If the sequence contains no perfect squares>4, then the Goldbach conjecture in FermiDirac arithmetic (FDGC) is true (see comment in A241927).
Essentially, the sequence is the FermiDirac analog of A100570. Since A100570 is conjecturally finite, it is natural to suppose that this sequence is also finite.
There is not another term up to 10^6.  Peter J. C. Moses, May 05 2014
Thus, if 20 is the last term of the sequence, then the FDGC is true.  Vladimir Shevelev, May 05 2014
