ExE numbers 4
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Gaspgol regiment
(2729-2860)
Introduction
"Gaspgol", which is named after "gasp googol", is the 7th regiment in ExE. It is defined as:
*gaspgol = E100#100#100#100#100#100#100 = E100##7
So, we have no problems coining the new suffix... which is "heptex".
Before that, we consider other low-tier suffixes which are no match with the next one:
gaspgolplex = E(E100#100#100#100#100#100#100)
gaspgoldex = E100#(E100#100#100#100#100#100#100)
gaspgolthrex = E100#100#(E100#100#100#100#100#100#100)
gaspgoltetrex = E100#100#100#(E100#100#100#100#100#100#100)
gaspgolpentex = E100#100#100#100#(E100#100#100#100#100#100#100)
gaspgolhex = E100#100#100#100#100#(E100#100#100#100#100#100#100)
= E100#100#100#100#100#100#101
Now, we can have these numbers now:
gaspgolheptex = E100#100#100#100#100#100#100#2
gaspgolduheptex = E100#100#100#100#100#100#100#3
gaspgoltriheptex = E100#100#100#100#100#100#100#4
(2729) gaspgolquadriheptex = E100#100#100#100#100#100#100#5
(2730) gaspgolquintiheptex = E100#100#100#100#100#100#100#6
...
(2731) gaspgoldeciheptex = E100#100#100#100#100#100#100#11
gaspgolcentiheptex = E100#100#100#100#100#100#100#101
...
(2732) gaspgol-googoliheptex = E100#100#100#100#100#100#100#(E100+1)
... skip for now ...
(2733) gaspgol-gorgegoliheptex = E100#100#100#100#100#100#100#(E100##6+1)
(2734) gaspgol-gulgoliheptex = E100#100#100#100#100#100#100#(E100##6+1)
(2735) gaspgol-gaspgoliheptex = E100#100#100#100#100#100#100#(E100##7+1)
Base modifier (part 7)
To prevent the expression from getting longer, I will use the short-form notation E(n#)^k x, means En#n#n#...k times...n#n#x.
gaspgolding = E500#500#500#500#500#500#500 = E500##7
(2736) gaspgolheptexiding = E500#500#500#500#500#500#500#2
etc.
gaspgolchime = E1000#1000#1000#1000#1000#1000#1000 = E1000##7
gaspgolheptexichime = E1000#1000#1000#1000#1000#1000#1000#2 = E(1000#)^7 2 (short form, (1000#)^7 means, repeated 7 times)
gaspgolduheptexichime = E1000#1000#1000#1000#1000#1000#1000#3 = E(1000#)^7 3 (short form)
(2737) gaspgoltriheptexichime = E(1000#)^7 4 (short form)
etc.
gaspgolbell = E5000#5000#5000#5000#5000#5000#5000 = E5000##7
(2738) gaspgolheptexibell = E(5000#)^7 2 (short form)
etc.
gaspgoltoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000 = E10,000##7
gaspgolheptexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
gaspgolduheptexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
(2739) gaspgoltriheptexitoll = E(10,000#)^7 4 (short form)
etc.
(2740) gaspgolring = E50,000##7
(2741) gaspgolheptexiring = E(50,000#)^7 2
etc.
gaspgolgong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000 = E100,000##7
gaspgolheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 = E(100,000#)^7 2
gaspgolduheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3 = E(100,000#)^7 3
(2742) gaspgoltriheptexigong = E(100,000#)^7 4 (short form)
etc.
(2743) gaspgolclang = E500,000##7
(2744) gaspgolheptexiclang = E(500,000#)^7 2
etc.
gaspgolbong
= E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000 = E100,000,000##7
gaspgolheptexibong
= E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2 = E(100,000,000#)^7 2
(2745) gaspgoltriheptexibong = E(100,000,000#)^7 3
etc.
gaspgolthrong = E100,000,000,000##7
gaspgolheptexithrong = E(100,000,000#)^7 2
(2746) gaspgolduheptexithrong = E(100,000,000#)^7 3
etc.
gaspgolgandingan = E(10^14)##7
etc.
and so on...
Combining gagol with other suffixes
When gagol = 10{7}100 collides with suffixes here...
gagolding = E1#1#1#1#1#1#500 = 10{7}500
gagolchime = E1#1#1#1#1#1#1000 = 10{7}1000
gagolbell = E1#1#1#1#1#1#5000 = 10{7}5000
gagoltoll = E1#1#1#1#1#1#10,000 = 10{7}10,000
(2747) gagolring = E1#1#1#1#1#1#50,000 = 10{7}50,000
gagolgong = E1#1#1#1#1#1#100,000 = 10{7}100,000
(2748) gagolclang = E1#1#1#1#1#1#500,000 = 10{7}500,000
gagolbong = E1#1#1#1#1#1#100,000,000 = 10{7}100,000,000
gagolthrong = E1#1#1#1#1#1#100,000,000,000 = 10{7}100,000,000,000
gagolgandingan = E1#1#1#1#1#1#10^14 = 10{7}10^14
...
gagolplex or (2749) gagolheptex = E1#1#1#1#1#1#100#2 = 10{7}10{7}100
(2750) gagolplexiding or (2751) gagolheptexiding = E1#1#1#1#1#1#500#2 = 10{7}10{7}500
(2752) gagolplexichime or (2753) gagolheptexichime = E1#1#1#1#1#1#1000#2 = 10{7}10{7}1000
(2754) gagolplexibell or (2755) gagolheptexibell = E1#1#1#1#1#1#5000#2 = 10{7}10{7}5000
(2756) gagolplexitoll or (2757) gagolheptexitoll = E1#1#1#1#1#1#10,000#2 = 10{7}10{7}10,000
(2758) gagolplexiring or (2759) gagolheptexiring = E1#1#1#1#1#1#50,000#2 = 10{7}10{7}50,000
(2760) gagolplexigong or (2761) gagolheptexigong = E1#1#1#1#1#1#100,000#2 = 10{7}10{7}100,000
(2762) gagolplexiclang or (2763) gagolheptexiclang = E1#1#1#1#1#1#500,000#2 = 10{7}10{7}500,000
(2764) gagolplexibong or (2765) gagolheptexibong = E1#1#1#1#1#1#100,000,000#2 = 10{7}10{7}100,000,000
(2766) gagolplexithrong or (2767) gagolheptexithrong = E1#1#1#1#1#1#(E11)#2 = 10{7}10{7}10^11
(2767.1) gagolplexigandingan or (2767.2) gagolheptexigandingan = E1#1#1#1#1#1#(E14)#2 = 10{7}10{7}10^14
Intermediate numbers part 7
googolheptex = E100#1#1#1#1#1#1#2
(2768) googolheptexigong = E100,000#1#1#1#1#1#1#2
(2769) googolplexiheptex = E100#2#1#1#1#1#1#2
grangolheptex = E100#100#1#1#1#1#1#2
(2770) grangolheptexigong = E100,000#100,000#1#1#1#1#1#2
(2771) googoldexiheptex = E100#1#2#1#1#1#1#2
(2772) grangoldexiheptex = E100#100#2#1#1#1#1#2
greagolheptex = E100#100#100#1#1#1#1#2
(2773) greagolheptexigong = E100,000#100,000#100,000#1#1#1#1#2
(2774) googolthrexiheptex = E100#1#1#2#1#1#1#2
(2775) grangolthrexiheptex = E100#100#1#2#1#1#1#2
(2776) greagolthrexiheptex = E100#100#100#2#1#1#1#2
gigangolheptex = E100#100#100#100#1#1#1#2
(2777) gigangolheptexigong = E100,000#100,000#100,000#100,000#1#1#1#2
(2778) googoltetrexiheptex = E100#1#1#1#2#1#1#2
(2779) grangoltetrexiheptex = E100#100#1#1#2#1#1#2
(2780) greagoltetrexiheptex = E100#100#100#1#2#1#1#2
(2781) gigangoltetrexiheptex = E100#100#100#100#2#1#1#2
gorgegolheptex = E100#100#100#100#100#1#1#2
(2782) gorgegolheptexigong = E100,000#100,000#100,000#100,000#100,000#1#1#2
(2783) googolpentexiheptex = E100#1#1#1#1#2#1#2
(2784) grangolpentexiheptex = E100#100#1#1#1#2#1#2
(2785) greagolpentexiheptex = E100#100#100#1#1#2#1#2
(2786) gigangolpentexiheptex = E100#100#100#100#1#2#1#2
(2787) gorgegolpentexiheptex = E100#100#100#100#100#2#1#2
gulgolheptex = E100#100#100#100#100#100#1#2
(2788) gulgolheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#1#2
(2789) googolhexiheptex = E100#1#1#1#1#1#2#2
(2790) grangolhexiheptex = E100#100#1#1#1#1#2#2
(2791) greagolhexiheptex = E100#100#100#1#1#1#2#2
(2792) gigangolhexiheptex = E100#100#100#100#1#1#2#2
(2793) gorgegolhexiheptex = E100#100#100#100#100#1#2#2
gulgolhexiheptex = E100#100#100#100#100#100#2#2
(2794) gulgolhexiheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#2#2
gulgolduhexiheptex = E100#100#100#100#100#100#3#2
(2795) gulgolduhexiheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#3#2
...
(2796) googolduheptex = E100#1#1#1#1#1#1#3
(2797) grangolduheptex = E100#100#1#1#1#1#1#3
(2798) greagolduheptex = E100#100#100#1#1#1#1#3
(2799) gigangolduheptex = E100#100#100#100#1#1#1#3
(2800) gorgegolduheptex = E100#100#100#100#100#1#1#3
(2801) googolpentexiduheptex = E100#1#1#1#1#2#1#3
(2802) grangolpentexiduheptex = E100#100#1#1#1#2#1#3
(2803) greagolpentexiduheptex = E100#100#100#1#1#2#1#3
(2804) gigangolpentexiduheptex = E100#100#100#100#1#2#1#3
(2805) gorgegolpentexiduheptex = E100#100#100#100#100#2#1#3
gulgolduheptex = E100#100#100#100#100#100#1#3
(2806) gulgolduheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#1#3
(2807) googolhexiduheptex = E100#1#1#1#1#1#2#3
(2808) gorgegolhexiduheptex = E100#100#100#100#100#1#2#3
gulgolhexiduheptex = E100#100#100#100#100#100#2#3
(2809) gulgolhexiduheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#2#3
gulgolduhexiduheptex = E100#100#100#100#100#100#3#3
(2810) gulgolduhexiduheptexigong = E100,000#100,000#100,000#100,000#100,000#100,000#3#3
etc.
...
(2811) milliheptexion = E6#1#1#1#1#1#1#2
(2812) millipentexiheptexion = E6#1#1#1#1#2#1#2
(2813) millihexiheptexion = E6#1#1#1#1#1#2#2
(2814) milliduhexiheptexion = E6#1#1#1#1#1#3#2
(2815) milliduheptexion = E6#1#1#1#1#1#1#3
...
eceto-gaspgol = E303#303#303#303#303#303#303 = E303##7
ecetonheptex = E303#1#1#1#1#1#1#2
(2816) ecetonplexiheptex = E303#2#1#1#1#1#1#2
(2817) eceto-grangolheptex = E303#303#1#1#1#1#1#2
(2818) ecetondexiheptex = E303#1#2#1#1#1#1#2
(2819) eceto-greagolheptex = E303#303#303#1#1#1#1#2
(2820) ecetonthrexiheptex = E303#1#1#2#1#1#1#2
(2821) eceto-gigangolheptex = E303#303#303#303#1#1#1#2
(2822) ecetontetrexiheptex = E303#1#1#1#2#1#1#2
(2823) eceto-gorgegolheptex = E303#303#303#303#303#1#1#2
(2824) ecetonpentexiheptex = E303#1#1#1#1#2#1#2
(2825) eceto-gulgolheptex = E303#303#303#303#303#303#1#2
(2826) ecetonhexiheptex = E303#1#1#1#1#1#2#2
(2827) ecetonduhexiheptex = E303#1#1#1#1#1#3#2
eceto-gaspgolheptex = E303#303#303#303#303#303#303#2
...
ecetonduheptex = E303#1#1#1#1#1#1#3
(2828) ecetonplexiduheptex = E303#2#1#1#1#1#1#3
(2829) eceto-grangolduheptex = E303#303#1#1#1#1#1#3
(2830) ecetondexiduheptex = E303#1#2#1#1#1#1#3
(2831) eceto-greagolduheptex = E303#303#303#1#1#1#1#3
(2832) ecetonthrexiduheptex = E303#1#1#2#1#1#1#3
(2833) eceto-gigangolduheptex = E303#303#303#303#1#1#1#3
(2834) ecetontetrexiduheptex = E303#1#1#1#2#1#1#3
(2835) eceto-gorgegolduheptex = E303#303#303#303#303#1#1#3
(2836) ecetonpentexiduheptex = E303#1#1#1#1#2#1#3
(2837) eceto-gulgolduheptex = E303#303#303#303#303#303#1#3
(2838) ecetonhexiduheptex = E303#1#1#1#1#1#2#3
(2839) ecetonduhexiduheptex = E303#1#1#1#1#1#3#3
eceto-gaspgolduheptex = E303#303#303#303#303#303#303#3
etc.
Enna-towers (ennaxis)
Lastly the -ennaxis series...
tria-ennaxis = E1#1#1#1#1#1#1#3 = 10{8}3
tetra-ennaxis = E1#1#1#1#1#1#1#4 = 10{8}4
penta-ennaxis = E1#1#1#1#1#1#1#5 = 10{8}5
hexa-ennaxis = E1#1#1#1#1#1#1#6 = 10{8}6
hepta-ennaxis = E1#1#1#1#1#1#1#7 = 10{8}7
octa-ennaxis = E1#1#1#1#1#1#1#8 = 10{8}8
enna-ennaxis = E1#1#1#1#1#1#1#9 = 10{8}9
deka-ennaxis = E1#1#1#1#1#1#1#10 = 10{8}10
icosa-ennaxis = E1#1#1#1#1#1#1#20 = 10{8}20
hecta-ennaxis = E1#1#1#1#1#1#1#100 = 10^^^^^^^^100
The deka-ennaxis is equivalent to 10^^^^^^^^10. This is equal to the small "tridecal" (tridecal Jr.) of Bowers' old System.
