Some Divisibility Properties of Lucas Numbers

Adem ŞAHİN; Sadettin KARAGÖL

doi:https://doi.org/10.47000/tjmcs.783597

Article Details

Some Divisibility Properties of Lucas Numbers

Authors:

Adem ŞAHİN | Sadettin KARAGÖL

Publisher:

Matematikçiler Derneği

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 2, pp.234-238

Document Type:

Article

Publication Date:

12/2021

Document Language:

English

Document ID (Org No.):

2000638364

Frequency:

Bi-Annual

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.783597

Abstract:

 

The Lucas number sequence is a popular number  sequence that has been described as similar to the Fibonacci number  sequence. A lot of research has been done on this number sequence.   Some of these studies are on the divisibility properties of this number sequence.  Carlitz (1964) examined the requirement that a  given Lucas number can be divided by another Lucas number. After that, many studies have been done on this subject. In the present article,  we obtain some divisibility properties of the Lucas  Numbers. First, we examine the case L(2n−1)m/LmL(2n−1)m/LmL_{(2n-1)m}/L_{m} and then we obtain L(2n−1)mL(2n−1)mL_{\left( 2n-1\right) m} using different forms of Lucas numbers.

Article Details

Some Divisibility Properties of Lucas Numbers

Authors: Adem ŞAHİN | Sadettin KARAGÖL

Publisher: Matematikçiler Derneği

Main Topics: Mathematics

Journal: Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 2, pp.234-238

Document Type: Article

Publication Date: 12/2021

Document Language: English

Document ID (Org No.): 2000638364

Frequency: Bi-Annual

eISSN: 2148-1830

DOI: https://doi.org/10.47000/tjmcs.783597

Issues

Authors:

Adem ŞAHİN | Sadettin KARAGÖL

Publisher:

Matematikçiler Derneği

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 2, pp.234-238

Document Type:

Article

Publication Date:

12/2021

Document Language:

English

Document ID (Org No.):

2000638364

Frequency:

Bi-Annual

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.783597