Padovan numbers as difference of two repdigits

Merve Güney Duman ()
Additional contact information
Merve Güney Duman: Sakarya University of Applied Sciences

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 873-881

Abstract: Abstract In this paper, we find all Padovan numbers which can be written as are difference of two repdigits. It is shown that all Padovan numbers which can be written as a difference of two repdigits are $$P_{k}\in \{2,3,4,5,7,9,12$$ P k ∈ { 2 , 3 , 4 , 5 , 7 , 9 , 12 , $$16,21,28,37,49,65,86,200,3329\}$$ 16 , 21 , 28 , 37 , 49 , 65 , 86 , 200 , 3329 } .

Keywords: Diophantine equations; Continued fraction; Repdigit; Linear forms in logarithms; Padovan number; 11A55; 11J60; 11J68; 11B83; 11D61; 11D72; 11J86 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-023-00526-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:56:y:2025:i:2:d:10.1007_s13226-023-00526-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-023-00526-8

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().