Flan number 1

Flan number 1 (Japanese: フラン数第一形態), the smallest of the six non-trivial Flan numbers, is the first version of Flan number coined by Japanese googologist 巨大数大好きbot.巨大数大好きbot, Definition of Flan number 1, twitter. The number is approximately \(10^{10^{10^{670,767}}}\).
== Names in -illions ==
Using Saibian's generalization of Bowers' -illions, the number is approximately:Large Numbers - 2.4.8 - Bowers' -illions
== Approximations ==
Notations 	Approximations
Scientific notation 	\(10^{10^{10^{670,767}}}\)
Arrow notation 	\(10 \uparrow 10 \uparrow 10 \uparrow 670767\)
Chained arrow notation 	\(10 \rightarrow (10 \rightarrow (10 \rightarrow 670767))\)
Hyper-E notation 	\(E670\ 767\#3\)
BEAF 	\(\{10,\{10,\{10,670767\}\}\}\)
Hyperfactorial array notation	\(((142156!)!)!\)
Steinhaus-Moser Notation 	\(131072[3][3][3]\)
Ampersand Notation 	\(131072[][][]\)
Fast-growing hierarchy 	\(f_2^4(16)\)
Hardy hierarchy 	\(H_{\omega^2 4}(16)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^{\omega^5 6 + \omega^4 7}}}}(10)\)
== External link ==
* 西宮 七南-解説channel, ゆっくりと学ぶ巨大数論～フラン数第一形態～, YouTube. (A Japanese video explaining フラン数第一形態)
== References ==
Category:Numbers
Category:Non-powers
Category:Class 4
ja:フラン数第一形態