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This question already has an answer here:

Let's assume that I'm going to make a wallet through Electrum that has some Bitcoin address.

So then, How Electrum do know that is not duplicated(Already owned by another person)?

Are we just relying on big numbers(2^160)? or Does Bitcoin system has some function to prevent duplicate?

Thank you for listening my question. No offense! Just curious about the function or how it works!

marked as duplicate by Nate Eldredge, Community Nov 16 '17 at 14:32

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Are we just relying on big numbers(2^160)?

Yes

or Does Bitcoin system has some function to prevent duplicate?

No

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