A NEW Pattern reveals how every EVEN is made of 2 PRIMES

~A MathspeedST Supplement~

*Statement*

*Gather the EVENS**Steps are P2-A**A=half E*

Here’s the thing. Amongst a myriad of other connections, there exists an intimate connection between three number systems on the **BBS-ISL Matrix (BIM)**:

- The Inverse Square Law (
**ISL)**as laid out in the**BIM**; - PTs — and most especially PPTs — as laid out on the
**BIM**; - The PRIME numbers —
**PRIMES**— as laid out on the**BIM**.

The **BIM** is the FIXED GRID numerical array of the **ISL**.

PTs are the Pythagorean Triples and PPTs are the Primitive Pythagorean Triples. They have been extensively covered in the **TPISC** (The Pythagorean-Inverse Square Connection) series as: **TPISC I Basics**, **TPISC II Advanced**, **TPISC III Clarity**, **TPISC IV Details. (See links at bottom.)**

The **PRIMES vs NO-PRIMES** (2019) was covered earlier.

The original **MathspeedST** (2009-13) work, **Brooks (Base) Square**** **(2009-11), that started this journey, was divided in to two sections:

I. TAOST (The Architecture Of SpaceTime);

II. TCAOP (The Conspicuous Absence Of PRIMES).

You see, other than the natural whole numbers that form the **BIM** Axis’ and the standard 1st Parallel Diagonal (containing ALL the ODDs (≥3), there are NO PRIMES on the **BIM**.

This is the basis of the **PRIMES vs NO-PRIMES** work.

Yet, convert that same 1st Parallel Diagonal to ALL EVENS (≥4, by adding 1 to each former ODD), and now the **BIM** reveals the stealthily hidden PRIMES relationship in forming symmetrical pairs of PRIMES that are ALWAYS equal distance (STEPS) from ANY given EVEN # divided by two.

All this occurs on the **BIM** Axis. The apex of the 90° Right-angled, isosceles triangle so formed lies on a straight line path from the EVEN/2 to the given EVEN # located on that converted 1st Parallel Diagonal. This relationship is geometrically true and easily seen on the **BIM**.

Extracting those PRIME-Pair sets (PPsets) for each given EVEN forms the basis for the PTOP — Periodic Table Of PRIMES.

While “hidden” on the **BIM**, it clearly forms a definitive pattern on the PTOP: for EVERY 3+PRIME PPset that forms the 2nd column on the PTOP — acting like a bifurcation point — a “Trail” of PPsets forms a zig-zagging diagonal pointing down and to the right.

These are ALWAYS — much like a fractal — added with the SAME PRIME Sequence (3,5,7,11,13,17,19,23,29,31,37,...).

When you read a given horizontal line from left to right across the PTOP, you see that each given PPset that was contributed by a PPset Trail, adds up — composes — its respective EVEN. The sum (∑) number of PPsets that form its EVEN is totaled in the last column.

The fractal-like addition of one new, additional PRIME Sequence PPset to each subsequent “Trail” formed results in the overlapping trails growing at a rate that far, far exceeds the growth and incidence of the PRIME Gaps. This ensures that there will always be at least one PPset that will be present to compose ANY EVEN.

The Goldbach Conjecture has been satisfied and a new PRIME pattern has been found.

Yes, a deceptively simple matrix grid square (**BIM**) can give us:

1. **Inverse Square Law** (**ISL**);

