Consider the following """easier""" conjectures:


**C1**. every sum of two semiprimes $n = pq + rs$, $p,q,r,s$ primes, can be expressed as $n = (a + b)/2$; with $a,b$ primes.


**C2**. every number $p(q + r)$, $p,q,r$ primes (sum of two squarefree semiprimes that share a factor), can be expressed as $p(q + r) = (a + b)/2$; with $a,b$ primes.


Do they have an official name/literature?



Name of conjectures similar to Goldbach conjecture
I don't believe either has a name in the literature.


Also, I don't know how much easier these conjectures would be. They don't seem to have any useful structure for the problem to take advantage of. C1 is almost surely equivalent to the Goldbach conjecture itself: probably every number greater than 33 (resp., 82) is the sum of two semiprimes (resp., squarefree semiprimes). See [A072931](https://oeis.org/A072931), [A072966](https://oeis.org/A072966), and [A329481](https://oeis.org/A329481).


