Luca, Florian Perfect Fibonacci and Lucas numbers. (English) Zbl 0972.11007 Rend. Circ. Mat. Palermo, II. Ser. 49, No. 2, 313-318 (2000). Using elementary means, the author shows that no Fibonacci or Lucas number is perfect. Reviewer: N.Robbins (San Francisco) Cited in 3 ReviewsCited in 6 Documents MSC: 11A25 Arithmetic functions; related numbers; inversion formulas 11B39 Fibonacci and Lucas numbers and polynomials and generalizations Keywords:Fibonacci numbers; Lucas numbers; perfect numbers PDFBibTeX XMLCite \textit{F. Luca}, Rend. Circ. Mat. Palermo (2) 49, No. 2, 313--318 (2000; Zbl 0972.11007) Full Text: DOI References: [1] Cohn J.H.E.,Square Fibonacci numbers, etc., Fibo. Quart.,2 (1964). · Zbl 0126.07201 [2] Dickson, L. E., History of the Theory of Numbers, Vol. I (1966), New York: Divisiblity and Primality, Chelsea Publishing Company, New York · Zbl 0958.11500 [3] Luca, F., Euler Indicators of Lucas Sequences, Bull. Math. Soc. Sc. Mat. Roumanie, Tome, 40, 88, 151-163 (1997) · Zbl 0922.11003 [4] Luca, F., Arithmetic functions of Fibonacci and Lucas numbers, Fibo. Quart., 37, 265-268 (1999) · Zbl 0936.11007 [5] Ribenboim, P., Square Classes of Fibonacci and Lucas numbers, Portugaliae Math., 46, 1, 159-176 (1989) · Zbl 0687.10005 [6] Robbins, N., On Fibonacci numbers of the form px^2where p is a prime, Fibo, Quart., 21, 266-271 (1983) · Zbl 0523.10003 [7] Rosen K.H.,Elementary number theory and its applications, Addison-Wesley, 1984. · Zbl 0546.10001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.