Another one, hecta-ennaxis is equal to 10{8}100 is equal to my "gocgol".
We can also have...
chilia-ennaxis = E1#1#1#1#1#1#1#1000 = 10{8}1000
myria-ennaxis = E1#1#1#1#1#1#1#10,000 = 10{8}10,000
(2840) mega-ennaxis = E1#1#1#1#1#1#1#1,000,000 = 10{8}1,000,000
octadia-ennaxis = E1#1#1#1#1#1#1#100,000,000
sedeniadia-ennaxis = E1#1#1#1#1#1#1#10,000,000,000,000,000
And finally,
(2841) googolia-ennaxis = E1#1#1#1#1#1#1#(E100) = 10{8}10^100
(2842) dekalogia-ennaxis = E1#1#1#1#1#1#1#(E1#10) = 10{8}10^^10
(2843) hectalogia-ennaxis or (2844) giggolia-ennaxis = E1#1#1#1#1#1#1#(E1#100) = 10{8}10^^^100
(2845) deka-taxia-ennaxis = E1#1#1#1#1#1#1#(E1#1#10) = 10{8}10^^^10
(2846) hecta-taxia-ennaxis or (2847) gaggolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#100) = 10{8}10^^^100
(2848) deka-petaxia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#10) = 10{8}10^^^^10
(2849) hecta-petaxia-ennaxis or (2850) geegolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#100) = 10{8}10^^^^100
(2851) deka-exaxia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#10) = 10{8}10{5}10
(2852) hecta-exaxia-ennaxis or (2853) gigolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#100) = 10{8}10{5}100
(2854) deka-eptaxia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#1#10) = 10{8}10{6}10
(2855) hecta-eptaxia-ennaxis or (2856) goggolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#1#100) = 10{8}10{6}100
(2857) deka-octaxia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#1#1#10) = 10{8}10{7}10
(2858) hecta-octaxia-ennaxis or (2859) gagolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#1#1#1#100) = 10{8}10{7}100
deka-ennaxia-ennaxis = E1#1#1#1#1#1#1#10#2 = 10{8}10{8}10
(2860) hecta-ennaxia-ennaxis = E1#1#1#1#1#1#1#100#2 = 10{8}10{8}100
So, that's the end of gaspgol regiment... moving on fast now...
Ginorgol regiment
(2861-3021)
Introduction
It's now the 8th regiment in the entire ExE system! A name which means "ginormous googol", I will present it to you...
*ginorgol = E100#100#100#100#100#100#100#100 = E100##8
No problems coining the new suffix... which is "octex".
But first... let's coin ginorgol with previous suffixes...
ginorgolplex = E(E100#100#100#100#100#100#100#100)
ginorgoldex = E100#(E100#100#100#100#100#100#100#100)
ginorgolthrex = E100#100#(E100#100#100#100#100#100#100#100)
ginorgoltetrex = E100#100#100#(E100#100#100#100#100#100#100#100)
ginorgolpentex = E100#100#100#100#(E100#100#100#100#100#100#100#100)
ginorgolhex = E100#100#100#100#100#(E100#100#100#100#100#100#100#100)
ginorgolheptex = E100#100#100#100#100#100#(E100#100#100#100#100#100#100#100)
= E100#100#100#100#100#100#100#101
Now, we are now dealing with -octex.
ginorgoloctex = E100#100#100#100#100#100#100#100#2
ginorgolduoctex = E100#100#100#100#100#100#100#100#3
ginorgoltrioctex = E100#100#100#100#100#100#100#100#4
(2861) ginorgolquadrioctex = E100#100#100#100#100#100#100#100#5
(2862) ginorgolquintioctex = E100#100#100#100#100#100#100#100#6
...
(2863) ginorgoldecioctex = E100#100#100#100#100#100#100#100#11
ginorgolcentioctex = E100#100#100#100#100#100#100#100#101
(2863.1) ginorgolmillioctex = E100#100#100#100#100#100#100#100#1001
(2863.2) ginorgol-googolioctex = E100#100#100#100#100#100#100#100#(E100+1)
(2863.3) ginorgol-grangolioctex = E100#100#100#100#100#100#100#100#(E100#100+1)
(2863.4) ginorgol-greagolioctex = E100#100#100#100#100#100#100#100#(E100#100#100+1)
...
(2863.5) ginorgol-ginorgolioctex = E100#100#100#100#100#100#100#100#(E100##8+1)
etc.
... now, let's apply our suffixes...
ginorgolding = E500#500#500#500#500#500#500#500 = E500##8
(2864) ginorgoloctexiding = E500#500#500#500#500#500#500#500#2
etc.
ginorgolchime = E1000#1000#1000#1000#1000#1000#1000#1000 = E1000##8
ginorgoloctexichime = E1000#1000#1000#1000#1000#1000#1000#1000#2 = E(1000#)^8 2
ginorgolduoctexichime = E1000#1000#1000#1000#1000#1000#1000#1000#3 = E(1000#)^8 3
(2865) ginorgoltrioctexichime = E(1000#)^8 4
etc.
ginorgolbell = E5000#5000#5000#5000#5000#5000#5000#5000 = E5000##8
(2866) ginorgoloctexibell = E(5000#)^8 2
etc.
ginorgoltoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000 = E10,000##8
ginorgoloctexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2 = E(10,000#)^8 2
ginorgolduoctexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3 = E(10,000#)^8 3
(2867) ginorgoltrioctexitoll = E(10,000#)^8 4
etc.
(2868) ginorgolring = E50,000#50,000#50,000#50,000#50,000#50,000#50,000#50,000 = E50,000##8
(2869) ginorgoloctexiring = E(50,000#)^8 2
etc.
ginorgolgong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000 = E100,000##8
ginorgoloctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 = E(100,000#)^8 2
ginorgolduoctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3 = E(100,000#)^8 3
(2870) ginorgoltrioctexigong = E(100,000#)^8 4
etc.
(2871) ginorgolclang = E500,000#500,000#500,000#500,000#500,000#500,000#500,000#500,000 = E500,000##8
(2872) ginorgoloctexiclang = E(500,000#)^8 2
etc.
ginorgolbong = E100,000,000##8
ginorgoloctexibong
= E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2 = E(100,000,000#)^8 2
(2873) ginorgolduoctexibong = E(100,000,000#)^8 3
(2874) ginorgoltrioctexibong = E(100,000,000#)^8 4
etc.
ginorgolthrong = E100,000,000,000##8
ginorgoloctexithrong
= E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2 = E(100,000,000#)^8 2
etc.
ginorgolgandingan
= E100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#
100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000 = E(10^14)##8
Combining gocgol with other suffixes
Note that: 10{8}100 is the first in the 10{n}100 series in which Jonathan Bowers did not coin. So, I coined it from 8 to 10. In this case, n = 8, which is gocgol.
When gocgol = 10{8}100 collides with suffixes here...
(2875) gocgolding = E1#1#1#1#1#1#1#500 = 10{8}500
(2876) gocgolchime = E1#1#1#1#1#1#1#1000 = 10{8}1000
(2877) gocgolbell = E1#1#1#1#1#1#1#5000 = 10{8}5000
(2878) gocgoltoll = E1#1#1#1#1#1#1#10,000 = 10{8}10,000
(2879) gocgolring = E1#1#1#1#1#1#1#50,000 = 10{8}50,000
(2880) gocgolgong = E1#1#1#1#1#1#1#100,000 = 10{8}100,000
(2881) gocgolclang = E1#1#1#1#1#1#1#500,000 = 10{8}500,000
(2882) gocgolbong = E1#1#1#1#1#1#1#100,000,000 = 10{8}100,000,000
(2883) gocgolthrong = E1#1#1#1#1#1#1#100,000,000,000 = 10{8}100,000,000,000
(2884) gocgolgandingan = E1#1#1#1#1#1#1#10^14 = 10{8}10^14
...
(2885) gocgolplex or (2886) gocgoloctex = E1#1#1#1#1#1#1#100#2 = 10{8}10{8}100
(2887) gocgolplexiding or (2888) gocgoloctexiding = E1#1#1#1#1#1#1#1#500#2 = 10{8}10{8}500
(2889) gocgolplexichime or (2890) gocgoloctexichime = E1#1#1#1#1#1#1#1#1000#2 = 10{8}10{8}1000
(2891) gocgolplexibell or (2892) gocgoloctexibell = E1#1#1#1#1#1#1#1#5000#2 = 10{8}10{8}5000
(2893) gocgolplexitoll or (2894) gocgoloctexitoll = E1#1#1#1#1#1#1#1#10,000#2 = 10{8}10{8}10,000
(2895) gocgolplexiring or (2896) gocgoloctexiring = E1#1#1#1#1#1#1#1#50,000#2 = 10{8}10{8}50,000
(2897) gocgolplexigong or (2898) gocgoloctexigong = E1#1#1#1#1#1#1#1#100,000#2 = 10{8}10{8}100,000
(2899) gocgolplexiclang or (2900) gocgoloctexiclang = E1#1#1#1#1#1#1#1#500,000#2 = 10{8}10{8}500,000
(2901) gocgolplexibong or (2902) gocgoloctexibong = E1#1#1#1#1#1#1#1#100,000,000#2 = 10{8}10{8}100,000,000
(2903) gocgolplexithrong or (2904) gocgoloctexithrong = E1#1#1#1#1#1#1#(E11)#2 = 10{8}10{8}10^11
(2905) gocgolplexigandingan or (2906) gocgoloctexigandingan = E1#1#1#1#1#1#1#(E14)#2 = 10{8}10{8}10^14
Intermediate numbers part 8
googoloctex = E100#1#1#1#1#1#1#1#2
(2907) googoloctexigong = E100,000#1#1#1#1#1#1#1#2
(2908) googolplexioctex = E100#2#1#1#1#1#1#1#2
grangoloctex = E100#100#1#1#1#1#1#1#2
(2909) grangoloctexigong = E100,000#100,000#1#1#1#1#1#1#2
(2910) googoldexioctex = E100#1#2#1#1#1#1#1#2
(2911) grangoldexioctex = E100#100#2#1#1#1#1#1#2
greagoloctex = E100#100#100#1#1#1#1#1#2
(2912) greagoloctexigong = E100,000#100,000#100,000#1#1#1#1#1#2
(2913) googolthrexioctex = E100#1#1#2#1#1#1#1#2
(2914) grangolthrexioctex = E100#100#1#2#1#1#1#1#2
(2915) greagolthrexioctex = E100#100#100#2#1#1#1#1#2
gigangoloctex = E100#100#100#100#1#1#1#1#2
(2916) gigangoloctexigong = E100,000#100,000#100,000#100,000#1#1#1#1#2
(2917) googoltetrexioctex = E100#1#1#1#2#1#1#1#2
(2918) grangoltetrexioctex = E100#100#1#1#2#1#1#1#2
(2919) greagoltetrexioctex = E100#100#100#1#2#1#1#1#2
(2920) gigangoltetrexioctex = E100#100#100#100#2#1#1#1#2
gorgegoloctex = E100#100#100#100#100#1#1#1#2
(2921) gorgegoloctexigong = E100,000#100,000#100,000#100,000#100,000#1#1#1#2
(2922) googolpentexioctex = E100#1#1#1#1#2#1#1#2
(2923) grangolpentexioctex = E100#100#1#1#1#2#1#1#2
(2924) greagolpentexioctex = E100#100#100#1#1#2#1#1#2
(2925) gigangolpentexioctex = E100#100#100#100#1#2#1#1#2
(2926) gorgegolpentexioctex = E100#100#100#100#100#2#1#1#2
gulgoloctex = E100#100#100#100#100#100#1#1#2
(2927) gulgoloctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#1#1#2
(2928) googolhexioctex = E100#1#1#1#1#1#2#1#2
(2929) grangolhexioctex = E100#100#1#1#1#1#2#1#2
(2930) greagolhexioctex = E100#100#100#1#1#1#2#1#2
(2931) gigangolhexioctex = E100#100#100#100#1#1#2#1#2
(2932) gorgegolhexioctex = E100#100#100#100#100#1#2#1#2
(2933) gulgolhexioctex = E100#100#100#100#100#100#2#1#2
gaspgoloctex = E100#100#100#100#100#100#100#1#2
(2934) gaspgoloctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#2
(2935) googolheptexioctex = E100#1#1#1#1#1#1#2#2
(2936) grangolheptexioctex = E100#100#1#1#1#1#1#2#2
(2937) greagolheptexioctex = E100#100#100#1#1#1#1#2#2
(2938) gigangolheptexioctex = E100#100#100#100#1#1#1#2#2
(2939) gorgegolheptexioctex = E100#100#100#100#100#1#1#2#2
(2940) gulgolheptexioctex = E100#100#100#100#100#100#1#2#2
gaspgolheptexioctex = E100#100#100#100#100#100#100#2#2
(2941) gaspgolheptexioctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#2
(2942) googolduheptexioctex = E100#1#1#1#1#1#1#3#2
(2943) grangolduheptexioctex = E100#100#1#1#1#1#1#3#2
(2944) greagolduheptexioctex = E100#100#100#1#1#1#1#3#2
(2945) gigangolduheptexioctex = E100#100#100#100#1#1#1#3#2
(2946) gorgegolduheptexioctex = E100#100#100#100#100#1#1#3#2
(2947) gulgolduheptexioctex = E100#100#100#100#100#100#1#3#2
gaspgolduheptexioctex = E100#100#100#100#100#100#100#3#2
(2948) gaspgolduheptexioctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3#2
Numbers between ginorgoloctex and ginorgolduoctex ...
