Deterministic Composite Prediction via OPFORMS
Abstract
This work introduces a deterministic, constructive model for generating and certifying prime structure within a filtered arithmetic domain. Candidates are represented through an encoded normalization scheme, and composite structure is produced explicitly via ordered product generators (OPFORMS). Primality arises as a survivor property under monotone state evolution rather than through divisibility testing, factorization, or classical sieving. A predictive composite coverage invariant is established, showing that no encoded composite can persist below the algorithmic prediction frontier. All claims are restricted to the defined model and verified computational ranges.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories
Cryptography and Residue Arithmetic
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 19 January 2026
- Document type
- Preprint