Carmichael Number/Examples/2465

Example of Carmichael Number
$2465$ is a Carmichael number:
 * $\forall a \in \Z: a \perp 2465: a^{2465} \equiv a \pmod {2465}$

while $2465$ is composite.

Proof
We have that:
 * $2465 = 5 \times 17 \times 29$

and so:

We also have that:

The result follows by Korselt's Theorem.