2. Pythagorean Triples (PTs);

3. **PRIMES** **(P)- Goldbach Conjecture**!

~~~

This is an additional supplement to the MathspeedST ebook.

Other titles include The Pythagorean-Inverse Square Connection (TPISC):

TPISC I: Basics

TPISC II: Advanced

TPISC III: Clarity and the Tree of Primitive Pythagorean Triples

TPISC IV: Details, DSEQEC and PRIMES.

PRIMES vs NO-PRIMES

Excerpt From: Reginald Brooks. “PTOP (Periodic Table Of PRIMES) and the Goldbach Conjecture.” eBook.

Platforms: This is a multi-touch, interactive ebook made with iBooks Author and published in the Apple Books. Currently, it requires an iPad, or OS X running on a Mac, and the free iBooks app to download and read.

Most of the same content is found online here on my website in the form of white papers and multi-media. HERE is the Media Center link.

*Selected SCREENSHOTS for PTOP (Periodic Table Of PRIMES) and the Goldbach Conjecture*

(NOTE: eBooks are available for reading on your Mac or iOS device.)

Artist Link in iTunes iBookstore: Reginald Brooks

~---

LINKS

TPISC I: Basics The Pythagorean — Inverse Square Connection ©2015, Reginald Brooks, Brooks Design. All rights reserved.

click HOME to return to the home page.

TPISC II: Advanced The Pythagorean — Inverse Square Connection ©2015, Reginald Brooks, Brooks Design. All rights reserved.

click HOME to return to the home page.

TPISC III: Clarity Tree of Primitive Pythagorean Triples (ToPPT) ©2017, Reginald Brooks, Brooks Design. All rights reserved.

click HOME to return to the home page.

MathspeedST: Leapfrogging LightspeedST FASTER than The Speed of Light ©2013, Reginald Brooks, Brooks Design. All rights reserved.

click HOME to return to the home page.

LightspeedST: Leapfrogging @ The Speed of Light ©2013, Reginald Brooks, Brooks Design. All rights reserved.

click HOME to go to the LightspeedST ebook home page.

~ MathspeedST: The Ubiquitous Information of Numbers white paper~ LightspeedST: Leapfrogging @ The Speed of Light

T H E U B I Q U I T O U S I N F O R M A T I O N O F N U M B E R S new media net.art project

~ MathspeedST: Leapfrogging Lightspeed FASTER than The Speed of Light MOVIES

The contents of

**Relevant White Papers by the Author**

**http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/arthry5.htm**

**titles and topics:**

**Page 5a:****Dark-Dark-Light: Dark Matter = Dark Energy (the inverse of) .****Page 5c:****The History of the Universe - update- "The Big Void" .****Page 6:****The LUFE Matrix.****Page 7:****The LUFE Matrix Supplement.****Page 9:****The LUFE Matrix: E=mc2****Page10:****Quantum Gravity..by the book****Page11:****Conservation of SpaceTime****Pages 12a-p: digitized version of the original 1985 L.U.F.E. manuscript****Page 12a:****LUFE: The Layman's Unified Field Expose`**

~Introduction-Contents-List of Figures~**Pages 15-19:****MathspeedST****Page 16:****Brooks (Base) Square interactive (BBSi) matrix: Part I: BASICS****Page 18:****Numbers Of Inevitability ~ Let's do a number on that!****Page 19:****AFPOP: A Fresh Piece of Pi(e)...and the √2, too...Fractal - Fractal - Fractal****Pages 20-27:****LightspeedST****Page 20:****LightspeedST: 1. 20 Questions****Page 21:****LightspeedST: 2. 20 Answers****Page 22:****LightspeedST: 3. Mechanics of ST****Page 23:****LightspeedST: 4. The Movie Script****Page 24:****LightspeedST: 5. The Movie****Page 25:****LightspeedST: 6. Links + References****Page 26:****LightspeedST: 7. Quark Portraits****Page 27:****LightspeedST: 8. Triad~ruminations****Page 28:****LightspeedST: the eBook (complementary to MathspeedST)**

**Page 29:****MathspeedST: the eBook (complementary to LightspeedST)****Page 30:****MathspeedST_The Ubiquitous Information of Numbers (complementary to LightspeedST)****Page 31:****TPISC: The Pythagorean — Inverse Square Connection: A MathspeedST Supplement****Page 32:****TPISC: INTRO to The Pythagorean — Inverse Square Connection: A MathspeedST Supplement****Page 37:****Time and Structure ~ with BBS-ISL Matrix, ISL, and TPISC****Page 40:****BIMtree-ToPPT_AREAS: 12 Easy Pieces****Page 43b:****TPISC_IV_Details: BIM + PT + DNA + Epstein-Barr Virus****Page 44:****TPISC_IV_Details: BIM + PT + Decagon (double Pentagons)****Page 45:****TPISC_IV_Details: Phi, Fibonacci, Pentagon Connections to the PTs****Page 46:****TPISC_IV_Details: BIM + Primitive Pythagorean Triples + the PRIMES****Page 47:****TPISC_IV_Details: DSEQEC (Double-Slit Experiment – Quantum Entanglement Conjecture, Part I of II)****Page 49:****TPISC_IV_Details: CaCoST — Creation and Conservation of SpaceTime (Part II of II)****Page 50:****TPISC_IV_Details: BIM: How to Make (with Spreadsheet App)****Page 51:****Big OUTLINE for TPISC IV: Details****Page 53:****TPISC_IV_Details: Simple Path from the BIM to the PRIMES****Page 54:****TPISC Artworks****Page 55:****PRIMES vs NO-PRIMES ebook****Page 56:****PRIME Gaps****Page 57:****PTOP: Periodic Table Of PRIMES and the Goldbach Conjecture****Page 58:****PTOP: Periodic Table Of PRIMES and the Goldbach Conjecture ebook in Apple Books****Page 59:****PRIMES Index PTOP: Periodic Table Of PRIMES, PRIMES Gap, PRIMES vs NO-PRIMES,...**

KEYWORDS TAGS: PRIMES, NO-PRIMES, BIM, algebraic, algebraic geometry, Active Row Sets, AR, ARS, NON-Active Row, Number Pattern Sequence, NPS, TPISC, The Pythagorean - Inverse Square Connections, Pythagorean Triangles, Pythagorean Triples, primitive Pythagorean Triples, non-primitive Pythagorean Triples, Pythagorean Theorem, Pythagorus Theorem, The Dickson Method, BBS-ISL Matrix, Expanded Dickson Method, r-sets, s-set, t-sets, Pair-sets, geometric proofs, MathspeedST, leapfrogging LightspeedST FASTER than the speed of light, Brooks (Base) Square- Inverse Square Law (ISL), BBS-ISL matrix grid, The Architecture Of SpaceTime (TAOST), The Conspicuous Absence Of Primes (TCAOP), A Fresh Piece Of Pi(e), AFPOP, Numbers of Inevitability,LightspeedST, Teachers, Educators and Students (TES), number theory, ubiquitous information, FASTER than the speed of light, primes, prime numbers, fractals, mathematics, Universe, cosmos, patterns in number.

Art Theory 101 / White Papers Index