Erratum to "Conjecture-G" (DOI 10.5281/zenodo.20313044): retraction of the Wilson-prime equivalence; the correct characterization is the Wilson–Fermat-2 coupling T_p ≡ 0 ⟺ W_p ≡ q_p(2) − 3 mod p

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Authors: David Niedbala Giraudin
Cited by: 3
References: 2

Abstract

Erratum to DOI 10.5281/zenodo.20313044. Cet erratum retracte l'equivalence avec les premiers de Wilson (Conjecture-G) :l'enonce "T_p == 0 mod p p premier de Wilson" est FAUX. Contre-exempleeffectif : p = 563, qui est un premier de Wilson (W_563 = 0) alors queT_563 = 210 != 0 mod 563. La valeur est calculee directement sur la definitionprimitive T_p = [z^p] G_p(z), en arithmetique modulaire exacte, independammentdu Theoreme 8 du depot. L'equivalence n'avait ete testee que sur p

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Mathematical Identities Advanced Algebra and Geometry

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 May 2026