Ahmet Daşdemir
Published 2023-12-13Version 1
In this paper, we deal with Diophantine equations $N = {F_k}^3 + {F_\ell }^3 = {F_m}^3 + {F_n}^3$ and $M = {L_k}^3 + {L_\ell }^3 = {L_m}^3 + {L_n}^3$. In other words, we discover the Fibonacci and Lucas numbers that are also Hardy-Ramanujan numbers.
Sums of products of generalized Fibonacci and Lucas numbers
A Pair of Diophantine Equations Involving the Fibonacci Numbers
A note on the Diophantine equations $x^{2}\pm5^α\cdot p^{n}=y^{n}$
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