On a problem of Pillai with Fibonacci numbers and powers of 2

Mahadi Ddamulira, Florian Luca, Mihaja Rakotomalala

Research output: Contribution to journalArticlepeer-review


In this paper, we find all integers c having at least two representations as a
difference between a Fibonacci number and a power of 2.
Original languageEnglish
Pages (from-to)411-421
JournalProceedings/ Indian Academy of Sciences / Mathematical Sciences
Issue number3
Publication statusPublished - 10 May 2017


  • Fibonacci numbers
  • Linear forms in logarithms
  • Reduction method.

ASJC Scopus subject areas

  • Algebra and Number Theory

Fields of Expertise

  • Information, Communication & Computing

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