# 9 is Only Square which is Sum of 2 Consecutive Cubes

## Theorem

$9$ is the only square number which is the sum of $2$ consecutive cube numbers:

- $3^2 = 9 = 1^3 + 2^3$

## Proof

## Sources

- 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $9$