If you have already reset the device 4-5 times, let's do a deeper hard-reset once more and then I can advise you that maybe it's the other device (your iPhone or whatever you are using) that is the problem... So, if the reset below doesn't work, I advise you to backup to iCloud or to your Mac/PC and then plug your iPhone in and open iTunes (PC) or Music (Mac) and Restore the device. And then restore from the backup... and then start the steps below over again.
If it STILL doesn't work, contact Apple Support below. Or you can choose to contact them before restoring your iPhone if you believe the AirPods are the issue itself.
Try a full re-pair, reset, and try again.
Start with Unpairing/"Forgetting" the Device:
Settings > Bluetooth > Airpods > Forget this device. Confirm it.
Put both Airpods in their case, charge them via Lightning for a few minutes (or preferably until the case is 100%). Unplug them. Open the case and hold the button on the back of the case for 15+ seconds or until the light flashes white. Hold them near your iPhone and see if the pairing screen comes up and pair them. If not, repeat until it does. But if you can't see the screen pop up, then manually pair within Bluetooth.
If it doesn't work, open a case with Apple Support here: https://support.apple.com/airpods
Also please let me know the Firmware Version if it doesn't work:
Settings > General > About > AirPods > Firmware Version