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arxiv: 1611.01192 · v1 · pith:5MACN2OCnew · submitted 2016-11-03 · 🧮 math.NT

Powerful numbers and the ABC-conjecture

classification 🧮 math.NT
keywords conjecturenumbernumberspowerfultheoryabc-conjectureapplicationapplications
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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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