On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n

Aleksander Zujev; Geoffrey B Campbell

arxiv: 1603.00080 · v1 · pith:KT7UKKCQnew · submitted 2016-02-29 · 🧮 math.NT

On integer solutions to x⁵ - (x+1)⁵ -(x+2)⁵ +(x+3)⁵ = 5^m + 5^n

Geoffrey B Campbell , Aleksander Zujev This is my paper

classification 🧮 math.NT

keywords solutionsintegersomediophantineequationequationsgiveinfinite

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We give an infinite number of integer solutions to the Diophantine equation x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n, and some solutions to some similar equations.

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On integer solutions to x⁵ - (x+1)⁵ -(x+2)⁵ +(x+3)⁵ = 5^m + 5^n

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