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Background


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,...).


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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.