PropertyValue
rdfs:label
  • Grand Mega
rdfs:comment
  • In up-arrow notation, Grand Mega is between \(3 \uparrow\uparrow\uparrow 4\) and \(3 \uparrow\uparrow\uparrow 5\). Using the general notation proposed by Susan Stepney, Grand Mega can be bounded more precisely in Hyper-E notation: \[E17137024398162597813435790035277831527408\#(3[4]_{2}+3[4]_{1}+1)\\ < ext{Grand Mega} <\\ E17137024398162597813435790035277831527409\#(3[4]_{2}+3[4]_{1}+1)\] where \[E17137024398162597813435790035277831527408\#(3[4]_{1}+1)\\ < 3[4]_{2} <\\ E17137024398162597813435790035277831527409\#(3[4]_{1}+1),\] \[3[4]_{1} = 3[3]_{3} = 3[3][3][3] = (27^{27})^{(27^{27})},\]
dcterms:subject
dbkwik:googology/property/wikiPageUsesTemplate
abstract
  • In up-arrow notation, Grand Mega is between \(3 \uparrow\uparrow\uparrow 4\) and \(3 \uparrow\uparrow\uparrow 5\). Using the general notation proposed by Susan Stepney, Grand Mega can be bounded more precisely in Hyper-E notation: \[E17137024398162597813435790035277831527408\#(3[4]_{2}+3[4]_{1}+1)\\ < ext{Grand Mega} <\\ E17137024398162597813435790035277831527409\#(3[4]_{2}+3[4]_{1}+1)\] where \[E17137024398162597813435790035277831527408\#(3[4]_{1}+1)\\ < 3[4]_{2} <\\ E17137024398162597813435790035277831527409\#(3[4]_{1}+1),\] \[E17137024398162597813435790035277831527368\#1\\ < 3[4]_{1} <\\ E17137024398162597813435790035277831527369\#1,\] \[3[4]_{1} = 3[3]_{3} = 3[3][3][3] = (27^{27})^{(27^{27})},\] \[3[4]_{2} = 3[4]_{1}[4]_{1} = 3[3]_{3}[4]_{1} = 3[3]_{3}[3]_{3[3]_{3}}.\]