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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.[1] Sbiis Saibian calls this number triton.[2]

The last 17 digits of the grand mega are ...,49,185,706,013,721,627.[3]

In up-arrow notation, Grand Mega is between \(3 \uparrow\uparrow\uparrow 4\) and \(3 \uparrow\uparrow\uparrow 5\).

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[]

Mega series: Mega · A-ooga (Megision) · Megisiduon · Megisitruon · Megisiquadruon
Grand Mega series: Grand Mega · Grand Megision · Grand Megisiduon (A-oogra) · Grand Megisitruon · Grand Megisiquadruon
Great Mega series: Great Mega · Great Megision · Great Megisiduon · Great Megisitruon (A-oogrea) · Great Megisiquadruon
Gong Mega series: Gong Mega · Gong Megision · Gong Megisiduon · Gong Megisitruon · Gong Megisiquadruon (A-oogonga)
Hexomega series: Hexomega · Hexomegision · Hexomegisiduon · Hexomegisitruon · Hexomegisiquadruon · Hexomegisiquinton (A-oohexa)
Heptomega series: Heptomega · A-oohepta (Heptomegisisexton) · Octomega · A-oocta · Nonomega · A-ooennea
Megistron series: Megiston (Megistron) · Megisiplextron · Megisiduplextron · Megisitriplextron · Megisiquadruplextron · A-oomega (Megisienneaplextron)
A-ooga series: A-ooga · Betomega (A-oogatiplex) · A-oogatiduplex · A-oogatitriplex · A-oogatiquadruplex · A-oogatiquintiplex
A-oogra series: A-oogra · A-oogratiplex · Betogiga (A-oogratiduplex) · A-oogratitriplex · A-oogratiquadruplex · A-oogratiquintiplex
A-oogrea series: A-oogrea · A-oogreatiplex · A-oogreatiduplex · Betotera (A-oogreatitriplex) · A-oogreatiquadruplex · A-oogreatiquintiplex
A-oogonga series: A-oogonga · A-oogongatiplex · A-oogongatiduplex · A-oogongatitriplex · Betopeta (A-oogongatiquadruplex) · A-oogongatiquintiplex
A-oohexa series: A-oohexa · A-oohexatiplex · A-oohexatiduplex · A-oohexatitriplex · A-oohexatiquadruplex · Betoexa (A-oohexatiquintiplex)
A-oohepta series: A-oohepta · Betozetta (A-ooheptatisextiplex) · A-oocta · Betoyotta · A-ooennea · Betoxota
A-oomega series: A-oomega · A-oomegatiplex · A-oomegatiduplex · A-oomegatitriplex · A-oomegatiquadruplex · Betodaka (A-oomegatienneaplex)
Betomega series: Betomega · Flexinega (Brantomega) · Breatomega · Bigiatomega · Biquadriatomega · Biquintiatomega
Betogiga series: Betogiga · Brantogiga · Flexitria (Breatogiga) · Bigiatogiga · Biquadriatogiga · Biquintiatogiga
Betotera series: Betotera · Brantotera · Breatotera · Flexitera (Bigiatotera) · Biquadriatotera · Biquintiatotera
Betopeta series: Betopeta · Brantopeta · Breatopeta · Bigatopeta · Flexipera (Biquadriatopeta) · Biquintiatopeta
Betoexa series: Betoexa · Brantoexa · Breatoexa · Bigatoexa · Biquadriatoexa · Flexiexa (Biquintiatoexa)
Betozetta series: Betozetta · Flexizetta · Betoyotta · Betoxota · Betodaka
Flexinega series: Flexinega · Oktia (Fainega) · Funnynega · Ftetrinega · Fpentinega · Fhexinega
Flexitria series: Flexitria · Faitria · Oktria (Funnytria) · Ftetritria · Fpentitria · Fhexitria
Flexitera series: Flexitera · Faitera · Funnytera · Oktetra (Ftetritera)
Moser series: Moser · Grand Moser · Great Moser · Gong Moser
Maser series: Maser · Miser (Killaser) · Meser · Muser

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