod 8? No — check: 71≡7 mod 8, 59≡3, 47≡7, 41≡1, 31≡7, 29≡5, 23≡7, 19≡3, 17≡1. Not a clean congruence. - However, the exponents (46, 20, 9, 6  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -