{"title":"On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves","date_created":"2023-03-07T08:51:46Z","publication":"Integers","type":"book_chapter","year":"2013","publication_identifier":{"isbn":["9783110298116"]},"language":[{"iso":"eng"}],"extern":"1","_id":"42805","date_updated":"2023-04-04T09:17:32Z","status":"public","author":[{"last_name":"Kirschmer","full_name":"Kirschmer, Markus","first_name":"Markus","id":"82258"},{"first_name":"Michael H.","full_name":"Mertens, Michael H.","last_name":"Mertens"}],"publication_status":"published","doi":"10.1515/9783110298161.212","abstract":[{"text":"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.","lang":"eng"}],"user_id":"93826","publisher":"DE GRUYTER","citation":{"mla":"Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” <i>Integers</i>, DE GRUYTER, 2013, doi:<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>.","ieee":"M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves,” in <i>Integers</i>, DE GRUYTER, 2013.","apa":"Kirschmer, M., &#38; Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In <i>Integers</i>. DE GRUYTER. <a href=\"https://doi.org/10.1515/9783110298161.212\">https://doi.org/10.1515/9783110298161.212</a>","short":"M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.","chicago":"Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” In <i>Integers</i>. DE GRUYTER, 2013. <a href=\"https://doi.org/10.1515/9783110298161.212\">https://doi.org/10.1515/9783110298161.212</a>.","bibtex":"@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }","ama":"Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In: <i>Integers</i>. DE GRUYTER; 2013. doi:<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>"},"department":[{"_id":"102"}]}