The distribution of Lucas and elliptic pseudoprimes
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- by Daniel M. Gordon and Carl Pomerance PDF
- Math. Comp. 57 (1991), 825-838 Request permission
Corrigendum: Math. Comp. 60 (1993), 877.
Corrigendum: Math. Comp. 60 (1993), 877.
Abstract:
Let $\mathcal {L}(x)$ denote the counting function for Lucas pseudoprimes, and $\mathcal {E}(x)$ denote the elliptic pseudoprime counting function. We prove that, for large x, $\mathcal {L}(x) \leq xL{(x)^{ - 1/2}}$ and $\mathcal {E}(x) \leq xL{(x)^{ - 1/3}}$, where \[ L(x) = \exp (\log x\log \log \log x/\log \log x).\]References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Math. Comp. 57 (1991), 825-838
- MSC: Primary 11N80; Secondary 11B39, 11G05, 11Y11
- DOI: https://doi.org/10.1090/S0025-5718-1991-1094951-8
- MathSciNet review: 1094951