Copy For Citation
Altassan A., ALAN M.
Comptes Rendus de L'Academie Bulgare des Sciences, vol.77, no.1, pp.3-10, 2024 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
77
Issue:
1
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Publication Date:
2024
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Doi Number:
10.7546/crabs.2024.01.01
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Journal Name:
Comptes Rendus de L'Academie Bulgare des Sciences
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
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Page Numbers:
pp.3-10
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Keywords:
k-generalized Lucas sequences, k-Lucas numbers, linear forms in logarithms, Lucas numbers, Mersenne numbers
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Yıldız Technical University Affiliated:
Yes
Abstract
Let k ≥ 2 be an integer and let (L(nk))n≥2−k be the k-generalized Lucas sequence with certain initial k terms and each term afterward is the sum of the k preceding terms. Mersenne numbers are the numbers of the form 2a−1, where a is any positive integer. The aim of this paper is to determine all Mersenne numbers which lie inside k-Lucas sequences.