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BusyBeaver(6) Is Quite Large

(scottaaronson.blog)
271 points bdr | 2 comments | 28 Jun 25 16:53 UTC | HN request time: 0.532s | source
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seeknotfind ◴[28 Jun 25 17:25 UTC] No.44406443[source]▶
> So I said, imagine you had 10,000,000sub10 grains of sand. Then you could … well, uh … you could fill about 10,000,000sub10 copies of the observable universe with that sand.

I don't get this part. Is it really rounding away the volume of the observable universe divided by the average volume of a grain of sand? That is many more orders of magnitude than the amount of mass in the universe, which is a more usual comparison.

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1. Scarblac ◴[28 Jun 25 17:32 UTC] No.44406508[source]▶
Yes, that's only some normal number amount of orders of magnitude. Even 10,000,000^10,000,000 is already so large that it doesnt matter, let alone after exponentiating _the exponent_ nine times more.
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2. wizzwizz4 ◴[29 Jun 25 07:31 UTC] No.44410994[source]▶
It's the other way around: we're talking about 10^(10^(10^(10^…))) (which is vastly bigger).