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Powerful numbers and the ABC-conjecture

2016/11/03 by David Cushing, D. H. Cushing, James Eldred Pascoe +3
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Mathematics and Applications #math.NT

paper · pdf · doi:10.48550/arxiv.1611.01192

openalex publication_date 2016/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The abc conjecture is a very deep concept in number theory with wide application to many areas of number theory. In this article we introduce the conjecture and give examples of its applications. In particular we apply the abc conjecture to the location of powerful numbers.

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