\begin{definition}[Definition:Chen Prime]
A '''Chen Prime''' is a prime number $p$ such that $p + 2$ is either a prime number or a semiprime.
The even integer $2 p + 2$ then satisfies Chen's Theorem.
The first few '''Chen primes''' are
:$2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, \ldots$
{{OEIS|A109611}}
The first few '''non-Chen primes''' are
:$43, 61, 73, 79, 97, 103, 151, 163, 173, 193, 223, 229, 241, \ldots$
{{OEIS|A102540}}
\end{definition}