On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves

M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.

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Book Chapter | Published | English
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Kirschmer, MarkusLibreCat; Mertens, Michael H.
Abstract
Following an idea of B. H. Gross, who presented an elliptic curve test for Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.
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Integers
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Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In: Integers. DE GRUYTER; 2013. doi:10.1515/9783110298161.212
Kirschmer, M., & Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In Integers. DE GRUYTER. https://doi.org/10.1515/9783110298161.212
@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={10.1515/9783110298161.212}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }
Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” In Integers. DE GRUYTER, 2013. https://doi.org/10.1515/9783110298161.212.
M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves,” in Integers, DE GRUYTER, 2013.
Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” Integers, DE GRUYTER, 2013, doi:10.1515/9783110298161.212.

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