So I know that if both $p$ and $2p + 1$ are primes, then $p$ is a Sophie Germain prime from the Prime Glossary.
My question is this: How do we call a prime $r=(q+1)/2$ such that $q=2r-1$ is also prime?
I searched for the first $6$ terms via OEIS and I got sequence A005383:
$$3, 5, 13, 37, 61, 73, \ldots$$
However, there does not seem to be any explicit mention of a specific terminology for such primes $r=(q+1)/2$ in the literature and on the Internet.
Does anybody here know of an existing terminology for such primes $r$?