Terms of Lucas sequences having a large smooth divisor

DOI10.4153/S0008439522000248OpenAlexW4229018475MaRDI QIDQ5882712

Nikhil Balaji, Florian Luca

Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12364

zbMATH Keywords

Lucas sequencesABC conjecturelinearly recurrent sequences

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On divisors of Lucas and Lehmer numbers
• Some arithmetic properties of recurrence sequences
• Factoring numbers in O(log n) arithmetic steps
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