When I bring my AirPods next to my phone it shows up but it doesn’t show that my right one is even a thing

First thing I would try is to reset the AirPods:

How to reset your AirPods and AirPods Pro - Apple Support

slade147 Said:

"When I bring my AirPods next to my phone it shows up but it doesn’t show that my right one is even a thing: What’s the problem?"

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Refer to the link provided atop this post.