Fibonacci system and residue completeness

Abstract

We give necessary and sufficient conditions for a Fibonacci cycle to be residue complete (nondefective). In particular, the Lucas numbers modulo m is residue complete if and only if m = 2,4,6,7,14 or a power of 3.

We revise the article and give a direct proof of the main results

Cited by in corpus (1)

• The Lucas Numbers and other Gibonacci Sequences mod $m$