Abstract
Cohn (see [1]) determined all the Fibonacci and the Lucas numbers which are squares and London & Finkelstein (see [3]) found all the Fibonacci and the Lucas numbers which are cubes. Luo Ming (see [4], [5], [6], [7]) has determined all the Fibonacci and the Lucas numbers which are either triangular or pentagonal and Williams (see [9]) found all the Fibonacci numbers which are of the form k 2 +1 for some integer k. Stark (see [2]), or [8]) asks which Fibonacci numbers are half the difference (or sum) of two cubes.
This work was partially supported by the Alexander von Humboldt Foundation.
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References
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Luca, F. (1999). Fibonacci Numbers of the Form k2+k+2. In: Howard, F.T. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4271-7_24
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