Fibonacci and Lucas numbers with only one distinct digit.
By Florian Luca. 2000
117 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/8b2dd13576138db455a1515ec7857b5c3423127b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Bernadette Faye
Citations in the corpus
- Pell and Pell-Lucas numbers with only one distinct digit (2015, methodology): “The method of the proofs is similar to the method from [5], paper in which the second author determined in an elementary way the largest repdigits in the Fibonacci and the Lucas sequences.”
- On a conjecture about repdigits in k-generalized Fibonacci sequences (2013, background): “Luca [4] proved that F10 = 55 is the largest number with only one distinct digit (called repdigit) in the Fibonacci sequence.”
- k-generalized Fibonacci numbers which are concatenations of two repdigits (2021, unknown): “Diophantine equations involving repdigits were considered in several recent papers in which their authors found all repdigits that are perfect powers, or Fibonacci numbers, or generalized Fibonacci numbers, and so on (see [2, 5, 8, 15, 16, 17, 18, 20] for a sample of such results).”