期刊论文详细信息
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica | |
Repdigits as Euler functions of Lucas numbers | |
Tall Amadou1  Bravo Jhon J.2  Faye Bernadette3  Luca Florian4  | |
[1] AIMS-Senegal, Km 2 route de Joal (Centre IRD Mbour), BP: 64566 Dakar-Fann, Senegal;Departamento de Matemäticas, Universidad del Cauca, Calle 5 No 4–70, Popayän, Colombia;School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa and AIMS-Sengal, Km 2 route de Joal (Centre IRD Mbour), BP: 64566 Dakar-Fann, Senegal;The John Knopfmacher Centre for Applied Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, Witwatersrand, South Africa; | |
关键词: fibonacci numbers; lucas numbers; applications of linear forms in logarithms; primary 11b39; secondary 11d61; | |
DOI : 10.1515/auom-2016-0030 | |
来源: DOAJ |
【 摘 要 】
We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
【 授权许可】
Unknown