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On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem

Published 13 Dec 2023 in math.NT | (2312.07986v3)

Abstract: 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.

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Authors (1)

  1. Ahmet Daşdemir 

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