Goldbach minus

["vernonner3voltazim"]

We are most of us here probably familiar with Goldbach's Conjecture,
about any even number being describable as the sum of two primes.

It occurred to me to wonder if any even number might also be
describable as the difference between two primes.
For example:
2=5-3
4=11-7
6=13-7
8=19-11
10=13-3
etc.
Perhaps this is already known, if not so widely as the original
Conjecture.
Perhaps a counterexample is known.  Just wondering....