Everyone seems to assume Persona 5 will be on PS3.
However I think it will be on PSP. There are 4 main reasons I think so.
1) PSP's Userbase in Japan.
2) Persona Portables. They've sold well. Really well considering they are old ports. Persona 3 PSP seems to have matched Persona 3's PS2 sales in Japan.
3) Persona games don't sell that much anyway. Doesn't seem smart to put an HD budget behind the project when you consider just how many demons you need to render.
4) Shin Megami Tensei PS3. It never came out. It was announced pretty much at launch as being worked on. I'd expect them to finish that before they made any Persona or any other Shin Megami plans on PS3.