(2949) googolduoctex = E100#1#1#1#1#1#1#1#3
(2950) grangolduoctex = E100#100#1#1#1#1#1#1#3
(2951) greagolduoctex = E100#100#100#1#1#1#1#1#3
(2952) gigangolduoctex = E100#100#100#100#1#1#1#1#3
(2953) gorgegolduoctex = E100#100#100#100#100#1#1#1#3
(2954) gulgolduoctex = E100#100#100#100#100#100#1#1#3
(2955) googolhexiduoctex = E100#1#1#1#1#1#2#1#3
(2956) grangolhexiduoctex = E100#100#1#1#1#1#2#1#3
(2957) greagolhexiduoctex = E100#100#100#1#1#1#2#1#3
(2958) gigangolhexiduoctex = E100#100#100#100#1#1#2#1#3
(2959) gorgegolhexiduoctex = E100#100#100#100#100#1#2#1#3
(2960) gulgolhexiduoctex = E100#100#100#100#100#100#2#1#3
gaspgolduoctex = E100#100#100#100#100#100#100#1#3
(2961) gaspgolduoctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#3
(2961) googolheptexiduoctex = E100#1#1#1#1#1#1#2#3
(2962) gulgolheptexiduoctex = E100#100#100#100#100#100#1#2#3
gaspgolheptexiduoctex = E100#100#100#100#100#100#100#2#3
(2963) gaspgolheptexiduoctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#3
gaspgolduheptexiduoctex = E100#100#100#100#100#100#100#3#3
(2964) gaspgolduheptexiduoctexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3#3
etc.
How about... some million and centillion?
(2965) millioctexion = E6#1#1#1#1#1#1#1#2
(2966) millihexioctexion = E6#1#1#1#1#1#2#1#2
(2967) milliheptexioctexion = E6#1#1#1#1#1#1#2#2
(2968) milliduheptexioctexion = E6#1#1#1#1#1#1#3#2
(2969) milliduoctexion = E6#1#1#1#1#1#1#1#3
...
eceto-ginorgol = E303#303#303#303#303#303#303#303
ecetonoctex = E303#1#1#1#1#1#1#1#2
(2970) ecetonplexioctex = E303#2#1#1#1#1#1#1#2
(2971) eceto-grangoloctex = E303#303#1#1#1#1#1#1#2
(2972) ecetondexioctex = E303#1#2#1#1#1#1#1#2
(2972.1) eceto-grangoldexioctex = E303#303#2#1#1#1#1#1#2
(2973) eceto-greagoloctex = E303#303#303#1#1#1#1#1#2
(2974) ecetonthrexioctex = E303#1#1#2#1#1#1#1#2
(2975) eceto-gigangoloctex = E303#303#303#303#1#1#1#1#2
(2976) ecetontetrexioctex = E303#1#1#1#2#1#1#1#2
(2977) eceto-gorgegoloctex = E303#303#303#303#303#1#1#1#2
(2978) ecetonpentexioctex = E303#1#1#1#1#2#1#1#2
(2979) eceto-gulgoloctex = E303#303#303#303#303#303#1#1#2
(2980) ecetonhexioctex = E303#1#1#1#1#1#2#1#2
(2981) eceto-gaspgoloctex = E303#303#303#303#303#303#303#1#2
(2982) ecetonheptexioctex = E303#1#1#1#1#1#1#2#2
(2983) ecetonduheptexioctex = E303#1#1#1#1#1#1#3#2
eceto-ginorgoloctex = E303#303#303#303#303#303#303#303#2
ecetonduoctex = E303#1#1#1#1#1#1#1#3
(2984) ecetonplexiduoctex = E303#2#1#1#1#1#1#1#3
(2985) eceto-grangolduoctex = E303#303#1#1#1#1#1#1#3
(2986) ecetondexiduoctex = E303#1#2#1#1#1#1#1#3
(2987) eceto-greagoloctex = E303#303#303#1#1#1#1#1#3
(2988) ecetonthrexiduoctex = E303#1#1#2#1#1#1#1#3
(2989) eceto-gigangolduoctex = E303#303#303#303#1#1#1#1#3
(2990) ecetontetrexiduoctex = E303#1#1#1#2#1#1#1#3
(2991) eceto-gorgegolduoctex = E303#303#303#303#303#1#1#1#3
(2992) ecetonpentexiduoctex = E303#1#1#1#1#2#1#1#3
(2993) eceto-gulgolduoctex = E303#303#303#303#303#303#1#1#3
(2994) ecetonhexiduoctex = E303#1#1#1#1#1#2#1#3
(2995) eceto-gaspgolduoctex = E303#303#303#303#303#303#303#1#3
(2996) ecetonheptexiduoctex = E303#1#1#1#1#1#1#2#3
(2997) ecetonduheptexiduoctex = E303#1#1#1#1#1#1#3#3
eceto-ginorgolduoctex = E303#303#303#303#303#303#303#303#3
Deka-towers (dekaxis)
tria-dekaxis = E1#1#1#1#1#1#1#1#3 = 10{9}3
tetra-dekaxis = E1#1#1#1#1#1#1#1#4 = 10{9}4
penta-dekaxis = E1#1#1#1#1#1#1#1#5 = 10{9}5
hexa-dekaxis = E1#1#1#1#1#1#1#1#6 = 10{9}6
hepta-dekaxis = E1#1#1#1#1#1#1#1#7 = 10{9}7
octa-dekaxis = E1#1#1#1#1#1#1#1#8 = 10{9}8
enna-dekaxis = E1#1#1#1#1#1#1#1#9 = 10{9}9
deka-dekaxis = E1#1#1#1#1#1#1#1#10 = 10{9}10
Take note! Deka-dekaxis is not the same as tridecal (10{10}10) ! This is because the -taxis series has one arrow less. Moving on...
...
icosa-dekaxis = E1#1#1#1#1#1#1#1#20 = 10{9}20
hecta-dekaxis = E1#1#1#1#1#1#1#1#100 = 10{9}100
"Hecta-dekaxis" is also known as "gengol" in my system.
chilia-dekaxis = E1#1#1#1#1#1#1#1#1000 = 10{9}1000
myria-dekaxis = E1#1#1#1#1#1#1#1#10,000 = 10{9}10,000
(2998) mega-dekaxis = E1#1#1#1#1#1#1#1#1,000,000 = 10{9}1,000,000
octadia-dekaxis = E1#1#1#1#1#1#1#1#100,000,000 = 10{9}100,000,000
sedeniadia-dekaxis = E1#1#1#1#1#1#1#1#10,000,000,000,000,000 = 10{9}10^16
...
And finally,
(2999) googolia-dekaxis = E1#1#1#1#1#1#1#1#(E100) = 10{9}10^100
(3000) dekalogia-dekaxis = E1#1#1#1#1#1#1#1#(E1#10) = 10{9}10^^10
(3001) hectalogia-dekaxis or (3002) giggolia-dekaxis = E1#1#1#1#1#1#1#1#(E1#100) = 10{9}10^^100
(3003) deka-taxia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#10) = 10{9}10^^^10
(3004) hecta-taxia-dekaxis or (3005) gaggolia-dekaxis = E1#1#1#1#1#1#1#(E1#1#100) = 10{9}10^^^100
(3006) deka-petaxia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#10) = 10{9}10^^^^10
(3007) hecta-petaxia-dekaxis or (3008) geegolia-ennaxis = E1#1#1#1#1#1#1#(E1#1#1#100) = 10{9}10^^^^100
(3009) deka-exaxia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#10) = 10{9}10{5}10
(3010) hecta-exaxia-dekaxis or (3011) gigolia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#100) = 10{9}10{5}100
(3012) deka-eptaxia-dekaxis = E1#1#1#1#1#1#1#(E1#1#1#1#1#10) = 10{9}10{6}10
(3013) hecta-eptaxia-dekaxis or (3014) goggolia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#1#100) = 10{9}10{6}100
(3015) deka-octaxia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#10) = 10{9}10{7}10
(3016) hecta-octaxia-dekaxis or (3017) gagolia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#100) = 10{9}10{7}100
(3018) deka-ennaxia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#10) = 10{9}10{8}10
(3019) hecta-ennaxia-dekaxis or (3020) gocgolia-dekaxis = E1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#100) = 10{9}10{8}100
deka-dekaxia-dekaxis = E1#1#1#1#1#1#1#1#10#2 = 10{9}10{9}10
(3021) hecta-dekaxia-dekaxis = E1#1#1#1#1#1#1#1#100#2 = 10{9}10{9}100
Let's proceed to the next ones, before expanding our notation to the next level. But first...
Gulgol, gaspgol, ginorgol regiment supplement
(3022-3071)
Here, in this supplement, I will add some n-ary numbers first, before moving on to the next regiment. The examples are....
(3022) gulgolbit or (3023) binary-gulgol = E[2]100##6
(3024) gaspgolbit or (3025) binary-gaspgol = E[2]100##7
(3026) ginorgolbit or (3027) binary-ginorgol = E[2]100##8
...
(3028) ternary-gulgol = E[3]100##6
(3029) ternary-gaspgol = E[3]100##7
(3030) ternary-ginorgol = E[3]100##8
...
(3031) quinary-gulgol = E[5]100##6
(3032) quinary-gaspgol = E[5]100##7
(3033) quinary-ginorgol = E[5]100##8
...
(3034) gulgolbyte or (3035) octal-gulgol = E[8]100##6
(3036) gaspgolbyte or (3037) octal-gaspgol = E[8]100##7
(3038) ginorgolbyte or (3039) octal-ginorgol = E[8]100##8
...
(3040) duodecimal-gulgol = E[12]100##6
(3041) duodecimal-gaspgol = E[12]100##7
(3042) duodecimal-ginorgol = E[12]100##8
...
(3043) hexadecimal-gulgol = E[16]100##6
(3044) hexadecimal-gaspgol = E[16]100##7
(3045) hexadecimal-ginorgol = E[16]100##8
...
(3046) centesimal-gulgol = E[100]100##6
(3047) centesimal-gaspgol = E[100]100##7
(3048) centesimal-ginorgol = E[100]100##8
etc.
And also... n-ary version of towers (a few for now):
(3049) binary-tria-octaxis = E[2]1#1#1#1#1#1#3 = 2{7}3 = 2{6}4
(3050) binary-tetra-octaxis = E[2]1#1#1#1#1#1#4 = 2{7}4 = 2{6}2{6}4
(3051) binary-tria-ennaxis = E[2]1#1#1#1#1#1#1#3 = 2{8}3 = 2{7}4
(3052) binary-tetra-ennaxis = E[2]1#1#1#1#1#1#1#4 = 2{8}4 = 2{7}2{7}4
(3053) binary-tria-dekaxis = E[2]1#1#1#1#1#1#1#1#3 = 2{9}3 = 2{8}4
(3054) binary-tetra-dekaxis = E[2]1#1#1#1#1#1#1#1#4 = 2{9}4 = 2{8}2{8}4
...
(3055) ternary-tria-octaxis = E[3]1#1#1#1#1#1#3 = 3{7}3
(3056) ternary-tria-ennaxis = E[3]1#1#1#1#1#1#1#3 = 3{8}3
(3057) ternary-tria-dekaxis = E[3]1#1#1#1#1#1#1#1#3 = 3{9}3
...
(3058) octal-octa-octaxis = E[8]1#1#1#1#1#1#8 = 8{7}8
(3059) octal-octa-ennaxis = E[8]1#1#1#1#1#1#1#8 = 8{8}8
(3060) octal-octa-dekaxis = E[8]1#1#1#1#1#1#1#1#8 = 8{9}8
...
and so on.
Anyway, based off of Markov chain... I will coin some numbers like:
(3061) gigangoltetrexitresvigintihexiheptex = E100#100#100#100#2#1#24#2
(3062) googolthrexihexioctex = E100#1#1#2#1#1#2#1#2
(3063) googolvigintithrexitetrexioctex = E100#1#1#21#2#1#1#1#2
(3064) gigangolvigintitetrexioctex = E100#100#100#100#21#1#1#1#2
(3065) greagolquadritetrexiquadripentexiquadrihex = E100#100#100#1#5#5#5
(3066) gorgegoldupentexioctex = E100#100#100#100#100#3#1#1#2
(3067) googoldexitetrexiheptex = E100#1#2#1#2#1#1#2
(3068) greagolduthrexihex = E100#100#100#3#1#1#2
(3069) greagolduthrexihexioctex = E100#100#100#3#1#1#2#1#2
(3070) googolplexitetrexiduheptex = E100#2#1#1#2#1#1#3
(3071) gigangoltetrexiduheptex = E100#100#100#100#2#1#1#3
That's it for the supplement... moving on to the next regiment now.
Gargantuul regiment
(3072-3241)
Introduction
Previously, Sbiis Saibian stopped at ginorgol regiment, skipped ahead to gugold regiment, leaving a lot of gaps behind. And then later, Saibian extended it by having another 2 regiments to make it enough at 10.
"Gargantuul" means... "gargantuan googol". It is defined as:
gargantuul = E100#100#100#100#100#100#100#100#100 = E100##9
The new suffix... which is "ennex".
