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An incremental residue‑class algorithm for generating prime numbers in C++. Provides a minimal‑state prime generator based on a novel residue‑class method operating without division, multiplication, or explicit modulo computations. Suitable for number‑theory applications, embedded environments, and streaming scenarios.
A class-wide exact-two obstruction for modulus 9 in finite odd covering systems, established through a computer-assisted mathematical proof with exact certificates and reproducible verification.