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φ(Fn) = Fm
-
Florian Luca
and Florin Nicolae
Published/Copyright:
August 31, 2009
Abstract
We show that 1, 2 and 3 are the only Fibonacci numbers whose Euler functions are also Fibonacci numbers.
Keywords.: Fibonacci numbers; Euler function
Received: 2008-09-19
Accepted: 2009-04-06
Published Online: 2009-08-31
Published in Print: 2009-September
© de Gruyter 2009
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- Combinatorial Properties of the Antichains of a Garland
- φ(Fn) = Fm
- Twelfth Power Qualified Residue Difference Sets
- On Pebbling Graphs by Their Blocks
- Conjugacy Classes and Class Number
- Infinite Families of Divisibility Properties Modulo 4 for Non-Squashing Partitions into Distinct Parts
- Waring's Number in a Finite Field
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Articles in the same Issue
- On Relatively Prime Sets
- Combinatorial Properties of the Antichains of a Garland
- φ(Fn) = Fm
- Twelfth Power Qualified Residue Difference Sets
- On Pebbling Graphs by Their Blocks
- Conjugacy Classes and Class Number
- Infinite Families of Divisibility Properties Modulo 4 for Non-Squashing Partitions into Distinct Parts
- Waring's Number in a Finite Field
- Lucas Diophantine Triples