I've wondered if this can go the other way as well: e.g. "If Golbach's conjecture is true, then FTL signalling is possible. Since physics says FTL is impossibl

I've wondered if this can go the other way as well: e.g. "If Golbach's conjecture is true, then FTL signalling is possible. Since physics says FTL is impossible, then GC must be false" [If you could reduce GC to a scheme for moving information via quantum entaglement. I use GC as an example because it is famous and an unproved, but maybe a better example is the Erdos Discrepancy [0] which makes statements about aritrarily long sequences in {1,-1} just like sampling quantum states!] [0]: http://arxiv.org/abs/1509.05363 http://arxiv.org/abs/1509.05363