Square which is 2 Less than Cube
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Theorem
$25$ is the only square number which is $2$ less than a cube:
- $5^2 + 2 = 3^3$
Proof
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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): $25$