Abstract

IBARRA, SOFÍA  and  RIVERA, LUIS MANUEL. Fibonacci and Lucas numbers of the form −2 ^α − 3 ^b − 5 ^c + 7 ^d. Integración - UIS [online]. 2024, vol.42, n.1, pp.43-50.  Epub Jan 01, 2024. ISSN 0120-419X.  https://doi.org/10.18273/revint.v42n1-2024004.

In this note we find all Fibonacci and Lucas numbers of the form −2 α − 3 b − 5 c + 7 d where a, b, c, d are non-negative integers, with 0 ≤ max{a, b, c} ≤ d. This result gives an answer to a question posed by Qu, Zeng and Cao.

Keywords : Fibonacci and Lucas sequences; linear form in logarithms; reduction method.

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