No Fermat pseudoprime of the form u²−2 to base 2

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Gottfried Färberböck
DOI: 10.5281/zenodo.18232109
Cited by: 0

Abstract

This document contains a complete proof that no composite odd integer of the formn = u² − 2 is a Fermat pseudoprime to base 2. This is an archived manuscript intended for long-term preservation.It has not undergone peer review.

Fields of Study & Subjects

Analytic Number Theory Research Cryptography and Residue Arithmetic Algebraic Geometry and Number Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 January 2026
Document type
Preprint