Perfect powers that are sums of squares in a three term arithmetic progression

Angelos Koutsianas; Vandita Patel

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arXiv · 1802.07485

Perfect powers that are sums of squares in a three term arithmetic progression

Angelos Koutsianas·Vandita Patel

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Abstract

We determine primitive solutions to the equation $(x-r)^2 + x^2 + (x+r)^2 = y^n$ for $1 \le r \le 5,000$, making use of a factorization argument and the Primitive Divisors Theorem due to Bilu, Hanrot and Voutier.

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Angelos Koutsianas, Vandita Patel. 2018-02-21. Perfect powers that are sums of squares in a three term arithmetic progression. https://arxiv.org/abs/1802.07485

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