But first... let's coin gargantuul with previous suffixes...
gargantuulplex = E(E100#100#100#100#100#100#100#100#100)
gargantuuldex = E100#(E100#100#100#100#100#100#100#100#100)
gargantuulthrex = E100#100#(E100#100#100#100#100#100#100#100#100)
gargantuultetrex = E100#100#100#(E100#100#100#100#100#100#100#100#100)
gargantuulpentex = E100#100#100#100#(E100#100#100#100#100#100#100#100#100)
gargantuulhex = E100#100#100#100#100#(E100#100#100#100#100#100#100#100#100)
gargantuulheptex = E100#100#100#100#100#100#(E100#100#100#100#100#100#100#100#100)
gargantuuloctex = E100#100#100#100#100#100#100#(E100#100#100#100#100#100#100#100#100)
= E100#100#100#100#100#100#100#100#101
Next is ...
gargantuulennex = E100#100#100#100#100#100#100#100#100#2
gargantuulduennex = E100#100#100#100#100#100#100#100#100#3
gargantuultriennex = E100#100#100#100#100#100#100#100#100#4
(3072) gargantuulquadriennex = E100#100#100#100#100#100#100#100#100#5
(3073) gargantuulquintiennex = E100#100#100#100#100#100#100#100#100#6
...
(3074) gargantuuldeciennex = E100#100#100#100#100#100#100#100#100#11
gargantuulcentiennex = E100#100#100#100#100#100#100#100#100#101
(3075) gargantuulmilliennex = E100#100#100#100#100#100#100#100#100#1001
...
gargantuulding = E500#500#500#500#500#500#500#500#500 = E500##9
(3076) gargantuulennexiding = E500#500#500#500#500#500#500#500#500#2
...
gargantuulchime = E1000#1000#1000#1000#1000#1000#1000#1000#1000 = E1000##9
gargantuulennexichime = E1000#1000#1000#1000#1000#1000#1000#1000#1000#2 = E(1000#)^9 2
gargantuulduennexichime = E1000#1000#1000#1000#1000#1000#1000#1000#1000#3 = E(1000#)^9 3 (DLM listed this as a duplicate of "gargantuulennexichime", so I fixed it)
(3077) gargantuultriennexichime = E(1000#)^9 4
...
gargantuulbell = E5000#5000#5000#5000#5000#5000#5000#5000#5000#5000 = E5000##9
(3078) gargantuulennexibell = E(5000#)^9 2
...
gargantuultoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000 = E10,000##9
gargantuulennexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2 = E(10,000#)^9 2
gargantuulduennexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3 = E(10,000#)^9 3
(3079) gargantuultriennexitoll = E(10,000#)^9 4
...
(3080) gargantuulring = E50,000#50,000#50,000#50,000#50,000#50,000#50,000#50,000#50,000#50,000 = E50,000##9
(3081) gargantuulennexiring = E(50,000#)^9 2
...
gargantuulgong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000 = E100,000##9
gargantuulennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 = E(100,000#)^9 2
gargantuulduennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3 = E(100,000#)^9 3
(3082) gargantuultriennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#4 = E(100,000#)^9 4
...
(3083) gargantuulclang = E500,000#500,000#500,000#500,000#500,000#500,000#500,000#500,000#500,000#500,000 = E500,000##9
(3084) gargantuulennexiclang = E(500,000#)^9 2
...
gargantuulbong = E100,000,000##9
gargantuulennexibong =
E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#100,000,000#2 = E(100,000,000#)^9 2
gargantuulduennexibong =
E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#100,000,000#3 = E(100,000,000#)^9 3
(3085) gargantuultriennexibong = E(100,000,000#)^9 4
...
gargantuulthrong =
E100,000,000,000##9
gargantuulennexithrong =
E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2 = E(100,000,000,000#)^9 2
gargantuulduennexithrong =
E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#3 = E(100,000,000,000#)^9 3
(3086) gargantuultriennexithrong = E(100,000,000,000#)^9 4
...
gargantuulgandingan = E100,000,000,000,000##9
(3087) gargantuulennexigandingan = E(10^14#)^9 2
etc.
Combining gengol with other suffixes
(3088) gengolding = E1#1#1#1#1#1#1#1#500 = 10{9}500
(3089) gengolchime = E1#1#1#1#1#1#1#1#1000 = 10{9}1000
(3090) gengolbell = E1#1#1#1#1#1#1#1#5000 = 10{9}5000
(3091) gengoltoll = E1#1#1#1#1#1#1#1#10,000 = 10{9}10,000
(3092) gengolring = E1#1#1#1#1#1#1#1#50,000 = 10{9}50,000
(3093) gengolgong = E1#1#1#1#1#1#1#1#100,000 = 10{9}100,000
(3094) gengolclang = E1#1#1#1#1#1#1#1#500,000 = 10{9}500,000
(3095) gengolbong = E1#1#1#1#1#1#1#1#100,000,000 = 10{9}100,000,000
(3096) gengolthrong = E1#1#1#1#1#1#1#1#100,000,000,000 = 10{9}100,000,000,000
(3097) gengolgandingan = E1#1#1#1#1#1#1#1#10^14 = 10{9}10^14
...
(3098) gengolplex or (3099) gengolennex = E1#1#1#1#1#1#1#1#100#2 = 10{9}10{9}100
(3100) gengolplexiding or (3101) gengolennexiding = E1#1#1#1#1#1#1#1#500#2 = 10{9}10{9}500
(3102) gengolplexichime or (3103) gengolennexichime = E1#1#1#1#1#1#1#1#1000#2 = 10{9}10{9}1000
(3104) gengolplexibell or (3105) gengolennexibell = E1#1#1#1#1#1#1#1#5000#2 = 10{9}10{9}5000
(3106) gengolplexitoll or (3107) gengolennexitoll = E1#1#1#1#1#1#1#1#10,000#2 = 10{9}10{9}10,000
(3108) gengolplexiring or (3109) gengolennexiring = E1#1#1#1#1#1#1#1#50,000#2 = 10{9}10{9}50,000
(3110) gengolplexigong or (3111) gengolennexigong = E1#1#1#1#1#1#1#1#100,000#2 = 10{9}10{9}100,000
(3112) gengolplexiclang or (3113) gengolennexiclang = E1#1#1#1#1#1#1#1#500,000#2 = 10{9}10{9}500,000
(3114) gengolplexibong or (3115) gengolennexibong = E1#1#1#1#1#1#1#1#100,000,000#2 = 10{9}10{9}100,000,000
(3116) gengolplexithrong or (3117) gengolennexithrong = E1#1#1#1#1#1#1#1#(E11)#2 = 10{9}10{9}10^11
(3118) gengolplexigandingan or (3119) gengolennexigandingan = E1#1#1#1#1#1#1#1#(E14)#2 = 10{9}10{9}10^14
etc.
Intermediate numbers part 9
Let's coin even more intermediate numbers here...
googolennex = E100#1#1#1#1#1#1#1#1#2
(3120) googolennexigong = E100,000#1#1#1#1#1#1#1#1#2
(3121) googolplexiennex = E100#2#1#1#1#1#1#1#1#2
grangolennex = E100#100#1#1#1#1#1#1#1#2
(3122) grangolennexigong = E100,000#100,000#1#1#1#1#1#1#1#2
(3123) googoldexiennex = E100#1#2#1#1#1#1#1#1#2
(3124) grangoldexiennex = E100#100#2#1#1#1#1#1#1#2
greagolennex = E100#100#100#1#1#1#1#1#1#2
(3125) greagolennexigong = E100,000#100,000#100,000#1#1#1#1#1#1#2
(3126) googolthrexiennex = E100#1#1#2#1#1#1#1#1#2
(3127) grangolthrexiennex = E100#100#1#2#1#1#1#1#1#2
(3128) greagolthrexiennex = E100#100#100#2#1#1#1#1#1#2
gigangolennex = E100#100#100#100#1#1#1#1#1#2
(3129) gigangolennexigong = E100,000#100,000#100,000#100,000#1#1#1#1#1#2
(3130) googoltetrexiennex = E100#1#1#1#2#1#1#1#1#2
(3131) grangoltetrexiennex = E100#100#1#1#2#1#1#1#1#2
(3132) greagoltetrexiennex = E100#100#100#1#2#1#1#1#1#2
(3133) gigangoltetrexiennex = E100#100#100#100#2#1#1#1#1#2
gorgegolennex = E100#100#100#100#100#1#1#1#1#2
(3134) gorgegolennexigong = E100,000#100,000#100,000#100,000#100,000#1#1#1#1#2
(3135) googolpentexiennex = E100#1#1#1#1#2#1#1#1#2
(3136) grangolpentexiennex = E100#100#1#1#1#2#1#1#1#2
(3137) greagolpentexiennex = E100#100#100#1#1#2#1#1#1#2
(3138) gigangolpentexiennex = E100#100#100#100#1#2#1#1#1#2
(3139) gorgegolpentexiennex = E100#100#100#100#100#2#1#1#1#2
gulgolennex = E100#100#100#100#100#100#1#1#1#2
(3140) gulgolennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#1#1#1#2
(3141) googolhexiennex = E100#1#1#1#1#1#2#1#1#2
(3142) grangolhexiennex = E100#100#1#1#1#1#2#1#1#2
(3143) greagolhexiennex = E100#100#100#1#1#1#2#1#1#2
(3144) gigangolhexiennex = E100#100#100#100#1#1#2#1#1#2
(3145) gorgegolhexiennex = E100#100#100#100#100#1#2#1#1#2
(3146) gulgolhexiennex = E100#100#100#100#100#100#2#1#1#2
gaspgolennex = E100#100#100#100#100#100#100#1#1#2
(3147) gaspgolennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#1#2
(3148) googolheptexiennex = E100#1#1#1#1#1#1#2#1#2
(3149) grangolheptexiennex = E100#100#1#1#1#1#1#2#1#2
(3150) greagolheptexiennex = E100#100#100#1#1#1#1#2#1#2
(3151) gigangolheptexiennex = E100#100#100#100#1#1#1#2#1#2
(3152) gorgegolheptexiennex = E100#100#100#100#100#1#1#2#1#2
(3153) gulgolheptexiennex = E100#100#100#100#100#100#1#2#1#2
(3154) gaspgolheptexiennex = E100#100#100#100#100#100#100#2#1#2
ginorgolennex = E100#100#100#100#100#100#100#100#1#2
(3155) ginorgolennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#2
(3156) googoloctexiennex = E100#1#1#1#1#1#1#1#2#2
(3157) grangoloctexiennex = E100#100#1#1#1#1#1#1#2#2
(3158) greagoloctexiennex = E100#100#100#1#1#1#1#1#2#2
(3159) gigangoloctexiennex = E100#100#100#100#1#1#1#1#2#2
(3160) gorgegoloctexiennex = E100#100#100#100#100#1#1#1#2#2
(3161) gulgoloctexiennex = E100#100#100#100#100#100#1#1#2#2
(3162) gaspgoloctexiennex = E100#100#100#100#100#100#100#1#2#2
ginorgoloctexiennex = E100#100#100#100#100#100#100#100#2#2
(3163) ginorgoloctexiennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#2
(3164) googolduoctexiennex = E100#1#1#1#1#1#1#1#3#2
(3165) grangolduoctexiennex = E100#100#1#1#1#1#1#1#3#2
(3166) greagolduoctexiennex = E100#100#100#1#1#1#1#1#3#2
(3167) gigangolduoctexiennex = E100#100#100#100#1#1#1#1#3#2
(3168) gorgegolduoctexiennex = E100#100#100#100#100#1#1#1#3#2
(3169) gulgolduoctexiennex = E100#100#100#100#100#100#1#1#3#2
(3170) gaspgolduoctexiennex = E100#100#100#100#100#100#100#1#3#2
ginorgolduoctexiennex = E100#100#100#100#100#100#100#100#3#2
Numbers between gargantuulennex and gargantuulduennex ...
(3171) googolduennex = E100#1#1#1#1#1#1#1#1#3
(3172) grangolduennex = E100#100#1#1#1#1#1#1#1#3
(3173) greagolduennex = E100#100#100#1#1#1#1#1#1#3
(3174) gigangolduennex = E100#100#100#100#1#1#1#1#1#3
(3175) gorgegolduennex = E100#100#100#100#100#1#1#1#1#3
(3176) gulgolduennex = E100#100#100#100#100#100#1#1#1#3
(3177) gaspgolduennex = E100#100#100#100#100#100#100#1#1#3
(3178) gaspgolheptexiduennex = E100#100#100#100#100#100#100#2#1#3
(3179) gaspgolduheptexiduennex = E100#100#100#100#100#100#100#3#1#3
ginorgolduennex = E100#100#100#100#100#100#100#100#1#3
(3180) ginorgolduennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#3
(3181) googoloctexiduennex = E100#1#1#1#1#1#1#1#2#3
ginorgoloctexiduennex = E100#100#100#100#100#100#100#100#2#3
(3182) ginorgoloctexiduennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#3
ginorgolduoctexiduennex = E100#100#100#100#100#100#100#100#3#3
(3183) ginorgolduoctexiduennexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3#3
etc.
How about some...
