# Triangular Numbers which are Sum of Two Cubes

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## 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.

## Sources

- 1986: David Wells:
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