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How do we go from the simple grid of the BIM (BBS-ISL Matrix) to identifying the PRIMES?


1. The BIM is a symmetrical grid—divided equally down its diagonal center with the Prime Diagonal (PD)—that illuminates the Number Pattern Sequence (NPS) of the Inverse Square Law (ISL) via simple, natural Whole Integer Numbers (WIN).


2. The BIM Axis numbers are 1,2,3,.. with 0 at the origin.


3. The Inner Grid (IG) contains EVEN and ODD WIN, but except for the 1st diagonal next to the PD—a diagonal that contains ALL the ODD WIN—there are NO PRIMES (NO-PRIMES, NP) on the SIG (Strict Inner Grid).


4. The PD WIN are simply the squares of the Axis WIN.


5. ALL the IG WIN result from subtracting the horizontal from the vertical intersection of the PD.


6. Dropping down a given PD Squared WIN (>4) until it intersects with another squared WIN on a Row below, will ALWAYS reveal that Row to be a Primitive Pythagorean Triple (PPT) Row, whose hypotenuse,
c, lies on the intersecting PD. ALL PPTs may be identified this way.

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PRIMES_vs_NO-PRIMES

By RBrooks

Identifying the PRIMES (P) from the NO-PRIMES (NP) from the pool of ODD numbers is a matter of separation, as one defines the other. Amongst a list of all the ODD numbers (≥3), one may reveal ALL the PRIMES (P) simply be identifying ALL the NO-PRIMES (NP). Two new methods: 1.) algebraic and 2.) algebraic geometry — identify ALL the NP from any list of sequential ODD numbers.