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https://github.com/allen-proxmire/prime-square-difference

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 but nontrivial signature within the prime sequence.
https://github.com/allen-proxmire/prime-square-difference

delta-alpha geometry numbertheory prime-numbers second-order squares triangles

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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 but nontrivial signature within the prime sequence.

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