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Article

On Generalized Lucas Pseudoprimality of Level k

1
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
2
School of Computing and Engineering, University of Derby, Derby DE22 1GB, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Diana Savin
Mathematics 2021, 9(8), 838; https://doi.org/10.3390/math9080838
Received: 13 March 2021 / Revised: 7 April 2021 / Accepted: 7 April 2021 / Published: 12 April 2021
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. View Full-Text
Keywords: generalized lucas sequences; legendre symbol; jacobi symbol; pseudoprimality generalized lucas sequences; legendre symbol; jacobi symbol; pseudoprimality
MDPI and ACS Style

Andrica, D.; Bagdasar, O. On Generalized Lucas Pseudoprimality of Level k. Mathematics 2021, 9, 838. https://doi.org/10.3390/math9080838

AMA Style

Andrica D, Bagdasar O. On Generalized Lucas Pseudoprimality of Level k. Mathematics. 2021; 9(8):838. https://doi.org/10.3390/math9080838

Chicago/Turabian Style

Andrica, Dorin, and Ovidiu Bagdasar. 2021. "On Generalized Lucas Pseudoprimality of Level k" Mathematics 9, no. 8: 838. https://doi.org/10.3390/math9080838

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