# Triangular Numbers which are Sum of Two Cubes

## Theorem

$28$ is the smallest triangular number which is the sum of $2$ cubes:

 $\displaystyle 28$ $=$ $\displaystyle 1 + 27$ $\displaystyle$ $=$ $\displaystyle 1^3 + 3^3$

## Proof

Can be demonstrated by brute force.