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Mathematics of Computation

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A lower bound for the counting function of Lucas pseudoprimes

Authors: P. Erdős, P. Kiss and A. Sárközy
Journal: Math. Comp. 51 (1988), 315-323
MSC: Primary 11B39; Secondary 11Y55
MathSciNet review: 942158
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Abstract: We show that there is an absolute constant c such that, for any nondegenerate Lucas sequence, the number of Lucas pseudoprimes not exceeding x is greater than $\exp \{ {(\log x)^c}\}$ if x is sufficiently large.

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Keywords: Pseudoprime, Lucas sequence, Lucas pseudoprimes
Article copyright: © Copyright 1988 American Mathematical Society