Two definitive methods for revealing all the PRIME numbers

~A MathspeedST Supplement~

*Statement*

*Gather the NO-PRIMES**6yx+-y**Remains are the PRIMES*

How can a deceptively simple matrix grid square give us:

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

2. Pythagorean Triples (PTs);

3. Primes (P) vs. No-Primes (NP)?

The **BIM** (**BBS-ISL Matrix**) does that!

What started as the invention/discovery of the **ISL** matrix — a simple grid of natural Whole Integer Numbers (WIN) — has led to an unforeseen connection between the **ISL** — PPTs — PRIMES.

The **BIM** is an infinitely expanding matrix where every cell within the grid is uniquely occupied by a WIN that is itself simply the difference between its horizontal and vertical intersection values of the main, Prime Diagonal (PD).

The PD mirror divides the grid into symmetrical halves. The PD is key as it consists solely of the squares of the Axis numbers (1,2,3,...) as A^{2} = PD.

In fact, drop vertically down from any PD squared number until you intersect with its squared complement and you will have landed on a Primitive Pythagorean Triple (PPT) row, with *a*^{2} + *b*^{2} culminating with *c*^{2} where that row now intercepts horizontally with the PD, giving *a*^{2} + *b*^{2} = *c*^{2}.

Repeating this will identify all the PPTs.** ** But wait! Now divide every Inner Grid (IG) cell value by 24 and you will generate a criss-crossing diamond grid overlay pattern with almost magical properties!

The

• those ÷3 that are never PPT, never PRIMES =

• those NOT ÷3 that PPTs and PRIMES are

exclusively found on =

The reason the ARS is plural is because there are two ODD Axis rows — AR — in each ARS.

These two (2) ODD Axis AR alternate with an ODD Axis NON-AR giving the (NON-AR)—AR—AR—(NON-AR)—AR—AR—(NON-AR)... pattern. Basically for every ÷3 row, one has two NOT ÷3 rows.

This becomes important as the ÷3/NOT ÷3 pattern is key to identifying the

This has culminated — at least at this point in this exciting mathematical journey — in two (2) simple methods for generating ALL the NP:

1. Algebraic: *NP = 6

2. Algebraic Geometry: where it all began on the

Both methods nicely dovetail directly on the

*NP = 6

The regular

Looking at the

Now the really interesting part of all of this is all the

One — take your pick — is simply the negative space of the other. If we call the PRIMES the positive space, then their

When visualizing the PRIMES vs. NO-PRIMES on the

Yes, a deceptively simple matrix grid square (

1.

2. Pythagorean Triples (PTs);

3. Primes (P) vs. No-Primes (NP)!

~~~

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.

Excerpt From: Reginald Brooks. “PRIMES vs NO-PRIMES...” iBook.

Platforms: This is a multi-touch, interactive ebook made with iBooks Author and published in the Apple iBookstore. 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 PRIMES vs NO-PRIMES*

(NOTE: iBooks 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**

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