On perfect powers that are sums of cubes of a five term arithmetic progression

Alejandro Argáez-García

doi:10.1016/j.jnt.2019.02.014

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arXiv · 1901.05382

On perfect powers that are sums of cubes of a five term arithmetic progression

Alejandro Argáez-García

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Abstract

We prove that the equation $(x-2r)^3 + (x-r)^3 + x^3 + (x+r)^3 + (x+2r)^3= y^p$ only has solutions which satisfy $xy=0$ for $1\leq r\leq 10^6$ and $p\geq 5$ prime.

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BibTeX RIS

Alejandro Argáez-García. 2019-01-29. On perfect powers that are sums of cubes of a five term arithmetic progression. https://doi.org/10.1016/j.jnt.2019.02.014

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