Abstract
In this paper we prove that if $k\geq3$ and $d$ are positive integers and the set $\{k-2,k+2,4k^3-4k,d\}$ has the property that the product of any two of its distinct elements increased by $4$ is a perfect square, then $d=4k$ or $d=4k^5-12k^3+8k$.
Citation
Ljubica Baćić. Alan Filipin. "On the family of $D(4)$-triples {k-2, k+2, 4k^3-4k}." Bull. Belg. Math. Soc. Simon Stevin 20 (5) 777 - 787, november 2013. https://doi.org/10.36045/bbms/1385390763
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