Hmm yes but it's possible to compromise private key generation to only create a very small predictable subset of keys. In fact some smartcards from Infineon suffered from this as a bug. And thus they can be brute forces. It requires some serious crypto chops to determine if this is the case. Obviously it's not like the first 60 bits being zero or something. And the private key is made to not be extracted in this kind of device making it even harder.
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