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I'm trying to add a contact on telegram, the specified number can be added through other phones, but not same here:
Screenshot (click to enlarge)
You're trying to add a Telegram contact, which only work if this user has a Telegram account.
It's not just like adding a contact to your phone.You can add this number to your regular contact list, and search it (by the saved name) in Telegram. If the user has a Telegram account - you'll see it.
If you mean that in other phones you can add him as a Telegram contact directly, you might want to try and share the contact from one of the other phones with yourself:
If that's the case, it's very weird. I really can't see any reason it would happen.
Maybe the user you're trying to add doesn't have a telegram account or go to settings app manager telegram clear the cache out only the cache then try again