Grand Mega

Grand Mega is equal to Circle(3) or ③ or Pentagon(3) in Steinhaus-Moser notation, or M(3,3) using Hyper-Moser notation. The term was coined by Aarex Tiaokhiao.Large Numbers by Aarex Tiaokhiao Sbiis Saibian calls this number triton.
The last 17 digits of the grand mega are ...,49,185,706,013,721,627.Allam's Numbers
In up-arrow notation, Grand Mega is between and .
This number is approximately 10↑↑10↑↑101040.
Using the general notation proposed by Susan Stepney, Grand Mega can be bounded more precisely in Hyper-E notation:
\[E17,137,024,398,162,597,813,435,790,035,277,831,527,408\#(3[4]_{2}+3[4]_{1}+1)\\ < \text{Grand Mega} <\\ E17,137,024,398,162,597,813,435,790,035,277,831,527,409\#(3[4]_{2}+3[4]_{1}+1)\]
where
\[E17,137,024,398,162,597,813,435,790,035,277,831,527,408\#(3[4]_{1}+1)\\ < 3[4]_{2} <\\ E17,137,024,398,162,597,813,435,790,035,277,831,527,409\#(3[4]_{1}+1),\]
\[E17,137,024,398,162,597,813,435,790,035,277,831,527,368\#1\\ < 3[4]_{1} <\\ E17,137,024,398,162,597,813,435,790,035,277,831,527,369\#1,\]
\[3[4]_{1} = 3[3]_{3} = 3[3][3][3] = (27^{27})^{(27^{27})},\]
\[3[4]_{2} = 3[4]_{1}[4]_{1} = 3[3]_{3}[4]_{1} = 3[3]_{3}[3]_{3[3]_{3}}.\]
==Sources==
==See also==
Category:Numbers
Category:Numbers by Aarex Tiaokhiao
Category:Up-arrow notation level
Category:Hyper-Moser numbers
Category:Powers of 3