What question did this study set out to answer?

The aim is to provide a comprehensive classification of factor residues for semiprimes under modulo 90.

March 26, 2026Open Access

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

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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.

Implication

Reveals fixed factor residue pairs for semiprimes modulo 90, indicating a systematic approach to classify these pairs.

Abstract

Complete Master Inversion Tables for all 24 residues modulo 90. Given any semiprime N, r = N mod 90 immediately gives the only 12 or 14 possible factor residue pairs. Scale-invariant framework with full tables and examples.

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Cite This Study

Gisela Bühl (2026) studied this question.

synapsesocial.com/papers/69c4cd80fdc3bde448919dde https://doi.org/10.5281/zenodo.19205608

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Implication

Reveals fixed factor residue pairs for semiprimes modulo 90, indicating a systematic approach to classify these pairs.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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