A Stacked–Residue Prime Prediction Sieve
Year: 2025
Type: article
Abstract: We formalize a prime–prediction sieve based on stacked residues: an incremental, primorial–layered construction that generates only those integers that survive divisibility by all primes up to a moving base, while preserving a deterministic two–adic ordering for locality and near–monotone drift. Each layer lifts residue classes via the Chinese Remainder Theorem (CRT), culls composites by the next base prime, and streams a candidate sequence in which every prime p beyond the base appears exactly once before any verification step. This differs from a plain wheel sieve by (i) explicit CRT lifting (stacking), (ii) an ordering keyed by two–adic valuation v2(·) to improve traversal, and (iii) a memory–light, restartable stream form suited to hardware/topological layouts. We prove correctness of coverage/uniqueness, give algorithms, and include a worked miniature example
Author: "WildFacts" Rubendall, C. Mike
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7078728333
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