Abstract
Here, we find all the solutions of the title Diophantine equation in positive integer variables $(m,n,x,y)$, where $F_k$ is the $k$-th term of the Fibonacci sequence.
Citation
Noriko Hirata-Kohno. Florian Luca. "On the Diophantine equation $F_n^x+F_{n+1}^x=F_m^y$." Rocky Mountain J. Math. 45 (2) 509 - 538, 2015. https://doi.org/10.1216/RMJ-2015-45-2-509
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