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

2016/02/29 by Campbell, Geoffrey B, Zujev, Aleksander
#11D41 #11D45 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1603.00080

Abstract

We give an infinite number of integer solutions to the Diophantine equation x⁵ - (x+1)⁵ -(x+2)⁵ +(x+3)⁵ = 5^m + 5ⁿ, and some solutions to some similar equations.

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