Probable Counterexamples of the ABC Conjecture

2005/03/19 by N. A. Carella, Carella, N. A.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0503401

arxiv created 2005/03/19 · openalex publication_date 2005/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper describes a method used to construct infinitely many probable counterexamples of the abc conjecture over the rational integers.

Related

• Note on the ABC Conjecture
• Applications of the abc conjecture to powerful numbers
• A more general abc conjecture
• Powerful numbers and the ABC-conjecture
• Conditional Negation of The abc Conjecture