ROBERT EDWARD GRANT PRESENTS
Formal Proof of the Digital Root-9 Invariance of Reciprocal Periods
in Prime and Quasi Prime Numbers via 24-Fold Modular Symmetry
Abstract
This paper presents a formal mathematical proof that all prime numbers greater than 3 and all quasi-primes yield reciprocals with repeating decimal periods whose digits sum to a multiple of 9, and whose digital root is exactly 9.
The phenomenon is proven to result from modular arithmetic and periodicity constraints, particularly the order of 10 modulo n, and is shown to correspond to the 24-fold geometric symmetry found in the icositetragon (24-gon) and the cuboctahedron.
These geometric forms express the modular harmony encoded in the repeating decimal expansions, which reflect and preserve digital root 9 behavior across the entire class of primes >3 and quasi-primes.
Author: Sir Robert Edward Grant
Read the Paper: Formal Proof of the Digital Root-9 Invariance of Reciprocal Periods in Prime and Quasi Prime Numbers via 24-Fold Modular Symmetry
Resources
Learning Materials
Elements offered to continue your learning of the 24 precepts. Dive into Code X or read one of Robert's many books to enliven your mind.
Watch Robert’s TV show Code X streaming on GAIA and Amazon Prime. Watch now
ThinkTank Podcast, join the discussion with incredible and diverse guests from around the globe. Visit the Podcast
Online Courses, study with Robert Edward Grant. Online Courses
Books, Robert has written several incredible books covering the topics of Mathematics, Philosophy and Trancendence. Browse Books
The Real da Vinci Code, the profound work of Robert Edward Grant and Alan Green decoding The Vitruvian Man. Watch now
