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arXiv · 1304.2892

Fibonacci system and residue completeness

Cheng Lien Lang·Mong Lung Lang
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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.

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Cheng Lien Lang, Mong Lung Lang. 2013-07-11. Fibonacci system and residue completeness. https://arxiv.org/abs/1304.2892

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