Angelos Koutsianas, Vandita Patel
Published 2018-02-21Version 1
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.
On perfect powers that are sums of cubes of a nine term arithmetic progression
On perfect powers that are sums of cubes of a five term arithmetic progression
On perfect powers that are sums of cubes of a three term arithmetic progression
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