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
Research Article
There are only finitely many Lucas-Carmichael numbers in the sequence {2np-1}n≥1
https://doi.org/10.21203/rs.3.rs-4330099/v1
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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
Carmichael numbers
Lucas-Carmichael numbers
Primality test
No competing interests reported.
Reviewers agreed at journal
09 May, 2024
Reviewers invited by journal
05 May, 2024
Editor assigned by journal
02 May, 2024
Submission checks completed at journal
30 Apr, 2024
First submitted to journal
26 Apr, 2024
You are reading this latest preprint version