Sums of divisors of Fibonacci numbers
Konyagin, Sergei V.
MetadataShow full item record
In this note, we prove an estimate on the count of Fibonacci numbers whose sum of divisors in also a Fibonacci number. As a corollary, we find that the series of reciprocals in indices of such Fibonacci numbers is convergent.
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Showing items related by title, author, creator and subject.
Luca, Florian; Stănică, Pantelimon (2010);Here, we investigate the Fibonacci numbers whose sum of aliquot divisors is also a Fibonacci number (the prime Fibonacci numbers have this property
Ang, Kwee Hua (Monterey, California. Naval Postgraduate School, 1995-03);The Binary Decision Diagram (BDD) is a very useful representation in the design and verification of switching functions. This is due to to its compactness, where size is measured by the number of nodes. In the implementation ...
Luca, Florian; Stănică, Pantelimon (2013);Here, we look at the Fibonacci and Lucas numbers whose Euler function is a factorial, as well as Lucas numbers whose Euler function is a product of power of two and power of three