There are only finitely many Lucas-Carmichael numbers in the sequence {2np-1}n≥1
Author:
Affiliation:
1. Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram
Abstract
In this paper, we prove that the sequence {2np − 1}n≥1 contains only finitely many Lucas-Carmichael numbers for a fixed odd prime p. MSC Classification: 11A51 , 11Y55 , 11N25 , 11B39
Publisher
Springer Science and Business Media LLC
Reference10 articles.
1. Williams, Hugh C (1977) On numbers analogous to the Carmichael numbers. Canadian Mathematical Bulletin 20(1): 133--143 Cambridge University Press
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3. Baillie, Robert and Wagstaff, Samuel S (1980) Lucas pseudoprimes. Mathematics of Computation 35(152): 1391--1417
4. Pollack, Paul (2009) Not always buried deep: A second course in elementary number theory. American Mathematical Soc.
5. Alford, William R and Granville, Andrew and Pomerance, Carl (1994) There are infinitely many Carmichael numbers. Annals of Mathematics 139(3): 703--722
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