Vô conjecture 22(VC22)
Abstract
We formulate a conjectural structural constraint on solutions to a class of exponential Diophantine equations involving sums of powers with pairwise distinct exponents. Specifically, we conjecture that any solution necessarily forces the existence of a nontrivial common divisor among at least two bases. This may be viewed as a multi-term generalization of the Beal Conjecture. We present motivations, equivalent formulations, and discuss potential approaches.
Fields of Study & Subjects
Analytic Number Theory Research
Algebraic Geometry and Number Theory
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 March 2026
- Document type
- Preprint