# Square which is 2 Less than Cube

Jump to navigation
Jump to search

## Contents

## Theorem

$25$ is the only square number which is $2$ less than a cube:

- $5^2 + 2 = 3^3$

## Proof

## Historical Note

The fact that $25$ is the only Square which is 2 Less than Cube was stated without proof by Pierre de Fermat.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $25$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $25$