Should I look through my boyfriends phone?

He always falls asleep on me, and while I don't really truly believe he has anything to hide, I'm very curious to look through his phone because he never lets me! We're together everyday and I've never seen anything suspicious pop up on his phone, but I also this it's strange that he never lets me freely look at his phone. Help? What should I do! I know it's wrong but he'll never know and it'll just give me some peace of mind.
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