Fibonacci and Lucas numbers of the form \(2^a+3^b+5^c\). (English) Zbl 1362.11018

Marques, Diego; Togbé, Alain

Proc. Japan Acad., Ser. A 89, No. 3, 47-50 (2013).

Summary: In this paper, we find all Fibonacci and Lucas numbers written in the form \(2^a+3^b+5^c\), in nonnegative integers \(a,b,c\), with \(\max\{a,b\}\leq c\).

MSC:

11B39	Fibonacci and Lucas numbers and polynomials and generalizations
11J86	Linear forms in logarithms; Baker’s method

Keywords:

Fibonacci; Lucas; linear forms in logarithms; reduction method

References:

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