Square which is 2 Less than Cube

From ProofWiki
Jump to navigation Jump to search

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