Work

The Beal Conjecture and the Modulus

Year: 2026

Type: preprint

Abstract: The Beal Conjecture states: if Aˣ + Bʸ = Cᶻ where A, B, C, x, y, zare positive integers and x, y, z ≥ 3, then A, B, and C have acommon prime factor. This paper establishes the Beal Conjecture within the Prime FieldArchitecture — a self-contained arithmetic framework built on themodulus M = 30 = 2 × 3 × 5. The paper requires no prior knowledge ofthe Prime Field Architecture; all necessary definitions are providedhere.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24027685

Author: Skerl, David-Michael

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225453394

Cites:

Cited by:

Related to: 10