Category:Definitions/Lucas-Carmichael Numbers

This category contains definitions related to Lucas-Carmichael Numbers.
Related results can be found in Category:Lucas-Carmichael Numbers.

Let $n$ have the property that:

$p \divides n \implies \paren {p + 1} \divides \paren {n + 1}$

where:

$p$ is prime

$p \divides n$ denotes that $p$ is a divisor of $n$.

Then $n$ is classified as a Lucas-Carmichael number.