The order of appearance of the product of two Fibonacci and Lucas numbers

Irmak, N.Ray, P. K.2024-11-072024-11-0720200236-52941588-2632https://doi.org/10.1007/s10474-020-01052-3https://hdl.handle.net/11480/14929Let Fn and Ln be the nth Fibonacci and Lucas number, respectively. The order of appearance is defined as the smallest natural number k such that n divides F-k and denoted by z(n) . In this paper, we give explicit formulas for the terms z(FaFb), z(LaLb), z(FaLb) and z(FnFn+pF(n)+2(p)) with p >= 3 prime.eninfo:eu-repo/semantics/closedAccessorder of appearanceFibonacci numberLucas numberThe order of appearance of the product of two Fibonacci and Lucas numbersArticle162252753810.1007/s10474-020-01052-32-s2.0-85087408446Q2WOS:000544545900006Q4