Perfect fibonacci and lucas numbers (original) (raw)
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Abstract
In this note, we show that the classical Fibonacci and Lucas sequence do not contain any perfect number.
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References
- Cohn J.H.E.,Square Fibonacci numbers, etc., Fibo. Quart.,2 (1964).
- Dickson L.E.,History of the Theory of Numbers, Vol. I, Divisiblity and Primality, Chelsea Publishing Company, New York, 1966.
MATH Google Scholar - Luca F.,Euler Indicators of Lucas Sequences, Bull. Math. Soc. Sc. Mat. Roumanie, Tome40 (88) (1997), 151–163.
MATH Google Scholar - Luca F.,Arithmetic functions of Fibonacci and Lucas numbers, Fibo. Quart.,37 (1999), 265–268.
MATH MathSciNet Google Scholar - Ribenboim P.,Square Classes of Fibonacci and Lucas numbers, Portugaliae Math.46 (1) (1989), 159–176.
MATH MathSciNet Google Scholar - Robbins N.,On Fibonacci numbers of the form px 2 where p is a prime, Fibo. Quart.21 (1983), 266–271.
MATH MathSciNet Google Scholar - Rosen K.H.,Elementary number theory and its applications, Addison-Wesley, 1984.
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Authors and Affiliations
- Mathematical Institute, Czech Academy of Sciences, Zitnà, 25, 115 67, Praha 1, Czech Republic
Florian Luca
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- Florian Luca
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Correspondence toFlorian Luca.
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Luca, F. Perfect fibonacci and lucas numbers.Rend. Circ. Mat. Palermo 49, 313–318 (2000). https://doi.org/10.1007/BF02904236
- Received: 05 November 1998
- Issue Date: May 2000
- DOI: https://doi.org/10.1007/BF02904236