Determinant-Locked Cofactor Construction for Fermat Divisors via Closed-Form Hydra Methods
Abstract
This work is about the 'Hydra Method,' a novel and efficient mathematical approach for the factorization analysis of Fermat numbers. Instead of relying on classical division or GCD algorithms, it utilizes a mandatory 'determinant lock' mechanism within the number's geometric structure to directly construct the cofactor via a closed-form formula
Fields of Study & Subjects
Analytic Number Theory Research
Cryptography and Residue Arithmetic
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- OSF Preprints (OSF Preprints)
- Publication date
- 15 January 2026
- Language
- EN
- Document type
- Preprint