Googology Wiki 15th anniversary special series

is a series of numbers defined by wiki user . These numbers are either ex-deleted googolisms on Googology Wiki for having no sources given, ill-defined numbers, series based off those deleted googolisms, or irrational/transcendental numbersWeb archive showing title of serieshttps://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-11-13.
The series name was originally called [series name to be revealed], but the creator revealed the name of the series on Dec 7, 2023https://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-12-07, nearly coinciding with the 15th anniversary of Googology Wiki, hence the name.
Please note that not all numbers included here are well-defined.
Please additionally note that the name of some numbers here are based on the creator's own terminology/expectation.
Unfortunately, the creator abandoned this series with reason "deleting the series after Christmas 2023 because the last few numbers of the series should be legitimately added until the Christmas Day in order to finalize the entire series which is a pure joke and is completely insincere, as well as numerous issues; however, the numbers will be kept and transferred to another page"https://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-12-18.
== List of numbers ==
# 	Name 	Value 	FGH approximationThis involves using the fundamental sequences associated to Extended Buchholz's function for the \(\psi_0\) expression, and fundamental sequences claimed by Redstonepillager to be associated with Rathjen's psi function (based on a weakly mahlo cardinal), though no source from Rathjen's work is provided for the \(\psi_\Omega\) expression.
2 	Urillion 	106663 	\(f_2 (22120)\)
3 	Edwin Shade's number 	\(\{100,100,e,\pi\}\) in BEAFIll-defined, as nobody has yet defined real-valued recursion. 	N/A
4 	brb im gonna let off some steam 	\(f_{\omega +1}(\)\(e^{\pi\sqrt{163}}\)\()\) 	\(f_{\omega +1}(262,537,412,640,768,744)\)
5 	Godsgolastedeuriagulubash 	\((0,0,0)(1,1,1)(1,1,1)[100]\) using Bashicu matrix system version 2.3 = 4Since BMS has no proof of termination beyond pair sequence system, whether this number is well-defined is an unsolved problem in mathematics. 	\(f_{\psi_0(\Omega_\omega 2)}(10000)\)
6 	rampant collapsing e number 	\(E[1279]1279\#\{\&_{666}\}\# >\#\{\&_{665}\}\# >\#\{\&_{664}\}\# >\ldots \dots \ldots \ldots >\#\{\&_3\}\# >\#\{\&_2\}\# >\#\{\&\}\# 1279 \) using Extended Collapsing-E NotationIll-defined, as the notation is currently incomplete. 	\(f_{\psi_0(\Omega_{666} \psi_0(\Omega_{665} \psi_0(\Omega_{664} \psi_0(\ldots \ldots \psi_0(\Omega_3 \psi_0(\Omega_2 \varphi(1,0,0,0))) \ldots \ldots))))}(1279)\)
7 	googil 	\(10 \uparrow ^{100} 100\) 	\(f_\omega (100)\)
8 	Do you believe in jazz? 	X^{X^3 2+X^2 *2+2X})2\}\) using BEAF climbing interpretation with infinity barrier 	\(f_{\varepsilon_{\omega^{\omega ^32+\omega ^22 +\omega 2}}+\omega}(100)\)
9 	Springoogolhttps://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-11-19 	googolgoogol*googol = 1010202 	\(f^2 _2 (655)\)
10	Schmittyoogol 	103*103*10^^((springoogol-1)4182001)+3 = \(10^{\underbrace{3\times 10^{3\times 10^{.^{.^{.^{3\times 10^{4182001}}}}}}}_{\text{springoogol}\ 3\times 10\text{'s}} + 3}\) (note that the ^^ doesn't mean tetration) 	\(f_3(f^2 _2 (655))\)
11	BaIlium's number 	\((794{,}843{,}294{,}078{,}147{,}843{,}293.7 + 1/30) \times e^{\pi^{e^\pi}}\) using hypermathematicsIll-defined as hypermathematics has not been formalised with non-integer real numbers. 	N/A
12	Cyperal 	\(\{65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42\}\) in BEAF 	\(f_{\omega^{\omega2+1}+\omega^{\omega+1}}(f_2^2(326))\)
13	Cyperalplexhttps://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-11-20 	\(\{65,10^{10^{100}}(\text{cyperal})1000,10^{100}(\text{cyperal})7 \times 10^{1623},42\}\) in BEAF 	\(f_{\omega^{\omega^{\text{cyperal}}2+1}+\omega^{\omega+1}}(f_2^2(326))\)
14	Dyperal 	\(\{65,10^{10^{100}}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)1000,10^{100}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)7 \times 10^{1623},42\}\) in BEAF 	\(f_{\omega^{\omega^{\omega^{\omega2+1}42+(7 \times 10^{1623})+\omega10^{10^{100}}+65}2+1}+\omega^{\omega+1}}(f_2^2(326))\)
