lucas pseudoprimes
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Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 838
Author(s):  
Dorin Andrica ◽  
Ovidiu Bagdasar

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.


2000 ◽  
Vol 28 (0) ◽  
pp. 97-104
Author(s):  
Andrzej Rotkiewicz
Keyword(s):  

1990 ◽  
Vol 55 (3-4) ◽  
pp. 279-284
Author(s):  
I. Joó
Keyword(s):  

1988 ◽  
Vol 51 (183) ◽  
pp. 315-315 ◽  
Author(s):  
P. Erdős ◽  
P. Kiss ◽  
A. S{árk{özy

1988 ◽  
Vol 51 (183) ◽  
pp. 315 ◽  
Author(s):  
P. Erdos ◽  
P. Kiss ◽  
A. Sarkozy

Author(s):  
Péter Kiss ◽  
Bui Minh Phong ◽  
Erik Lieuwens
Keyword(s):  

1980 ◽  
Vol 35 (152) ◽  
pp. 1391-1391 ◽  
Author(s):  
Robert Baillie ◽  
Samuel S. Wagstaff
Keyword(s):  

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