Pseudoprimality related to the generalized Lucas sequences

Mathematics and Computers in Simulation(2022)

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摘要
Some arithmetic properties and new pseudoprimality results concerning generalized Lucas sequences are presented. The findings are connected to the classical Fibonacci, Lucas, Pell, and Pell–Lucas pseudoprimality. During the process new integer sequences are found and some conjectures are formulated.
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关键词
Generalized Lucas sequences,Legendre symbol,Jacobi symbol,Pseudoprimality
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