(3184) milliennexion = E6#1#1#1#1#1#1#1#1#2
(3185) milliheptexiennexion = E6#1#1#1#1#1#1#2#1#2
(3186) millioctexiennexion = E6#1#1#1#1#1#1#1#2#2
(3187) milliduoctexiennexion = E6#1#1#1#1#1#1#1#3#2
(3188) milliduennexion = E6#1#1#1#1#1#1#1#1#3
Applying the new suffix -ennex to eceton as follows:...
eceto-gargantuul = E303#303#303#303#303#303#303#303#303
ecetonennex = E303#1#1#1#1#1#1#1#1#2
(3189) ecetonplexiennex = E303#2#1#1#1#1#1#1#1#2
(3190) eceto-grangolennex = E303#303#1#1#1#1#1#1#1#2
(3191) ecetondexiennex = E303#1#2#1#1#1#1#1#1#2
(3192) eceto-greagolennex = E303#303#303#1#1#1#1#1#1#2
(3193) ecetonthrexiennex = E303#1#1#2#1#1#1#1#1#2
(3194) eceto-gigangolennex = E303#303#303#303#1#1#1#1#1#2
(3195) ecetontetrexiennex = E303#1#1#1#2#1#1#1#1#2
(3196) eceto-gorgegolennex = E303#303#303#303#303#1#1#1#1#2
(3197) ecetonpentexiennex = E303#1#1#1#1#2#1#1#1#2
(3198) eceto-gulgolennex = E303#303#303#303#303#303#1#1#1#2
(3199) ecetonhexiennex = E303#1#1#1#1#1#2#1#1#2
(3200) eceto-gaspgolennex = E303#303#303#303#303#303#303#1#1#2
(3201) ecetonheptexiennex = E303#1#1#1#1#1#1#2#1#2
(3202) eceto-ginorgolennex = E303#303#303#303#303#303#303#303#1#2
(3203) ecetonoctexiennex = E303#1#1#1#1#1#1#1#2#2
(3204) eceto-ginorgoloctexiennex = E303#303#303#303#303#303#303#303#2#2
(3205) eceto-ginorgolduoctexiennex = E303#303#303#303#303#303#303#303#3#2
eceto-gargantuulennex = E303#303#303#303#303#303#303#303#303#2
...
ecetonduennex = E303#1#1#1#1#1#1#1#1#3
(3206) eceto-grangolduennex = E303#303#1#1#1#1#1#1#1#3
(3207) eceto-greagolduennex = E303#303#303#1#1#1#1#1#1#3
(3208) eceto-gigangolduennex = E303#303#303#303#1#1#1#1#1#3
(3209) eceto-gorgegolduennex = E303#303#303#303#303#1#1#1#1#3
(3210) eceto-gulgolduennex = E303#303#303#303#303#303#1#1#1#3
(3211) eceto-gaspgolduennex = E303#303#303#303#303#303#303#1#1#3
(3212) eceto-ginorgolduennex = E303#303#303#303#303#303#303#303#1#3
(3213) eceto-ginorgoloctexiduennex = E303#303#303#303#303#303#303#303#2#3
(3214) eceto-ginorgolduoctexiduennex = E303#303#303#303#303#303#303#303#3#3
eceto-gargantuulduennex = E303#303#303#303#303#303#303#303#303#3
...
Endeka-towers (endekaxis)
tria-endekaxis = E1#1#1#1#1#1#1#1#1#3 = 10{10}3
tetra-endekaxis = E1#1#1#1#1#1#1#1#1#4 = 10{10}4
penta-endekaxis = E1#1#1#1#1#1#1#1#1#5 = 10{10}5
hexa-endekaxis = E1#1#1#1#1#1#1#1#1#6 = 10{10}6
hepta-endekaxis = E1#1#1#1#1#1#1#1#1#7 = 10{10}7
octa-endekaxis = E1#1#1#1#1#1#1#1#1#8 = 10{10}8
enna-endekaxis = E1#1#1#1#1#1#1#1#1#9 = 10{10}9
deka-endekaxis = E1#1#1#1#1#1#1#1#1#10 = 10{10}10
(A deka-endekaxis is equivalent to a tridecal in Bowers' system)
...
icosa-endekaxis = E1#1#1#1#1#1#1#1#1#20 = 10{10}20
hecta-endekaxis = E1#1#1#1#1#1#1#1#1#100 = 10{10}100
(In my system, hecta-endekaxis is also known as gexgol)
chilia-endekaxis = E1#1#1#1#1#1#1#1#1#1000 = 10{10}1000
myria-endekaxis = E1#1#1#1#1#1#1#1#1#10,000 = 10{10}10,000
(3215) mega-endekaxis = E1#1#1#1#1#1#1#1#1#1,000,000 = 10{10}1,000,000
octadia-endekaxis = E1#1#1#1#1#1#1#1#1#100,000,000 = 10{10}100,000,000
sedeniadia-endekaxis = E1#1#1#1#1#1#1#1#1#10,000,000,000,000,000 = 10{10}10^16
...
Let's finish it with...
(3216) googolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E100) = 10{10}10^100
(3217) dekalogia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#10) = 10{10}10^^10
(3218) hectalogia-endekaxis or (3219) giggolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#100) = 10{10}10^^100
(3220) deka-taxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#10) = 10{10}10^^^10
(3221) hecta-taxia-endekaxis or (3222) gaggolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#100) = 10{10}10^^^100
(3223) deka-petaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#10) = 10{10}10^^^^10
(3224) hecta-petaxia-endekaxis or (3225) geegolia-ennaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#100) = 10{10}10^^^^100
(3226) deka-exaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#10) = 10{10}10{5}10
(3227) hecta-exaxia-endekaxis or (3228) gigolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#100) = 10{10}10{5}100
(3229) deka-eptaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#10) = 10{10}10{6}10
(3230) hecta-eptaxia-endekaxis or (3231) goggolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#100) = 10{10}10{6}100
(3232) deka-octaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#10) = 10{10}10{7}10
(3233) hecta-octaxia-endekaxis or (3234) gagolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#100) = 10{10}10{7}100
(3235) deka-ennaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#10) = 10{10}10{8}10
(3236) hecta-ennaxia-endekaxis or (3237) gocgolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#100) = 10{10}10{8}100
(3238) deka-dekaxia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#10) = 10{10}10{9}10
(3239) hecta-dekaxia-endekaxis or (3240) gengolia-endekaxis = E1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#100) = 10{10}10{9}100
deka-endekaxia-endekaxis = E1#1#1#1#1#1#1#1#1#10#2 = 10{10}10{10}10
(3241) hecta-endekaxia-endekaxis = E1#1#1#1#1#1#1#1#1#100#2 = 10{10}10{10}100
Googondol regiment
(3242-3605)
Introduction
Time to speed up to the 10th regiment, and possibly, the last in Hyper-E, as we will switch from Hyper-E to Extended Hyper-E notation. The 10th regiment is named as: googondol (googondo googol). It is defined as:
googondol = E100##10
But first... let's coin googondol with previous suffixes...
googondolplex = E(E100#100#100#100#100#100#100#100#100#100)
googondoldex = E100#(E100#100#100#100#100#100#100#100#100#100)
googondolthrex = E100#100#(E100#100#100#100#100#100#100#100#100#100)
googondoltetrex = E100#100#100#(E100#100#100#100#100#100#100#100#100#100)
googondolpentex = E100#100#100#100#(E100#100#100#100#100#100#100#100#100#100)
googondolhex = E100#100#100#100#100#(E100#100#100#100#100#100#100#100#100#100)
googondolheptex = E100#100#100#100#100#100#(E100#100#100#100#100#100#100#100#100#100)
googondoloctex = E100#100#100#100#100#100#100#(E100#100#100#100#100#100#100#100#100#100)
googondolennex = E100#100#100#100#100#100#100#100#(E100#100#100#100#100#100#100#100#100#100)
= E100#100#100#100#100#100#100#100#100#101
Now, let's enjoy the -decex part of it.
googondoldecex = E100#100#100#100#100#100#100#100#100#100#2
googondoldudecex = E100#100#100#100#100#100#100#100#100#100#3
googondoltridecex = E100#100#100#100#100#100#100#100#100#100#4
(3242) googondolquadridecex = E100#100#100#100#100#100#100#100#100#100#5
(3243) googondolquintidecex = E100#100#100#100#100#100#100#100#100#100#6
...
(3244) googondoldecidecex = E100#100#100#100#100#100#100#100#100#100#11
...
googondolcentidecex = E100#100#100#100#100#100#100#100#100#100#101
(3245) googondolmillidecex = E100#100#100#100#100#100#100#100#100#100#1001
...
now we can apply our suffixes ...
googondolding = E500#500#500#500#500#500#500#500#500#500 = E500##10
(3246) googondoldecexiding = E500#500#500#500#500#500#500#500#500#500#2 = E(500#)^10 2
(3247) googondoldudecexiding = E500#500#500#500#500#500#500#500#500#500#3 = E(500#)^10 3
...
googondolchime = E1000#1000#1000#1000#1000#1000#1000#1000#1000#1000 = E1000##10
googondoldecexichime = E1000#1000#1000#1000#1000#1000#1000#1000#1000#1000#2 = E(1000#)^10 2
googondoldudecexichime = E1000#1000#1000#1000#1000#1000#1000#1000#1000#1000#3 = E(1000#)^10 3
(3248) googondultridecexichime = E(1000#)^10 4
...
googondolbell = E5000#5000#5000#5000#5000#5000#5000#5000#5000#5000 = E5000##10
(3249) googondoldecexibell = E(5000#)^10 2
(3250) googondoldudecexibell = E(5000#)^10 3
...
googondoltoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000 = E10,000##10
googondoldecexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2 = E(10,000#)^10 2
googondoldudecexitoll = E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3 = E(10,000#)^10 3
(3251) googondoltridecexitoll = E(100,000#)^10 3
...
(3252) googondolring = E50,000##10
(3253) googondoldecexiring = E(50,000#)^10 2
(3254) googondoldudecexiring = E(50,000#)^10 3
...
googondolgong
= E100,000##10
googondoldecexigong
= E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 = E(100,000#)^10 2
googondoldudecexigong
= E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
= E(100,000#)^10 3
(3255) googondoltridecexigong = E(100,000#)^10 4
...
(3256) googondolclang = E500,000##10
(3257) googondoldecexiclang = E(500,000#)^10 2
(3258) googondoldudecexiclang = E(500,000#)^10 3
...
googondolbong
= E100,000,000##10
googondoldecexibong
= E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2 = E(100,000,000#)^10 2
googondoldudecexibong
= E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#3 = E(100,000,000#)^10 3
(3259) googondoltridecexibong = E(100,000,000#)^10 4
...
googondolthrong
= E100,000,000,000##10
googondoldecexithrong
= E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
googondoldudecexithrong
= E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#3
(3260) googondoltridecexithrong = E(100,000,000,000#)^10 4
...
googondolgandingan
= E100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#
100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000
(3261) googondoldecexigandingan = E(10^14#)^10 4
Combining gexgol with other suffixes
(3262) gexgolding = E1#1#1#1#1#1#1#1#1#500 = 10{10}500
(3263) gexgolchime = E1#1#1#1#1#1#1#1#1#1000 = 10{10}1000
(3264) gexgolbell = E1#1#1#1#1#1#1#1#1#5000 = 10{10}5000
(3265) gexgoltoll = E1#1#1#1#1#1#1#1#1#10,000 = 10{10}10,000
(3266) gexgolring = E1#1#1#1#1#1#1#1#1#50,000 = 10{10}50,000
(3267) gexgolgong = E1#1#1#1#1#1#1#1#1#100,000 = 10{10}100,000
(3268) gexgolclang = E1#1#1#1#1#1#1#1#1#500,000 = 10{10}500,000
(3269) gexgolbong = E1#1#1#1#1#1#1#1#1#100,000,000 = 10{10}100,000,000
(3270) gexgolthrong = E1#1#1#1#1#1#1#1#1#100,000,000,000 = 10{10}100,000,000,000
(3271) gexgolgandingan = E1#1#1#1#1#1#1#1#1#10^14 = 10{10}10^14
...
(3272) gexgolplex or (3273) gexgoldecex = E1#1#1#1#1#1#1#1#1#100#2 = 10{10}10{10}100
(3274) gexgolplexiding or (3275) gexgoldecexiding = E1#1#1#1#1#1#1#1#1#500#2 = 10{10}10{10}500
(3276) gexgolplexichime or (3277) gexgoldecexichime = E1#1#1#1#1#1#1#1#1#1000#2 = 10{10}10{10}1000
(3278) gexgolplexibell or (3279) gexgoldecexibell = E1#1#1#1#1#1#1#1#1#5000#2 = 10{10}10{10}5000
(3280) gexgolplexitoll or (3281) gexgoldecexitoll = E1#1#1#1#1#1#1#1#1#10,000#2 = 10{10}10{10}10,000
(3282) gexgolplexiring or (3283) gexgoldecexiring = E1#1#1#1#1#1#1#1#1#50,000#2 = 10{10}10{10}50,000
(3284) gexgolplexigong or (3285) gexgoldecexigong = E1#1#1#1#1#1#1#1#1#100,000#2 = 10{10}10{10}100,000
(3286) gexgolplexiclang or (3287) gexgoldecexiclang = E1#1#1#1#1#1#1#1#1#500,000#2 = 10{10}10{10}500,000
(3288) gexgolplexibong or (3289) gexgoldecexibong = E1#1#1#1#1#1#1#1#1#100,000,000#2 = 10{10}10{10}100,000,000
(3290) gexgolplexithrong or (3291) gexgoldecexithrong = E1#1#1#1#1#1#1#1#1#(E11)#2 = 10{10}10{10}10^11
(3292) gexgolplexigandingan or (3293) gexgoldecexigandingan = E1#1#1#1#1#1#1#1#1#(E14)#2 = 10{10}10{10}10^14
etc.
