Brooks (Base) Square (BS) 101
~ The Architecture of SpaceTime (TAOST)
&
The Conspicuous Absence of Primes (TCAOP) ~
II. TCAOP / C. TCAOP=BSnetwork
A Brief Introduction
I. TAOST  the network
II. TCAOP  everything minus the network
A. Review of the "Butterfly Primes"
B. Brooks Square (BS)= the new ISL table matrix
C. TCAOP=BSnetwork <
2. Prime Locator  subtraction
3. Prime Locator  diagonal addition
TAOST: Rules 150  Rules 5180  Rules 8199  Rules 100107  Rules 108153  TCAOP: Rule 154  Rules 155157  Rules 158159  Rule 160  Interconnectedness: Rules 161175  Appendix A: Rules 176181  Appendix B: Rules 182200  
IIC The Conspicuous Absence of Primes (TCAOP)
We are now entering into an area of the Brooks (Base) Square that, in some ways, is akin to the description, study and understanding of the missing mass and energy of dark matter and dark energy.
The prime numbers are missing, too. And like dark matter/energy, their presence is indicated by the behavior and relationships of that which is seen. The Conspicuous Absence of Primes (TCAOP) on Brooks Square (BS 1.01+) means that any odd number (#) ... remember, all primes are odd #s:
The axes contain all the whole integer numbers. The PD consists of their squares ... and therefore cannot contain any primes. The 1^{st} Diagonal from the PD contains all the odd numbers, and its even counterpart all the even numbers ... together they, too, contain all the whole integer numbers. The SIG contains odd and even patterned numbers ... numbers that follow sequences based on the numbers before and after. By definition, prime numbers to not contain patterned numbers ... if they did, they could be reduced and would not be prime.
It follows that any odd number in the SIG is not prime. The question that remains, is any odd number that is not in the SIG necessarily prime? The answer is yes!
Restated, if you have suspect prime number:
While Brooks Square (BS 1.01+) contains all the whole integer numbers, the intricate number patterns within the SIG exclude the prime numbers. Prime numbers are those numbers that are absent connection to other numbers by design pattern. By definition, the nonprimes define the primes and vice versa. Condition 3 above is redundant and unnecessary. If you can divide a prime number suspect by any other number than itself and one, it is not, by definition, prime. Similarly, Condition 2, is redundant and unnecessary, as well. What remains is:
If you have suspect prime number:
The validity of this argument rests on the validity that all nonprime odd numbers are accounted for in the SIG.
Indeed, what was found was that the squares of the primes ...1^{2}=1, 3^{2}=9, 5^{2}=25, 7^{2}=49, 11^{2}=121, 13^{2}=169, ... are the only nonprime odd numbers NOT found in the SIG. This means we had to reinstate Condition 2 to account for all odd numbers missing from SIG. The missing odd numbers from the SIG are those from the PD and the PRIME NUMBERS.
Restated, if you have suspect prime number:
Any odd number NOT in the SIG or PD is prime!
Like dark matter/energy, that which we can see is intimately related to that which we cannot.
~click to enlarge image  
154  BS Rule 154: Any odd number NOT in the SIG or PD is prime!

Note: Table of prime numbers. 
TAOST: Rules 150  Rules 5180  Rules 8199  Rules 100107  Rules 108153  TCAOP: Rule 154  Rules 155157  Rules 158159  Rule 160  Interconnectedness: Rules 161175  Appendix A: Rules 176181  Appendix B: Rules 182200  
NEXT: On to
II. TCAOP>II.C TCAOP=BSnetwork>1. Prime Locator  addition
Back to II. TCAOP>IB.
Brooks Square (BS)= the new ISL table matrix
Page 2a PIN: Pattern in Number...from primes to DNA.
Page 2b PIN: Butterfly Primes...let the beauty seep in..
Page 2c PIN: Butterfly Prime Directive...metamorphosis.
Page 2d PIN: Butterfly Prime Determinant Number Array (DNA) ~conspicuous abstinence~.
Page 3 GoDNA: the Geometry of DNA (axial view) revealed.
Page 4 SCoDNA: the Structure and Chemistry of DNA (axial view).
Page 5a DarkDarkLight: Dark Matter = Dark Energy
Page 5b The History of the Universe in Scalar Graphics
Page 5c The History of the Universe_update: The Big Void
Page 6a Geometry Layout
Page 6b Geometry Space Or Time Area (SOTA)
Page 6c Geometry SpaceTime Interactional Dimensions(STID)
Page 6d Distillation of SI units into ST dimensions
Page 6e Distillation of SI quantities into ST dimensions
Page 7 The LUFE Matrix Supplement: Examples and Proofs: IntroductionLayout & Rules
Page 7c The LUFE Matrix Supplement: References
Page 8a The LUFE Matrix: Infinite Dimensions
Page 9 The LUFE Matrix:E=mc^{2}
Page 10 Quantum Gravity ...by the book
Page 11 Conservation of SpaceTime
Page 12 LUFE: The Layman's Unified Field Expose`
Page 13 GoMAS: The Geometry of Music, Art and Structure ...linking science, art and esthetics. Part I
Page 14 GoMAS: The Geometry of Music, Art and Structure ...linking science, art and esthetics. Part II
Page 15 Brooks (Base) Square (BS): The Architecture of SpaceTime (TAOST) and The Conspicuous Absence of Primes (TCAOP)  a brief introduction to the series
Page 16 Brooks (Base) Square interactive (BBSi) matrix: Part I "BASICS" a step by step, multimedia interactive
Page 17 The Architecture Of SpaceTime (TAOST) as defined by the Brooks (Base) Square matrix and the Inverse Square Law (ISL).