4

Is there any chance, although extremely low, to generate the private key for the 0x0000000000000000000000000000000000000000 wallet? Does the system allow it at all?

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This type of attractive address names called vanity addresses and you can use https://github.com/MyEtherWallet/VanityEth to generate them. If you are very very very lucky one day you'll get it.

0

The probability of generating the private key for the 0x0 address (and any others) is:

probability

Near enough to zero you could convert the entire solar system to a computer and try until the end of the universe and never succeed.

(Yes, the system allows it: there is no code that would prevent assets from 0x0 to be transfered, if the private key was found.)

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