# Cubic Fibonacci Numbers

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## Theorem

The only Fibonacci numbers which are also cubes are:

- $F_1 = 1 = 1^3$
- $F_6 = 8 = 2^3 = 3 + 5$

## Proof

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## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $8$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $8$