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1. delta-alpha-zeta-zero delta-alpha-zeta-zero Public

   this project shows how a signal derived from the primes scales to zeta zeros.

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2. alpha-ceiling_twin-primes alpha-ceiling_twin-primes Public

   A central inequality shows that between successive twin prime pairs, the alpha angle of any intervening non-twin prime triangle cannot exceed the alpha angle of the preceding twin. We call this bou…

   Python

3. prime-square-difference prime-square-difference Public

   The identity (pn+2)^2 = 12x + (pn)^2 exhibits a structured modular constraint based on the arithmetic form of primes. The resulting integer $x$ has only three possible last digits, forming a simple…

4. psd-gap-bias psd-gap-bias Public

   the quantity PSDn/pn serves as a natural estimator for the “skip-one” prime gap Gn = pn+2 − pn.

5. seven-sisters seven-sisters Public

   The Seven Sisters: Prime Generation based on the Form 2p + k

   Python

6. prime-geometry prime-geometry Public

   A unified mathematical framework built around geometric objects generated by consecutive primes — including Prime Triangles, PSD identities, Δα structure (DAZZ), Linear Laws, Gap-Bias analysis, sel…

   Python