15	Tryperal 	\(\{65,10^{10^{100}}(65,10^{10^{100}}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)1000,10^{100}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)7 \times 10^{1623},42)1000,10^{100}(65,10^{10^{100}}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)1000,10^{100}(65,10^{10^{100}}(1)1000,10^{100}(1)7 \times 10^{1623},42)7 \times 10^{1623},42)7 \times 10^{1623},42\}\) in BEAF	TBD
16	Rampant tetrational BEAF 	666^^665^^664^^663^^... ... ... ... ... ...^^4^^3^^2 & 1279 in BEAF 	\(f_{\zeta_0}(666)\) (non-climbing), \(f_{\Gamma_0}(666)\) (climbing)
17	Kuiw tsinstrong intscharmei intschau inkripfjer splatteck 	s(100,100{1,,2{1,,2,,}2}2) in SAN 	\(f_{\psi_\Omega(\psi_{\chi_{\varepsilon_{M+1}}(0)}(0))}(100)\)
18	Square root array descend 	{√100,√99,√98,√97,... ... ... ...,√3,√2} in BEAF 	N/A
20	Schmitty toilet grimace schneider wyoming 	\(f_{\psi(\psi_{I_\omega}(0))}(2^{69420}-1)\) with respect to an unspecified (and perhaps ill-defined) OCF \(\psi\) and an unspecified (and perhaps ill-defined) system of fundamental sequences 	N/A
22	RubiFinitshttps://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-12-03 	\(\{10,10[1[1 \neg 1 \neg 1 \neg 69]2]2,69420\}\) (Hierarchical hyper-nested array notation) 	\(f_{\psi_0(\Omega_2^3 68)(\omega69419+1)}(10)\)
23	Kuwerteewiyopheipfleet 	\((1337!69)![1(1)[_2 34,56,78,90,12]]\) using Hyperfactorial array notation 	\(f_{\psi_0(\Omega_2 ^2)}(f_{71}(1337))\)
24	Gollinoogolool 	1365727591 	\(f_2(26)\)
25	Sadrintipelillion 	\(10^{3 \times 10^{\omega_1}+3}\) where \(\omega_1\) denotes the First uncountable ordinalPlease note that this statement is not based on actual evidence or sourced facts. 	N/A
26	rampant esdann number 	s(1279,9721{1279{666`,,665`,,664`,,663`,, ... ... ... ... ... ... `,,4 `,,3,,}2}9721) using Strong array notation (current definition)https://sites.google.com/view/rpillagergoogology/randomstuff#h.hkqtdttuy71 Accessed 2023-12-08 	\(f_{C(C(\Omega_2 2+C(\Omega_2+C(C(\Omega_2,C(\Omega_2,C(\Omega_2 2,0)))\omega,C(\Omega_2,C(\Omega_2 2,0))),0),0),0)}(666)\) (using Taranovsky's C)
27	The Whopultra 	\(\{10,100/2\} \&\& 10\) using BEAF 	\(f_{\psi_0(\Omega_\omega +\psi_0(\Omega_\omega +\psi_0(\Omega_\omega)))}(100)\)
28	400 Bad Request 	\(400$[0,1,2,3,4,5,\ldots\ldots\ldots,10^{100}-3,10^{100}-2,10^{100}-1,10^{100},10^{100}-1,10^{100}-2,10^{100}-3,\ldots\ldots\ldots,5,4,3,2,1]\) using Dollar function 	\(f_{\psi_{\Omega}(\chi_1(0)^{\chi_1(0)^{\omega}})}(f_2(325))\)
29	Bad title(SHIFT)Special page(SHIFT)The requested title contains invalid characters:"(INVALID CHARACTER)"(SHIFT)Return to Googology Wiki.	0.1123581321345589144233377610987159725844181... ... ... ... (concatenation of the numbers of fibonacci sequence in base 10) 	N/A
30	Ultic 	512.129939994 	\(f_1(256)\)
31	Ultikillion 	\(10^{3 \times 10^{512.129939994}+3}\) 	\(f^2_2(1694)\)
32	The True Borderline 	OblivionOblivion 	Ill-defined uncomputable naive extension
33	Pogillion 	\(10\uparrow\uparrow 69\) 	\(f_3(68)\)
34	Can anyone tell me if this is a real math equation or not? if so, what is the answer? 	1423467242672897682 	\(f^2_2(35)\)
35	meow~ 	(E100#^#100#(G(64)+1))![1(1)[<1,2>1]] 	\(f_{\psi_\Omega(\Phi_1(0))}(f_{\omega^\omega +1}(f_{\omega+1}(64)))\)
==Footnotes==
==Sources==
Category:Numbers
Category:Numbers by Redstonepillager
Category:Series
Category:Long name
Category:Irregular names
Category:Class 0
Category:Class 1
Category:Class 2
Category:Class 3
Category:Tetration level
Category:Up-arrow notation level
Category:Linear omega level
Category:Polynomial omega level
Category:Exponentiated linear omega level
Category:Double exponentiated polynomial omega level
Category:Triple exponentiated polynomial omega level
Category:Iterated Cantor normal form level
Category:Epsilon level
Category:Binary phi level
Category:Bachmann's collapsing level
Category:Higher computable level
Category:Uncomputable
Category:Naive extensions
Category:Incomplete
Category:Unclassed
Category:Class disputed
Category:Unformalised
Category:Humor