Prime Number Systems HomePage
On Prime Number Systems and Core Structural Pattern Propogations
by Frank C. Fung ( 1st published in October, 2012. )
Top Of Page
go to Table Of Content below
Summary for the paper :
In this 1st paper in a series of 6 papers :
We shall explain :
what do we mean by the term [ Prime Number Systems ] , and
and demonstrate :
how Structural Patterns arising from [ prime numbers ] may propagate into the different { categories of composite numbers } .
Table of Content
Table Of Content
Part I --- Introduction and Preliminaries
Section I
Introduction
Part II --- Looking at the different [ Prime Number Systems ]
Section II
The [ All Natural Prime Number System ]
Section III
The [ Modulo-30 Prime Number System ]
Section IV
Other [ Prime Number Systems ]
Section V
The Reasons for using different modulo's for the [ Prime Number Systems ]
Part III --- Core Structural Pattern Propagations via [ 7 / 17 / 37 / 47 ]
Section VI
Selectig a Core Strutural Pattern for our Demonstrations
Section VII
Derived Structural Patterns for [ Category II Composite Numbers ]
Section VIII
Derived Structural Patterns for [ Category III Composite Numbers ]
Section IX
Derived Structural Patterns for [ Category IV Composite Numbers ]
Section X
Derived Structural Patterns for [ Category V Composite Numbers ]
Section XI
A Quick Comparison of the Structural Frames
Section XII
The Range for each Category of Composite Numbers
Part IV --- Symmetry and Counter-Flow in Core Pattern Propagations
Section XIII
Identifying the Core Structural Pattern for [ 7 / 17 / 37 / 47 / 67 / 97 ]
Section XIV
[ Category V ] vs. [ Category I ] Patterns arising from [ 7 / 17 / 37 / 47 / 67 / 97 ]
Section XV
[ Category IV ] vs. [ Category II ] Paterns arising from [ 7 / 17 / 37 / 47 / 67 / 97 ]
Section XVI
[ Category III ] Patterns arising from [ 7 / 17 / 37 / 47 / 67 / 97 ]
Section XVII
Summarizing on [ Symmetry about a Center-Line ]
Section XVIII
[ Category VI ] Patterns arising from [ 7 / 17 / 37 / 47 / 67 / 97 ]
Part V --- Concluding Remarks
Section XIX
Concluding 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