Generalized Fibonacci numbers of the form \(2^a + 3^b + 5^c\)
type: Item
instance of: scholarly article
title: Generalized Fibonacci numbers of the form \(2^a + 3^b + 5^c\)
zbMATH Open document ID: 1366.11030
author: Diego Marques
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2015-01-19T00:00:00Z
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11J86
zbMATH DE Number: 6387717
zbMATH Keywords: generalized Fibonacci sequences
zbMATH Keywords: linear forms in logarithms
zbMATH Keywords: reduction method
zbMATH Keywords: \(p\)-adic order
zbMATH Keywords: Diophantine equations
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: s00574-014-0062-x
OpenAlex ID: W2105436987
cites work: Powers of two in generalized Fibonacci sequences
cites work: Coincidences in generalized Fibonacci sequences
cites work: On the largest prime factor of the \(k\)-Fibonacci numbers
cites work: On a conjecture about repdigits in \(k\)-generalized Fibonacci sequences
cites work: Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
cites work: Fibonacci numbers at most one away from a perfect power
cites work: On Fibonacci numbers of the form \(q^ky^k\).
cites work: A simplified Binet formula for k-generalized Fibonacci numbers
cites work: Q4215652
cites work: Über Primzahlen der Form \(n2^n+1\) bzw. \(p2^p+1\)
cites work: Fibonacci and Lucas numbers with applications. Volume I
cites work: Linear forms in two logarithms and interpolation determinants II
cites work: Q4941003
cites work: Q3598632
cites work: Fibonacci numbers of the form \(p^a\pm p^b\)
cites work: The proof of a conjecture concerning the intersection of \(k\)-generalized Fibonacci sequences
cites work: On the spacing between terms of generalized Fibonacci sequences
cites work: On \(k\)-generalized Fibonacci numbers with only one distinct digit
cites work: Fibonacci and Lucas numbers of the form \(2^a+3^b+5^c\)
cites work: An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
cites work: Q5395413
cites work: Q3791219
cites work: Q4398229
DOI: 10.1007/S00574-014-0062-X
description: scientific article; zbMATH DE number 6387717