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Jacobsthal family modulo $$m$$. (English) Zbl 1416.11032
Summary: In this study, we investigate sets of remainder of the Jacobsthal and Jacobsthal-Lucas numbers modulo $$m$$ for some positive integers $$m$$. Also some properties related to these sets and a new method to calculate the length of period modulo $$m$$ is given.
##### MSC:
 11B39 Fibonacci and Lucas numbers and polynomials and generalizations 11B50 Sequences (mod $$m$$)
##### Keywords:
Jacobsthal numbers; Jacobsthal-Lucas numbers; modulo; period