On moduli for which the Lucas numbers contain a complete residue system (Q2869893)
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scientific article; zbMATH DE number 6243217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On moduli for which the Lucas numbers contain a complete residue system |
scientific article; zbMATH DE number 6243217 |
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7 January 2014
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On moduli for which the Lucas numbers contain a complete residue system (English)
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From the text: In 1971, \textit{S. A. Burr} [Fibonacci Q. 9, 497--504 (1971; Zbl 0227.10007)] investigated the moduli for which the Fibonacci numbers contain a complete set of residues. In this paper, the authors examine the moduli for which this is true of the Lucas numbers.NEWLINEThey prove that the Lucas-complete moduli are given by NEWLINE\[NEWLINE2,4,6,7,14,3^k\quad\text{ for } k\geq 0.NEWLINE\]
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