On prime factors of terms of binary recurrence sequences
Volume 209 / 2023
Acta Arithmetica 209 (2023), 173-189
MSC: Primary 11B37; Secondary 11J86.
DOI: 10.4064/aa220601-7-3
Published online: 3 April 2023
Abstract
We establish estimates from below for the greatest prime factor of the $n$th term of a non-degenerate binary recurrence sequence when the sequence belongs to a class of sequences which includes the Lucas sequences.
