English

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

Number Theory 2016-03-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1603.00080,
  title  = {On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n},
  author = {Geoffrey B Campbell and Aleksander Zujev},
  journal= {arXiv preprint arXiv:1603.00080},
  year   = {2016}
}

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3 pages