On this page there is a reference to Knuth's conjecture but it says he starts with 4
But since
3 == |_sqrt(sqrt(|_sqrt(sqrt(sqrt(sqrt(sqrt(4!!)))))_|!))_|
and
4 == |_sqrt(sqrt(sqrt(sqrt(sqrt(sqrt((|_sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(((|sqrt(sqrt(3!!))_|)!)!)))))))_|)!))))))_|
both "conjectures" are equivalent.
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