Intermediate numbers part 10
Next in the list, are the combinatorial googolism's ...
googoldecex = E100#1#1#1#1#1#1#1#1#1#2
(3294) googoldecexigong = E100,000#1#1#1#1#1#1#1#1#1#2
(3295) googolplexidecex = E100#2#1#1#1#1#1#1#1#1#2
grangoldecex = E100#100#1#1#1#1#1#1#1#1#2
(3296) grangoldecexigong = E100,000#100,000#1#1#1#1#1#1#1#1#2
(3297) googoldexidecex = E100#1#2#1#1#1#1#1#1#1#2
(3298) grangoldexidecex = E100#100#2#1#1#1#1#1#1#1#2
greagoldecex = E100#100#100#1#1#1#1#1#1#1#2
(3299) greagoldecexigong = E100,000#100,000#100,000#1#1#1#1#1#1#1#2
(3300) googolthrexidecex = E100#1#1#2#1#1#1#1#1#1#2
(3301) grangolthrexidecex = E100#100#1#2#1#1#1#1#1#1#2
(3302) greagolthrexidecex = E100#100#100#2#1#1#1#1#1#1#2
gigangoldecex = E100#100#100#100#1#1#1#1#1#1#2
(3303) gigangoldecexigong = E100,000#100,000#100,000#100,000#1#1#1#1#1#1#2
(3304) googoltetrexidecex = E100#1#1#1#2#1#1#1#1#1#2
(3305) grangoltetrexidecex = E100#100#1#1#2#1#1#1#1#1#2
(3306) greagoltetrexidecex = E100#100#100#1#2#1#1#1#1#1#2
(3307) gigangoltetrexidecex = E100#100#100#100#2#1#1#1#1#1#2
gorgegoldecex = E100#100#100#100#100#1#1#1#1#1#2
(3308) gorgegoldecexigong = E100,000#100,000#100,000#100,000#100,000#1#1#1#1#1#2
(3309) googolpentexidecex = E100#1#1#1#1#2#1#1#1#1#2
(3310) grangolpentexidecex = E100#100#1#1#1#2#1#1#1#1#2
(3311) greagolpentexidecex = E100#100#100#1#1#2#1#1#1#1#2
(3312) gigangolpentexidecex = E100#100#100#100#1#2#1#1#1#1#2
(3313) gorgegolpentexidecex = E100#100#100#100#100#2#1#1#1#1#2
gulgoldecex = E100#100#100#100#100#100#1#1#1#1#2
(3314) gulgoldecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#1#1#1#1#2
(3315) googolhexidecex = E100#1#1#1#1#1#2#1#1#1#2
(3316) grangolhexidecex = E100#100#1#1#1#1#2#1#1#1#2
(3317) greagolhexidecex = E100#100#100#1#1#1#2#1#1#1#2
(3318) gigangolhexidecex = E100#100#100#100#1#1#2#1#1#1#2
(3319) gorgegolhexidecex = E100#100#100#100#100#1#2#1#1#1#2
(3320) gulgolhexidecex = E100#100#100#100#100#100#2#1#1#1#2
gaspgoldecex = E100#100#100#100#100#100#100#1#1#1#2
(3321) gaspgoldecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#1#1#2
(3322) googolheptexidecex = E100#1#1#1#1#1#1#2#1#1#2
(3323) grangolheptexidecex = E100#100#1#1#1#1#1#2#1#1#2
(3324) greagolheptexidecex = E100#100#100#1#1#1#1#2#1#1#2
(3325) gigangolheptexidecex = E100#100#100#100#1#1#1#2#1#1#2
(3326) gorgegolheptexidecex = E100#100#100#100#100#1#1#2#1#1#2
(3327) gulgolheptexidecex = E100#100#100#100#100#100#1#2#1#1#2
(3328) gaspgolheptexidecex = E100#100#100#100#100#100#100#2#1#1#2
ginorgoldecex = E100#100#100#100#100#100#100#100#1#1#2
(3329) ginorgoldecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#1#2
(3330) googoloctexidecex = E100#1#1#1#1#1#1#1#2#1#2
(3331) grangoloctexidecex = E100#100#1#1#1#1#1#1#2#1#2
(3332) greagoloctexidecex = E100#100#100#1#1#1#1#1#2#1#2
(3333) gigangoloctexidecex = E100#100#100#100#1#1#1#1#2#1#2
(3334) gorgegoloctexidecex = E100#100#100#100#100#1#1#1#2#1#2
(3335) gulgoloctexidecex = E100#100#100#100#100#100#1#1#2#1#2
(3336) gaspgoloctexidecex = E100#100#100#100#100#100#100#1#2#1#2
(3337) ginorgoloctexidecex = E100#100#100#100#100#100#100#100#2#1#2
gargantuuldecex = E100#100#100#100#100#100#100#100#100#1#2
(3338) gargantuuldecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#2
(3339) googolennexidecex = E100#1#1#1#1#1#1#1#1#2#2
(3340) grangolennexidecex = E100#100#1#1#1#1#1#1#1#2#2
(3341) greagolennexidecex = E100#100#100#1#1#1#1#1#1#2#2
(3342) gigangolennexidecex = E100#100#100#100#1#1#1#1#1#2#2
(3343) gorgegolennexidecex = E100#100#100#100#100#1#1#1#1#2#2
(3344) gulgolennexidecex = E100#100#100#100#100#100#1#1#1#2#2
(3345) gaspgolennexidecex = E100#100#100#100#100#100#100#1#1#2#2
(3346) ginorgolennexidecex = E100#100#100#100#100#100#100#100#1#2#2
gargantuulennexidecex = E100#100#100#100#100#100#100#100#100#2#2
(3347) gargantuulennexidecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#2
(3348) googolduennexidecex = E100#1#1#1#1#1#1#1#1#3#2
(3349) grangolduennexidecex = E100#100#1#1#1#1#1#1#1#3#2
(3350) greagolduennexidecex = E100#100#100#1#1#1#1#1#1#3#2
(3351) gigangolduennexidecex = E100#100#100#100#1#1#1#1#1#3#2
(3352) gorgegolduennexidecex = E100#100#100#100#100#1#1#1#1#3#2
(3353) gulgolduennexidecex = E100#100#100#100#100#100#1#1#1#3#2
(3354) gaspgolduennexidecex = E100#100#100#100#100#100#100#1#1#3#2
(3355) ginorgolduennexidecex = E100#100#100#100#100#100#100#100#1#3#2
gargantuulduennexidecex = E100#100#100#100#100#100#100#100#100#3#2
(3356) gargantuulduennexidecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3#2
...
in between googondoldecex and googondoldudecex are ...
(3357) googoldudecex = E100#1#1#1#1#1#1#1#1#1#3
(3358) grangoldudecex = E100#100#1#1#1#1#1#1#1#1#3
(3359) greagoldudecex = E100#100#100#1#1#1#1#1#1#1#3
(3360) gigangoldudecex = E100#100#100#100#1#1#1#1#1#1#3
(3361) gorgegoldudecex = E100#100#100#100#100#1#1#1#1#1#3
(3362) gulgoldudecex = E100#100#100#100#100#100#1#1#1#1#3
(3363) gaspgoldudecex = E100#100#100#100#100#100#100#1#1#1#3
(3364) ginorgoldudecex = E100#100#100#100#100#100#100#100#1#1#3
gargantuuldudecex = E100#100#100#100#100#100#100#100#100#1#3
(3365) gargantuuldudecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#1#3
gargantuulennexidudecex = E100#100#100#100#100#100#100#100#100#2#3
(3366) gargantuulennexidudecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2#3
gargantuulduennexidudecex = E100#100#100#100#100#100#100#100#100#3#3
(3367) gargantuulduennexidudecexigong = E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3#3
...
(3368) millidecexion = E6#1#1#1#1#1#1#1#1#1#2
(3369) millioctexidecexion = E6#1#1#1#1#1#1#1#2#1#2
(3370) milliennexidecexion = E6#1#1#1#1#1#1#1#1#2#2
(3371) milliduennexidecexion = E6#1#1#1#1#1#1#1#1#3#2
(3372) millidudecexion = E6#1#1#1#1#1#1#1#1#1#3
...
eceto-googondol = E303#303#303#303#303#303#303#303#303#303 = E303##10
ecetondecex = E303#1#1#1#1#1#1#1#1#1#2
(3373) ecetonplexidecex = E303#2#1#1#1#1#1#1#1#1#2
(3374) eceto-grangoldecex = E303#303#1#1#1#1#1#1#1#1#2
(3375) ecetondexidecex = E303#1#2#1#1#1#1#1#1#1#2
(3376) eceto-greagoldecex = E303#303#303#1#1#1#1#1#1#1#2
(3377) ecetonthrexidecex = E303#1#1#2#1#1#1#1#1#1#2
(3378) eceto-gigangoldecex = E303#303#303#303#1#1#1#1#1#1#2
(3379) ecetontetrexidecex = E303#1#1#1#2#1#1#1#1#1#2
(3380) eceto-gorgegoldecex = E303#303#303#303#303#1#1#1#1#1#2
(3381) ecetonpentexidecex = E303#1#1#1#1#2#1#1#1#1#2
(3382) eceto-gulgoldecex = E303#303#303#303#303#303#1#1#1#1#2
(3383) ecetonhexidecex = E303#1#1#1#1#1#2#1#1#1#2
(3384) eceto-gaspgoldecex = E303#303#303#303#303#303#303#1#1#1#2
(3385) ecetonheptexidecex = E303#1#1#1#1#1#1#2#1#1#2
(3386) eceto-ginorgoldecex = E303#303#303#303#303#303#303#303#1#1#2
(3387) ecetonoctexidecex = E303#1#1#1#1#1#1#1#2#1#2
(3388) eceto-gargantuuldecex = E303#303#303#303#303#303#303#303#303#1#2
(3389) ecetonennexidecex = E303#1#1#1#1#1#1#1#1#2#2
(3390) eceto-gargantuulennexidecex = E303#303#303#303#303#303#303#303#303#2#2
(3391) eceto-gargantuulduennexidecex = E303#303#303#303#303#303#303#303#303#2#2
eceto-googondoldecex = E303#303#303#303#303#303#303#303#303#303#2
...
ecetondudecex = E303#1#1#1#1#1#1#1#1#1#3
(3392) eceto-grangoldudecex = E303#303#1#1#1#1#1#1#1#1#3
(3393) eceto-greagoldudecex = E303#303#303#1#1#1#1#1#1#1#3
(3394) eceto-gigangoldudecex = E303#303#303#303#1#1#1#1#1#1#3
(3395) eceto-gorgegoldudecex = E303#303#303#303#303#1#1#1#1#1#3
(3396) eceto-gulgoldudecex = E303#303#303#303#303#303#1#1#1#1#3
(3397) eceto-gaspgoldudecex = E303#303#303#303#303#303#303#1#1#1#3
(3398) eceto-ginorgoldudecex = E303#303#303#303#303#303#303#303#1#1#3
(3399) eceto-gargantuuldudecex = E303#303#303#303#303#303#303#303#303#1#3
(3400) eceto-gargantuulennexidudecex = E303#303#303#303#303#303#303#303#303#2#3
(3401) eceto-gargantuulduennexidudecex = E303#303#303#303#303#303#303#303#303#3#3
eceto-googondoldudecex = E303#303#303#303#303#303#303#303#303#303#3
Dodeka-towers (dodekaxis)
tria-dodekaxis = E1#1#1#1#1#1#1#1#1#1#3 = 10{11}3
tetra-dodekaxis = E1#1#1#1#1#1#1#1#1#1#4 = 10{11}4
penta-dodekaxis = E1#1#1#1#1#1#1#1#1#1#5 = 10{11}5
hexa-dodekaxis = E1#1#1#1#1#1#1#1#1#1#6 = 10{11}6
hepta-dodekaxis = E1#1#1#1#1#1#1#1#1#1#7 = 10{11}7
octa-dodekaxis = E1#1#1#1#1#1#1#1#1#1#8 = 10{11}8
enna-dodekaxis = E1#1#1#1#1#1#1#1#1#1#9 = 10{11}9
deka-dodekaxis = E1#1#1#1#1#1#1#1#1#1#10 = 10{11}10
...
icosa-dodekaxis = E1#1#1#1#1#1#1#1#1#1#20 = 10{11}20
hecta-dodekaxis = E1#1#1#1#1#1#1#1#1#1#100 = 10{11}100
chilia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#1000 = 10{11}1000
myria-dodekaxis = E1#1#1#1#1#1#1#1#1#1#10,000 = 10{11}10,000
(3402) mega-dodekaxis = E1#1#1#1#1#1#1#1#1#1#1,000,000 = 10{11}1,000,000
octadia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#100,000,000 = 10{11}100,000,000
sedeniadia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#10,000,000,000,000,000 = 10{11}10^16
...
(3403) googolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E100) = 10{11}10^100
(3404) dekalogia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#10) = 10{11}10^^10
(3405) hectalogia-dodekaxis or (3406) giggolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#100) = 10{11}10^^100
(3407) deka-taxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#10) = 10{11}10^^^10
(3408) hecta-taxia-dodekaxis or (3409) gaggolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#100) = 10{11}10^^^100
(3410) deka-petaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#10) = 10{11}10^^^^10
(3411) hecta-petaxia-dodekaxis or (3412) geegolia-ennaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#100) = 10{11}10^^^^100
(3413) deka-exaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#10) = 10{11}10{5}10
(3414) hecta-exaxia-dodekaxis or (3415) gigolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#E1#1#1#1#100) = 10{11}10{5}100
(3416) deka-eptaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#10) = 10{11}10{6}10
(3417) hecta-eptaxia-dodekaxis or (3418) goggolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#100) = 10{11}10{6}100
(3419) deka-octaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#10) = 10{11}10{7}10
(3420) hecta-octaxia-dodekaxis or (3421) gagolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#100) = 10{11}10{7}100
(3422) deka-ennaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#10) = 10{11}10{8}10
(3423) hecta-ennaxia-dodekaxis or (3424) gocgolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#100) = 10{11}10{8}100
(3424) deka-dekaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#10) = 10{11}10{9}10
(3425) hecta-dekaxia-dodekaxis or (3426) gengolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#100) = 10{11}10{9}100
(3427) deka-endekaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#1#10) = 10{11}10{10}10
(3428) hecta-endekaxia-dodekaxis or (3429) gexgolia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#(E1#1#1#1#1#1#1#1#1#100) = 10{11}10{10}100
deka-dodekaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#10#2 = 10{11}10{11}10
(3430) hecta-dodekaxia-dodekaxis = E1#1#1#1#1#1#1#1#1#1#100#2 = 10{11}10{11}100
...
