On Fibonacci numbers which are elliptic Carmichael |
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Authors: | Florian Luca Pantelimon Stănică |
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Affiliation: | 1.School of Mathematics,University of the Witwatersrand,Johannesburg,South Africa;2.Applied Mathematics Department,Naval Postgraduate School,Monterey,USA |
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Abstract: | Here, we show that if E is a CM elliptic curve with CM field different from ({mathbb {Q}}left( {sqrt{-1}}right) ), then the set of n for which the nth Fibonacci number (F_n) is elliptic Carmichael for E is of asymptotic density zero. |
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