Fixed Modular Classification of Factor Residues for Semiprimes Modulo 90 (Version 3 – Revised and Polished)

Key Points

• The aim is to provide a comprehensive classification of factor residues for semiprimes under modulo 90.
• Develop complete master inversion tables for all 24 residues modulo 90.
• Identify the possible factor residue pairs for any given semiprime N using the modulo operation.
• Present a scale-invariant framework with examples to illustrate the findings.
• Each semiprime N yields either 12 or 14 unique factor residue pairs when calculated modulo 90.
• Complete tables are provided to simplify finding these pairs and understanding their distribution.