Unique-Factorization Equation HomePage

On the Unique-Factorization Equation within Prime Number Systems

by Frank C. Fung ( 1st published in October, 2012. )

Top Of Page

go to Table Of Content below

Summary for the Paper :

Table of Content

Table of Content :

Table Of Content
Part I --- Introduction and Preliminaries
Section IIntroduction
Section IIA Statement of Objectives
Part II --- Setting up the Equation
Section IIISetting up the [ 412 Empty Bins ]
Section IVThe a-priori Assumptions and the [ Start-Off Position ]
Section VSetting up the various { Input Strings of 412-elements }
Section VIKnocking-off the [ Non-Prime Numbers ]
Section VIIAn Example on Knocking-off [ Non-Prime Numbers ]
Section VIIIThe { Output Strings of 412-elements }
Section IXSetting up the Equation
Part III --- Looking at the Short-Cut to the Solution
Section XShort Cut #1 - [ 49 = 7 x 7 ]
Section XIShort Cut #2 - [ 1543 over 7 ]
Section XIIShort Cut #3 - Using [ Modulo 210 ] in lieu
Part IV --- Using Product-Of-Primes as the Segregators on the [ Number Line ]
Section XIII{ Product-of-Primes } as the Segregators on the [ Number Line ]
Part V --- Concluding Remarks
Section XIVConcluding Remarks

go to Top Of Page

go to the 1st section : Section I - Introduction

return to the Title Paper : An Approach to the Structural Integrity of Prime Number Systems

return to FCF's HomePage

Original dated 2012-10-08