<abstract xmlns="http://www.w3.org/1999/xhtml"> 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 &lt; 10111 is of the form p or p2, where p3 | 10p-1 -1. </abstract>

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.

Repdigits as Euler functions of Lucas numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Repdigits as Euler functions of Lucas numbers"}

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...

Repdigits as Euler functions of Lucas numbers

Publicado en línea: 21 sept 2017

Páginas: 105 - 126

DOI: https://doi.org/10.1515/auom-2016-0030

Palabras clave
Fibonacci numbers, Lucas numbers, Applications of linear forms in logarithms

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Repdigits as Euler functions of Lucas numbers

Publicado en línea: 21 sept 2017

Páginas: 105 - 126

DOI: https://doi.org/10.1515/auom-2016-0030

Palabras claveFibonacci numbers, Lucas numbers, Applications of linear forms in logarithms

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Palabras clave
Fibonacci numbers, Lucas numbers, Applications of linear forms in logarithms