Is there a cube greater than 8 in the Fibonacci Sequence?
Number Theory
Level
2
In the Fibonacci Sequence, is there a cube that is greater than 8?
No
Yes
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1 solution
It has been proven that the only perfect powers in the Fibonacci sequence are 0 , 1 , 8 and 1 4 4 , so the largest cube in the Fibonacci sequence is 8 . It's not a simple thing to prove so I'll just leave a link to a complete proof.