# Squares which are 4 Less than Cubes

Jump to navigation Jump to search

## Theorem

The only two square numbers which are $4$ less than a cube are:

$2^2 + 4 = 2^3$
$11^2 + 4 = 5^3$

## Historical Note

Pierre de Fermat correctly conjectured that there are only two square numbers which are $4$ less than a cube.