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I just wondered to myself how long it would take you to use up all the addresses if you created a trillion per second.

3.6e+17 times the current age of the universe. So, it looks like there are enough addresses for you to really go nuts, if you like. Block chain might get a bit bloated though.

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Addresses are not added to the block chain unless they receive Bitcoin. There are no checks in place to ensure the uniqueness of the address, since it's virtually impossible to generate the same address twice, let alone an address with a positive balance.

when you create addresses, you can do them offline. Has nothing to do with the blockchain.

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