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arXiv · 1611.01192

Powerful numbers and the ABC-conjecture

David Cushing·James Eldred Pascoe
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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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David Cushing, James Eldred Pascoe. 2016-11-03. Powerful numbers and the ABC-conjecture. https://arxiv.org/abs/1611.01192

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