Repdigits in Euler functions of Pell and associated pell numbers

2018/02/13 by Manasi Kumari Sahukar, G. K. Panda, Sahukar, Manasi Kumari +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1802.05542

Abstract

A natural number n is called a repdigit if all its digits are same. In this paper, we prove that Euler totient function of no Pell number is a repdigit with at least two digits. This study is also extended to certain subclass of associated Pell numbers.

Citations

• On the Square Roots of Triangular Numbers

Related

• Pell Numbers whose Euler Function is a Pell Number
• Some Diophantine Equations involving associated Pell numbers and repdigits
• Pell and Pell-Lucas numbers as difference of two repdigits
• Pell or Pell-Lucas numbers as concatenations of two repdigits in base b
• Pell and Pell-Lucas numbers as sums of three repdigits