On Generalized Lucas Pseudoprimality of Level k
Journal article
Andrica, Dorin and Bagdasar, Ovidiu 2021. On Generalized Lucas Pseudoprimality of Level k. Mathematics. 9 (8), p. 838. https://doi.org/10.3390/math9080838
Authors | Andrica, Dorin and Bagdasar, Ovidiu |
---|---|
Abstract | We investigate the Fibonacci pseudoprimes of level k, and we disprove a statement concerning the relationship between the sets of different levels, and also discuss a counterpart of this result for the Lucas pseudoprimes of level k. We then use some recent arithmetic properties of the generalized Lucas, and generalized Pell–Lucas sequences, to define some new types of pseudoprimes of levels k+ and k− and parameter a. For these novel pseudoprime sequences we investigate some basic properties and calculate numerous associated integer sequences which we have added to the Online Encyclopedia of Integer Sequences. |
Keywords | Number theory; Numerical simulations |
Year | 2021 |
Journal | Mathematics |
Journal citation | 9 (8), p. 838 |
Publisher | MDPI AG |
ISSN | 2227-7390 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/math9080838 |
Web address (URL) | http://hdl.handle.net/10545/625796 |
https://creativecommons.org/licenses/by/4.0/ | |
hdl:10545/625796 | |
Publication dates | 12 Apr 2021 |
Publication process dates | |
Deposited | 28 May 2021, 10:46 |
Accepted | 07 Apr 2021 |
Contributors | Babeş-Bolyai University, 400084 Cluj-Napoca, Romania and University of Derby |
File | File Access Level Open |
File | File Access Level Open |
Permalink -
https://repository.derby.ac.uk/item/9453x/on-generalized-lucas-pseudoprimality-of-level-k
Download files
56
total views21
total downloads3
views this month0
downloads this month