I'm telling you that it literally does run at full CPU all the time, in the background, while the screen is off. That is literally the point of this application. I run this app on several Androids and my phone isn't a fluke, tens of thousands of people use BOINC to donate computational power to scientific research. I don't doubt that it difficult to this on Android, I'm just saying I have clear evidence that it's not impossible. Here's the combined computational power on a graph. https://www.boincstats.com/stats/-1/host/breakdown/os/0/0/1000

Or here's another app, that does the exact same thing, though I have less experience with it. https://play.google.com/store/apps/details?id=au.com.vodafone.dreamlabapp&hl=en_US

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The only way it could do that is if it had special permission from Google, like the processes that keep the phone ready to ring for calls. We can go back and forth on this all day and Android will still not allow always on processes

I hate Google for this btw, or I'd try to be more helpful with finding info beyond just telling you my contradictory knowledge. Sorry