Outro
To wrap up this regiment... time to generalize the nth gol. Since DLM coined many goo-n-gol numbers, I will not list all of them (for now).
googoadol = E100##11
googoadolendecex = E100#100#100#100#100#100#100#100#100#100#100#2
googoadolduendecex = E100#100#100#100#100#100#100#100#100#100#100#3
googoadolchime = E1000##11
googoadoltoll = E10,000##11
googoadolgong = E100,000##11
(3431) googoadolbong = E100,000,000##11
(3432) googoadolthrong = E100,000,000,000##11
eceto-googoadol = E303##11
...
tria-triadekaxis = E1#1#1#1#1#1#1#1#1#1#1#3 (12 arguments) = 10{12}3
tetra-triadekaxis = E1#1#1#1#1#1#1#1#1#1#1#4 (12 arguments) = 10{12}4
(3433) penta-triadekaxis = E1#1#1#1#1#1#1#1#1#1#1#5 (12 arguments) = 10{12}5
deka-triadekaxis = E1#1#1#1#1#1#1#1#1#1#1#10 (12 arguments) = 10{12}10
hecta-triadekaxis = E1#1#1#1#1#1#1#1#1#1#1#100 (12 arguments) = 10{12}100
...
goograndol = E100##12
goograndoldodecex = E100#100#100#100#100#100#100#100#100#100#100#100#2 = E(100#)^12 2
(I will not use the notation E100(##12)#2, to prevent ambiguity with E100##12#2, which is much larger.)
goograndolchime = E1000##12
goograndoltoll = E10,000##12
goograndolgong = E100,000##12
(3434) goograndolbong = E100,000,000##12
(3435) goograndolthrong = E100,000,000,000##12
(3436) eceto-goograndol = E303##12
...
tria-tetradekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#3 (13 arguments) = 10{13}3
tetra-tetradekaxis = E1#1#1#1#1#1#1#1#1#1#1#4 (13 arguments) = 10{13}4
(3437) penta-tetradekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#5 (13 arguments) = 10{13}5
deka-tetradekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#10 (13 arguments) = 10{13}10
hecta-tetradekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#100 (13 arguments) = 10{13}100
...
googreadol = E100##13
googreadoltriadecex = E100#100#100#100#100#100#100#100#100#100#100#100#100#2 = E(100#)^13 2
This number, is applied with -triadecex, to prevent confusion with -tredecex, a much smaller output.
(3438) googreadoldecex = E100#100#100#100#100#100#100#100#100#(E100##13)
(3439) googreadoldudecex = E100#100#100#100#100#100#100#100#100#(googreadoldecex)
(3440) googreadoltredecex = E100#100#100#100#100#100#100#100#100#(googreadoldudecex)
(3441) googreadolchime = E1000##13
(3442) googreadoltoll = E10,000##13
googreadolgong = E100,000##13
(3443) googreadolbong = E100,000,000##13
(3444) googreadolthrong = E100,000,000,000##13
(3445) eceto-googreadol = E303##13
...
tria-pentadekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#1#3 = E(1#)^13 3 (14 arguments) = 10{14}3
tetra-pentadekaxis = E1#1#1#1#1#1#1#1#1#1#1#4 = E(1#)^13 4 (14 arguments) = 10{14}4
penta-pentadekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#5 = E(1#)^13 5 (14 arguments) = 10{14}5
deka-pentadekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#10 = E(1#)^13 10 (14 arguments) = 10{14}10
hecta-pentadekaxis = E1#1#1#1#1#1#1#1#1#1#1#1#100 (14 arguments) = 10{14}100
...
googigandol = E100##14
googigandoltetradecex = E(100#)^14 2
(3446) googigandolchime = E1000##14
(3447) googigandoltoll = E10,000##14
googigandolgong = E100,000##14
(3448) googigandolbong = E100,000,000##14
(3449) googigandolthrong = E100,000,000,000##14
(3450) eceto-googigandol = E303##14
...
tria-hexadekaxis = E(1#)^14 3 = 10{15}3
tetra-hexadekaxis = E(1#)^14 4 = 10{15}4
penta-hexadekaxis = E(1#)^14 5 = 10{15}5
deka-hexadekaxis = E(1#)^14 10 = 10{15}10
hecta-hexadekaxis = E(1#)^14 100 = 10{15}100
...
googorgedol = E100##15
(3451) googorgedolpentadecex = E(100#)^15 2
(3452) googorgedolchime = E1000##15
(3453) googorgedoltoll = E10,000##15
(3454) googorgedolgong = E100,000##15
(3455) googorgedolbong = E100,000,000##15
(3456) googorgedolthrong = E100,000,000,000##15
(3457) eceto-googorgedol = E303##15
...
tria-heptadekaxis = E(1#)^15 3 = 10{16}3
tetra-heptadekaxis = E(1#)^15 4 = 10{16}4
penta-heptadekaxis = E(1#)^15 5 = 10{16}5
deka-heptadekaxis = E(1#)^15 10 = 10{16}10
hecta-heptadekaxis = E(1#)^15 100 = 10{16}100
...
googuldol = E100##16
(3458) googuldolhexadecex = E(100#)^16 2
(3459) googuldolchime = E1000##16
(3460) googuldoltoll = E10,000##16
(3461) googuldolgong = E100,000##16
(3462) googuldolbong = E100,000,000##16
(3463) googuldolthrong = E100,000,000,000##16
(3464) eceto-googuldol = E303##16
...
tria-octadekaxis = E(1#)^16 3 = 10{17}3
tetra-octadekaxis = E(1#)^16 4 = 10{17}4
penta-octadekaxis = E(1#)^16 5 = 10{17}5
deka-octadekaxis = E(1#)^16 10 = 10{17}10
hecta-octadekaxis = E(1#)^16 100 = 10{17}100
...
googaspdol = E100##17
(3465) googaspdolheptadecex = E(100#)^17 2
(3466) googaspdolchime = E1000##17
(3467) googaspdoltoll = E10,000##17
(3468) googaspdolgong = E100,000##17
(3469) googaspdolbong = E100,000,000##17
(3470) googaspdolthrong = E100,000,000,000##17
(3471) eceto-googaspdol = E303##17
...
tria-nonadekaxis or (3472) tria-ennadekaxis = E(1#)^17 3 = 10{18}3
tetra-nonadekaxis or (3473) tetra-ennadekaxis = E(1#)^17 4 = 10{18}4
penta-nonadekaxis or (3474) penta-ennadekaxis = E(1#)^17 5 = 10{18}5
deka-nonadekaxis or (3475) deka-ennadekaxis = E(1#)^17 10 = 10{18}10
hecta-nonadekaxis or (3476) hecta-ennadekaxis = E(1#)^17 100 = 10{18}100
...
googinordol = E100##18
(3477) googinordoloctadecex = E(100#)^18 2
(3478) googinordolchime = E1000##18
(3479) googinordoltoll = E10,000##18
(3480) googinordolgong = E100,000##18
(3481) googinordolbong = E100,000,000##18
(3482) googinordolthrong = E100,000,000,000##18
(3483) eceto-googinordol = E303##18
...
tria-icosaxis = E(1#)^18 3 = 10{19}3
tetra-icosaxis = E(1#)^18 4 = 10{19}4
penta-icosaxis = E(1#)^18 5 = 10{19}5
deka-icosaxis = E(1#)^18 10 = 10{19}10
hecta-icosaxis = E(1#)^18 100 = 10{19}100
...
googarganduul = E100##19
(3484) googarganduulennadecex = E(100#)^19 2
(3485) googarganduulchime = E1000##19
(3486) googarganduultoll = E10,000##19
(3487) googarganduulgong = E100,000##19
(3488) googarganduulbong = E100,000,000##19
(3489) googarganduulthrong = E100,000,000,000##19
(3490) eceto-googarganduul = E303##19
...
(3491) tria-henicosaxis or (3492) tria-meicosaxis = E(1#)^19 3 = 10{20}3
(3493) tetra-henicosaxis or (3494) tetra-meicosaxis = E(1#)^19 4 = 10{20}4
(3495) penta-henicosaxis or (3496) penta-meicosaxis = E(1#)^19 5 = 10{20}5
(3497) deka-henicosaxis or (3498) deka-meicosaxis = E(1#)^19 10 = 10{20}10
(3499) hecta-henicosaxis or (3500) hecta-meicosaxis = E(1#)^19 100 = 10{20}100
...
googonkosol = E100##20
(3501) googonkosolicosex = E(100#)^20 2
(3502) googonkosolchime = E1000##20
(3503) googonkosoltoll = E10,000##20
(3504) googonkosolgong = E100,000##20
(3505) googonkosolbong = E100,000,000##20
(3506) googonkosolthrong = E100,000,000,000##20
(3507) eceto-googonkosol = E303##20
...
(3508) deka-pentacosaxis = E(1#)^23 10 = 10{24}10
...
googorgekosol = E100##25
(3509) googorgekosolpentacosex = E(100#)^25 2
(3510) eceto-googorgekosol = E303##25
...
deka-triacontaxis = E(1#)^28 10 = 10{29}10
...
googontritol = E100##30
(3511) googontritoltriantex = E(100#)^30 2
(3512) eceto-googontritol = E303##30
...
(3513) deka-pentetriacontaxis = E(1#)^33 10 = 10{34}10
...
googorgetritol = E100##35
(3514) googorgetrisolpentetriantex = E(100#)^35 2
(3515) eceto-googorgetritol = E303##35
...
(3516) deka-tetracontaxis = E(1#)^38 10 = 10{39}10
...
googonsartol = E100##40
(3517) googonsartolsarantex or (3518) googonsartoltetracontex = E(100#)^40 2
(3519) eceto-googonsartol = E303##40
...
(3520) deka-pentetetracontaxis = E(1#)^43 10 = 10{44}10
...
googorgesartol = E100##45
(3521) googorgesartolpentesarantex or (3522) googorgesartolpentetetracontex = E(100#)^45 2
(3523) eceto-googorgesartol = E303##45
...
(3524) deka-pentacontaxis = E(1#)^48 10 = 10{49}10
...
googonpetol = E100##50
(3525) googonpetolpenintex or (3526) googonpetolpentacontex = E(100#)^50 2
(3527) eceto-googonpetol = E303##50
googorgepetol = E100##55
(3528) googorgepetolpentepenintex or (3529) googorgepetolpentepentacontex = E(100#)^55 2
(3530) eceto-googorgepetol = E303##55
...
(3531) deka-hexacontaxis = E(1#)^58 10 = 10{59}10
...
googonextol = E100##60
(3532) googonextolexintex or (3533) googonextolhexacontex = E(100#)^60 2
(3534) eceto-googonextol = E303##60
googorgeextol = E100##65
(3535) googorgeextolpenteexintex or (3536) googorgeextolpentehexacontex = E(100#)^65 2
(3537) eceto-googorgeextol = E303##65
...
(3538) deka-heptacontaxis = E(1#)^68 10 = 10{69}10
...
googoneptol = E100##70
(3539) googoneptolebdomintex or (3540) googoneptolheptacontex = E(100#)^70 2
(3541) eceto-googoneptol = E303##70
googorgeeptol = E100##75
(3542) googorgeeptolpenteebdomintex or (3543) googorgeeptolpenteheptacontex = E(100#)^75 2
(3544) eceto-googorgeeptol = E303##75
...
(3545) deka-octacontaxis = E(1#)^78 10 = 10{79}10
...
googonogdol or (3546) googonoctol = E100##80
(3547) googonogdologdontex or (3548) googonoctoloctacontex = E(100#)^80 2
(3549) eceto-googonogdol or (3550) eceto-googonoctol = E303##80
googorgeogdol or (3551) googorgeoctol = E100##85
(3552) googorgeogdolpenteogdontex or (3553) googorgeoctolpenteoctacontex = E(100#)^85 2
(3554) eceto-googorgeoctol = E303##85
...
(3555) deka-ennacontaxis = E(1#)^88 10 = 10{89}10
...
googonentol = E100##90
(3556) googonentolenenintex or (3557) googonentolennacontex = E(100#)^90 2
(3558) eceto-googonentol = E303##90
googorgeentol = E100##95
(3559) googorgeentolpenteenenintex or (3560) googorgeentolpenteennacontex = E(100#)^95 2
(3561) eceto-googorgeentol = E303##95
...
(3562) deka-hectaxis = E(1#)^98 10 = 10{99}10
(3563) deka-mehectaxis = E(1#)^99 10 = 10{100}10
"deka-mehectaxis" is also known as "boogol" in Bowers' system.
googonhectol = E100##100
(3564) googonhectolhectex= E(100#)^100 2
Anyway... let's speed up our journey to the end of Hyper-E...
googondohectol = E100##200
googontriahectol = E100##300
googontetrahectol = E100##400
googonpentahectol = E100##500
googonhexahectol = E100##600
googonheptahectol = E100##700
googonoctahectol = E100##800
googonennahectol = E100##900
googonchilol or (3565) googonkilol = E100##1000
...
googonmyriol = E100##10,000
googonhecta-chilol = E100##100,000
*formerly googonhecta-chiliol
googonchilia-chilol or (3566) googonmegol = E100##1,000,000
*formerly googonchilia-chiliol
googonchilia-myriol = E100##10,000,000
googonmyria-myriol = E100##100,000,000
(also called googonoctadol)
(3566) googongigol = E100##1,000,000,000
(3567) googonterol = E100##1,000,000,000,000
For E100##(10^15), I will coin with additional letters to prevent confusion with googonpetol, a much smaller number.
(3568) googonpettol = E100##1,000,000,000,000,000
googonsedeniadol = E100##10,000,000,000,000,000
(3569) googonexol = E100##10^18
(3570) googonzettol = E100##10^21
(3571) googonyottol = E100##10^24
(3572) googonronnol = E100##10^27
(3573) googonquettol = E100##10^30
...
