\begin{definition}[Definition:Euclid Prime/Sequence]
The sequence of '''Euclid primes''' begins:
:$2, 3, 7, 31, 211, 2311, 200 \, 560 \, 490 \, 131, \ldots$
{{OEIS|A018239}}
This sequence can be better comprehended as:
:$\sequence {p_n \# + 1}$
where: 
:$p_n \#$ denotes the primorial of the $n$th prime number
:$n$ is the sequence:
::$0, 1, 2, 3, 4, 5, 11, 75, 171, 172, 384, 457, 616, 643, \ldots$
{{OEIS|A014545}}
{{NamedforDef|Euclid}}
\end{definition}