Intersection of Padovan and Tribonacci sequences

Nurretin Irmak and Abdullah Açikel
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 29, 2023, Number 2, Pages 354–359
DOI: 10.7546/nntdm.2023.29.2.354-359
Full paper (PDF, 276 Kb)


Authors and affiliations

Nurretin Irmak
Department of Basic Science, Natural and Engineering Faculty,
Konya Technical University, Konya, Turkey

Abdullah Açikel
Hassa Vocational School, Hatay Mustafa Kemal University,
Hatay, Turkey


Assume that T_{n} is the n-th term of Tribonacci sequence and P_{m} is the m-th term of Padovan sequence. In this paper we solve the equation T_{n}=P_{m} completely.


  • Tribonacci numbers
  • Padovan numbers
  • Baker methods
  • Linear logarithms

2020 Mathematics Subject Classification

  • 11J86
  • 11D72
  • 11B39


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Manuscript history

  • Received: 13 October 2022
  • Revised: 16 March 2023
  • Accepted: 10 May 2023
  • Online First: 15 May 2023

Copyright information

Ⓒ 2023 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Cite this paper

Irmak, N., & Açikel, A. (2023). Intersection of Padovan and Tribonacci sequences. Notes on Number Theory and Discrete Mathematics, 29(2), 354-359, DOI: 10.7546/nntdm.2023.29.2.354-359.

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