Whoops!
> so 10**30 years.  The universe is about 10 billion years old, or
> 10**13 years, so ... our brute-force key cracker takes 10**17 times
> longer than the age of the universe in order to brute-force a 128-bit
> key.

10 billion is 10**10, so it takes 10**20 times the age of the universe.
But at some point, who's counting?

> Admittedly, that energy gets released over 10**13 times the age of
> the universe...

10**20.



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