Property | Value |
rdfs:label | |
rdfs:comment | - The hyper-leviathan number is defined like so: 1.
* Let \(|1|_1(x) = x\). 2.
* Let \(|1|_n(x) = \prod^{x}_{i = 1} |1|_{n - 1}(i) = x!n\) 3.
* Let \(|2|_1(x) = |1|_x(x) = T(x)\) using the Torian. 4.
* Let \(|2|_n(x) = \prod^{x}_{i = 1} |2|_{n - 1}(i)\) 5.
* Let \(|3|_1(x) = |2|_x(x)\). 6.
* Let \(|3|_n(x) = \prod^{x}_{i = 1} |3|_{n - 1}(i)\) 7.
* Continue in this fashion. Now define \(||1||_1(x) = |x|_x(x)\). 8.
* Let \(||1||_n(x) = \prod^{x}_{i = 1} ||1||_{n - 1}(i)\) 9.
* Let \(||2||_1(x) = ||1||_x(x)\). 10.
* Let \(||2||_n(x) = \prod^{x}_{i = 1} ||2||_{n - 1}(i)\) 11.
* Let \(||3||_1(x) = ||2||_x(x)\). 12.
* Let \(||3||_n(x) = \prod^{x}_{i = 1} ||3||_{n - 1}(i)\) 13.
* Continue in this fashion. Now define \(|||1|||_1(x) = ||x
|
dcterms:subject | |
dbkwik:googology/property/wikiPageUsesTemplate | |
abstract | - The hyper-leviathan number is defined like so: 1.
* Let \(|1|_1(x) = x\). 2.
* Let \(|1|_n(x) = \prod^{x}_{i = 1} |1|_{n - 1}(i) = x!n\) 3.
* Let \(|2|_1(x) = |1|_x(x) = T(x)\) using the Torian. 4.
* Let \(|2|_n(x) = \prod^{x}_{i = 1} |2|_{n - 1}(i)\) 5.
* Let \(|3|_1(x) = |2|_x(x)\). 6.
* Let \(|3|_n(x) = \prod^{x}_{i = 1} |3|_{n - 1}(i)\) 7.
* Continue in this fashion. Now define \(||1||_1(x) = |x|_x(x)\). 8.
* Let \(||1||_n(x) = \prod^{x}_{i = 1} ||1||_{n - 1}(i)\) 9.
* Let \(||2||_1(x) = ||1||_x(x)\). 10.
* Let \(||2||_n(x) = \prod^{x}_{i = 1} ||2||_{n - 1}(i)\) 11.
* Let \(||3||_1(x) = ||2||_x(x)\). 12.
* Let \(||3||_n(x) = \prod^{x}_{i = 1} ||3||_{n - 1}(i)\) 13.
* Continue in this fashion. Now define \(|||1|||_1(x) = ||x||_x(x)\). 14.
* Let \(|||1|||_n(x) = \prod^{x}_{i = 1} |||1|||_{n - 1}(i)\) 15.
* Let \(|||2|||_1(x) = |||1|||_x(x)\). 16.
* Let \(|||2|||_n(x) = \prod^{x}_{i = 1} |||2|||_{n - 1}(i)\) 17.
* Let \(|||3|||_1(x) = |||2|||_x(x)\). 18.
* Let \(|||3|||_n(x) = \prod^{x}_{i = 1} |||3|||_{n - 1}(i)\) 19.
* Continuing in this fashion, the hyper-leviathan number is \(\underbrace{|||\ldots|||}_{10^{666}}10^{666}\underbrace{|||\ldots|||}_{10^{666}}{}_{10^{666}}\left(10^{666}ight)\).
|