On 2012-09-06, Tim Little <t...@little-possums.net> wrote:
> It does seem likely that every integer can be generated this way,All the positive ones, anyway.
> The number of square roots required would become insanely large veryJust to follow up on this, 3! = 6 (which also yields 2 and 1 with
square roots). 3!! = 720, reducing to 5 in two square root. 3!!! has
1747 digits and reduces down to 7 in 12 square roots. The smallest
unreached number at this point is 4.
3!!!! has about 4.54*10^1749 digits. That's still not too bad, it
The next iterate, 3!!!!! has more digits than I can conveniently
It only gets worse from there.
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