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Re:All Bitcoin private keys are on this website by 5e92cb50239222b on Tuesday December 21, 2021 @06:30AM (#29636331)
> The magnitude of 2^256 is close to the count of atoms in the entire observable universe.

I've always heard that even 2¹²⁸ is significantly larger than that number (which is closer to 2⁸⁰). This page seems to support that:

https://en.wikipedia.org/wiki/Observable_universe#Matter_con...

Re:All Bitcoin private keys are on this website by codeflo on Tuesday December 21, 2021 @06:52AM (#29636482)
Look more carefully, the estimation according to Wikipedia is 10^80, which is roughly 2^266.

(BTW, when converting 10^x to 2^x, times 3 is what I use for very rough back of the envelope estimations. Times 10/3 is actually almost precise, as log2(10) = 3.32…)

Re:All Bitcoin private keys are on this website by 5e92cb50239222b on Tuesday December 21, 2021 @07:16AM (#29636626)
Ah, so it's just me being stupid, as usual. Thanks, at least now I know.
Re:All Bitcoin private keys are on this website by FabHK on Tuesday December 21, 2021 @10:11AM (#29638082)
> log2(10) = 3.32

or, to put it in simpler terms,

10^3 = 1000 ≈ 1024 = 2^10

Re:All Bitcoin private keys are on this website by V1ndaar on Tuesday December 21, 2021 @06:40AM (#29636401)
Nope, the rough approximation of atoms in the universe is O(10^80). Big difference!
Re:All Bitcoin private keys are on this website by rvense on Tuesday December 21, 2021 @07:01AM (#29636531)
Quickly checking with Python...

2^265 < 10^80 > 2^266

So it's only 0.1% of the number of atoms in the universe?

Re:All Bitcoin private keys are on this website by codeflo on Tuesday December 21, 2021 @07:22AM (#29636665)
“Only”.