For the past two generations of consoles, PSone saw GT1 and GT2 while PS2 had GT3 and GT4. Now if history repeats itself, we would have been playing the GT3 equivalent which instead we have GT5
rologue. And seeing that GT5 proper takes quite awhile to be released and when it does, expect to see all sorts of updates and patches it brings with it. And then we have GT Mobile on PSP. So, Gran Turismo 6 on Playstation 4 perhaps?