Imagine that there are two really strong computers that try to find an address starting with 1ABCDEFGH. Is there a possibility does that two computer find the same private key?
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2 Answers
You have enough entropy in Bitcoin private keys to make this possibility extremely unlikely (just like with non-vanity address).
A nice chapter on vanity addresses (their generation, security etc) can be found at: http://chimera.labs.oreilly.com/books/1234000001802/ch04.html#_vanity_addresses.
Theres a possibility, its still unlikely.
heres a couple of attempts. Not quite as many characters since it will take to long.
1AbcDeF22LQFTudvxEPzPUo4LQsNLVUUGT
1ABcDefEJv156aq32SmQo8aU4EVPHqwxV4
Case sensitive will take longer.
1ABCDEkreuP3HqnqEivk8NQzLw5afz3mXW
http://directory.io/ has a list of all bitcoin public/private keys
still looking for an atom in the galaxy.
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Wait, I thought directory.io was fake? directory.io/faq Here it says its a joke.– MCCCSCommented Jul 16, 2016 at 8:20
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@MCCCS it is a joke, but the data generated is real. It's just proving a point that being able to generate the data doesn't really help you, there are still so many addresses that it's impossible to search. Commented Jul 18, 2016 at 16:29