Introducing more diagonalization here... now!
googondialogiol = E100##(E10) = E100##10^10
googonguppiol = E100##(E20) = E100##guppy
googonminnowol = E100##(E25) = E100##minnow
googongobiol = E100##(E35) = E100##goby
googon-gogolol = E100##(E50) = E100##gogol
googon-ogolol = E100##(E80) = E100##ogol
googon-googolol = E100##1#2 = E100##(E100##1#1) = E100##(E100) = E100##(10^100) = E100##(googol)
= E100#100#100#100# ... ... ... ... ... ... ... ... #100#100#100#100 (w/ 10^100 100's)
WOW!
googon-gargoogolol = E100##(E200) = E100##gargoogol = E100##guppychime
*gargoogol = E200 = 10^200, so guppychime = gargoogol, hence also known as googon-guppychimol
googon-ecetonol = E100##(E303)
googon-googoldingol = E100##(E500) = E100##googolding (also known as (3574) googon-gogolchimol)
googon-googolchimol = E100##(E1000) = E100##googolchime
googon-googolbellol = E100##(E5000)
googon-googoltollol = E100##(E10,000)
(3575) googon-googolringol = E100##(E50,000)
googon-googolgongol = E100##(E100,000)
(3576) googon-googolclangol = E100##(E500,000)
googonmilliplexionol = E100##(E1,000,000)
googon-googolbongol = E100##(E100,000,000)
googonbilliplexionol = E100##(E1,000,000,000)
googontrialogiol = E100##(EE10) = E100##10^10^10
googon-googolthrongol = E100##(E100,000,000,000)
googontrilliplexionol = E100##(E1,000,000,000,000)
googon-googolgandingol = E100##(E100,000,000,000,000)
googon-guppyplexol = E100##(EE20)
googon-gogolplexol = E100##(EE50)
googon-googolplexol = E100##(EE100)
googon-ecetonplexol = E100##(EE303)
googon-googolplexichimol = E100##(EE1000)
googon-googolplexitollol = E100##(EE10,000)
googon-googolplexigongol = E100##(EE100,000)
googontetralogiol = E100##(EE10,000,000,000)
googon-googolduplexol = E100##(EEE100)
googon-ecetonduplexol = E100##(EE303)
(3577) googon-googolduplexichimol = E100##(EEE1000)
(3578) googon-googolduplexitollol = E100##(EEE10,000)
googon-googolduplexigongol = E100##(EEE100,000)
googonpentalogiol = E100##(EEE10,000,000,000)
googon-googoltriplexol = E100##(EEEE100)
(3579) googon-googoltriplexichimol = E100##(EEEE1000)
(3580) googon-googoltriplexitollol = E100##(EEEE10,000)
googon-googoltriplexigongol = E100##(EEEE100,000)
...
googonhexalogiol = E100##(E1#6)
googon-googolquadriplexol = E100##(E100#5)
googonheptalogiol = E100##(E1#7)
googon-googolquintiplexol = E100##(E100#6)
googonoctalogiol = E100##(E1#8)
googonennalogiol = E100##(E1#9)
googondekalogiol = E100##(E1#10)
(3581) googon-googoldeciplexol = E100##(E100#11)
googonhectalogiol or (3582) googon-giggolol = E100##(E1#100)
googon-grangolol = E100##(E100#100)
(3583) googon-eceto-grangolol = E100##(E303#303)
googonchilialogiol = E100##(E1#1000)
googon-grangolgongol = E100##(E100,000#100,000)
googon-googoldexol = E100##(E100#1#2) = E100##(E100#(E100))
googon-ecetondexol = E100##(E303#1#2)
googon-googolplexidexol = E100##(E100#2#2)
googon-tria-taxiol = E100##(E1#1#3)
(3584) googon-giggolplexol or (3585) googon-hectalogialogiol = E100##(E1#100#2)
googon-grangoldexol = E100##(E100#100#2)
(3586) googon-eceto-grangoldexol = E100##(E303#303#2)
googon-grangoldexigongol = E100##(E100,000#100,000#2)
googon-tetra-taxiol = E100##(E1#1#4)
googon-grangoldudexol = E100##(E100#100#3)
googon-deka-taxiol = E100##(E1#1#10)
googon-hecta-taxiol or (3587) googon-gaggolol = E100##(E1#1#100)
googon-greagolol = E100##(E100#100#100)
(3588) googon-eceto-greagolol = E100##(E303#303#303)
googon-greagolgongol = E100##(E100,000#100,000#100,000)
googon-tria-petaxiol = E100##(E1#1#1#3)
googon-greagolthrexol = E100##(E100#100#100#2)
googon-tetra-petaxiol = E100##(E1#1#1#4)
googon-deka-petaxiol = E100##(E1#1#1#10)
googon-hecta-petaxiol or (3588) googon-geegolol = E100##(E1#1#1#100)
googon-gigangolol = E100##(E100#100#100#100)
googon-gigangoltetrexol = E100##(E100#100#100#100#2)
googon-deka-exaxiol = E100##(E1#1#1#1#10)
googon-hecta-exaxiol or (3589) googon-gigolol = E100##(E1#1#1#1#100)
googon-gorgegolol = E100##(E100#100#100#100#100)
googon-hecta-eptaxiol or (3590) googon-goggolol = E100##(E1#1#1#1#1#100)
googon-gulgolol = E100##(E100##6)
googon-hecta-octaxiol or (3591) googon-gagolol = E100##(E1#1#1#1#1#1#100)
googon-gaspgolol = E100##(E100##7)
googon-hecta-ennaxiol or (3592) googon-gocgolol = E100##(E1#1#1#1#1#1#1#100)
googon-ginorgolol = E100##(E100#100#100#100#100#100#100#100)
(3593) googon-hecta-dekaxiol or (3594) googon-gengolol = E100##(E1#1#1#1#1#1#1#1#100)
googon-gargantuulol = E100##(E100#100#100#100#100#100#100#100#100)
googon-deka-endekaxiol = E100##(E1#1#1#1#1#1#1#1#1#10)
(3595) googon-hecta-endekaxiol or (3596) googon-gexgolol = E100##(E1#1#1#1#1#1#1#1#1#100)
googon-googondolol = E100##(E100#100#100#100#100#100#100#100#100#100)
(3597) googon-hecta-meicosaxiol = E100##(10{20}100)
googon-googonkosolol = E100##(E100##20)
googon-googonhectolol = E100##(E100##100) = E100##100#2
googon-googonchilol = E100##(E100##1000)
*formerly googon-googonchiliol
googon-googonmyriol = E100##(E100##10,000)
etc.
...
Now, time for the further diagonalization, by introducing the "great" prefix / operator:
great googol = E100##1#2 = E100##(E100##1#1) = E100##(E100) = E100##(10^100) = E100##(googol)
= E100#100#100#100# ... ... ... ... ... ... ... ... #100#100#100#100 (w/ 10^100 100's)
(also googon-googolol)
o_0;
great grangol ☆ = E100##2#2 = E100##(E100#100) (also googon-grangolol)
great greagol = E100##3#2 = E100##(E100#100#100) (also googon-greagolol)
great gigangol = E100##4#2 = E100##(E100#100#100#100) (also googon-gigangolol)
great gorgegol = E100##5#2 = E100##(E100#100#100#100#100) (also googon-gorgegolol)
great gulgol = E100##6#2 = E100##(E100##6) (also googon-gulgolol)
great gaspgol = E100##7#2 = E100##(E100##7) (also googon-gaspgolol)
great ginorgol = E100##8#2 = E100##(E100##8) (also googon-ginorgolol)
great gargantuul = E100##9#2 = E100##(E100##9) (also googon-gargantuulol)
and finally ...
great googondol = E100##10#2 (also googon-googondolol)
great googonkosol = E100##20#2 = E100##(E100##20) (also googon-googonkosolol)
great googonhectol = E100##100#2 = E100##(E100##100) (also googon-googonhectolol)
great googonchilol = E100##1000#2
great googonmyriol = E100##10,000#2
(3598) great googonoctadiol = E100##100,000,000#2
(3599) great googonsedeniadiol = E100##10^16#2
...
(3600) great great googol = E100##1#3 = E100##(E100##(E100))
(3601) great great grangol = E100##2#3 = E100##(E100##(E100#100))
(3602) great great greagol = E100##3#3 = E100##(E100##(E100#100#100))
(3603) great great gigangol = E100##4#3 = E100##(E100##(E100#100#100#100))
...
(3604) great great googondol = E100##10#3 = E100##(E100##(E100##10))
(3605) great great googonhectol = E100##100#3 = E100##(E100##(E100##100))
etc.
Now, with the double hyperions are there, the Hyper-E numbers are finally exhausted (for now). Moving on to the next regiment, but first... let's revisit previous regiments.
Hyper-E regiments supplement
(3606-3675)
It's now time to fill up the remaining numbers.
There are multiple ways to combine prefixes and suffixes with all the names and regiments.
Base names: "eyelash mite", "dust mite", "cheese mite", "clover mite", "pipsqueak", "little squeaker / squeaker", "small fry", "guppy", "minnow", "goby", "gogol", "prawn", "lightweight", "twerpuloid", "googol" and "eceton". (total: 16)
N-ary numbers: binary, ternary, quarternary, quinary, senary, septenary, octal, nonary, decimal (by default), undecimal, duodecimal, hexadecimal, vigesimal, niftimal (base 36), sexagesimal, centesimal. (total: 16), it becomes 256 so far.
Suffixes close to the number: -speck, -crumb, -chunk, -bunch, -crowd, -swarm. (total: 7 (including none), total so far: 1792)
Modifiers like -ring, -chime, -bell, -toll, -ring, -gong, -clang, -bong, -throng and -gandingan will increase the possible numbers to... 17,920.
Note that the order is important. For example, googolplex-swarmed is not the same as googolswarm-plexed, as a result, the number of combinations will increase to hundreds of thousands.
Numbers including -plex, -duplex, -triplex, up to -deciplex, measure all of the combinations to millions.
For n-logue, assuming up to n-logue, (with any diagonalizations) there will be more... most likely up to billions.
Finally, grangol up to googondol, with their recursive counterpart like -dex, -threx, up to -decex, will amount to 10^20.
If we widen the scope, like including more bases, after googondol, etc., will have more than a googol numbers as a result!
Let's coin some examples of it...
Oops... it looks like googol-n-plexiding and googol-n-plexibell do not list there... So, let's do it, in order of -plex.
googolplexiding = E500#2 = 10^10^500
googolplexibell = E5000#2 = 10^10^5000
(3606) googolplexiring = E50,000#2 = 10^10^50,000
(3607) googolplexiclang = E500,000#2 = 10^10^500,000
...
googolduplexiding = E500#3 = 10^10^10^500
googolduplexibell = E5000#3 = 10^10^10^5000
(3608) googolduplexiring = E50,000#3 = 10^10^10^50,000
(3609) googolduplexiclang = E500,000#3 = 10^10^10^500,000
...
googoltriplexiding = E500#4 = 10^10^10^10^500
googoltriplexibell = E5000#4 = 10^10^10^10^5000
(3610) googoltriplexiring = E50,000#4 = 10^10^10^10^50,000
(3611) googoltriplexiclang = E500,000#4 = 10^10^10^10^500,000
...
googolquadriplexiding = E500#5 = 10^10^10^10^10^500
googolquadriplexibell = E5000#5 = 10^10^10^10^10^5000
(3612) googolquadriplexiring = E50,000#5 = 10^10^10^10^10^50,000
(3613) googolquadriplexiclang = E500,000#5 = 10^10^10^10^10^500,000
...
googolquintiplexiding = E500#6 = 10^10^10^10^10^10^500
googolquintiplexibell = E5000#6 = 10^10^10^10^10^10^5000
(3614) googolquintiplexiring = E50,000#6 = 10^10^10^10^10^10^50,000
(3615) googolquintiplexiclang = E500,000#6 = 10^10^10^10^10^10^500,000
...
(3616) googolsextiplexiring = E50,000#7
(3617) googolseptiplexiring = E50,000#8
(3618) googoloctiplexiring = E50,000#9
(3619) googolnoniplexiring = E50,000#10
...
(3620) googolsextiplexiclang = E500,000#7
(3621) googolseptiplexiclang = E500,000#8
(3622) googoloctiplexiclang = E500,000#9
(3623) googolnoniplexiclang = E500,000#10
...
googoldeciplexiding = E500#11
googoldeciplexibell = E5000#11
(3624) googoldeciplexiring = E50,000#11
(3625) googoldeciplexiclang = E500,000#11
...
googolvigintiplexiding = E500#21
googolvigintiplexibell = E5000#21
(3626) googolvigintiplexiring = E50,000#21
(3627) googolvigintiplexiclang = E500,000#21
...
googolcentiplexiding = E500#101
googolcentiplexibell = E5000#101
(3628) googolcentiplexiring = E50,000#101
(3629) googolcentiplexiclang = E500,000#101
...
googolmilliplexiding = E500#1001
googolmilliplexibell = E5000#1001
(3630) googolmilliplexiring = E50,000#1001
(3631) googolmilliplexiclang = E500,000#1001
...
googolmilli-milliplexiding or (3632) googolmegaplexiding = E500#1,000,001
googolmilli-milliplexibell or (3633) googolmegaplexibell = E5000#1,000,001
(3634) googolmilli-milliplexiring or (3635) googolmegaplexiring = E50,000#1,000,001
(3636) googolmilli-milliplexiclang or (3637) googolmegaplexiclang = E500,000#1,000,001
...
etc.
How about some long names... like:
(3638) plex-six-googol or (3639) googolplexidexithrexitetrexipentexihex = E100#2#2#2#2#2#2
(3640) plex-seven-googol or (3641) googolplexidexithrexitetrexipentexihexiheptex = E100#2#2#2#2#2#2#2
(3642) plex-eight-googol or (3643) googolplexidexithrexitetrexipentexihexiheptexioctex = E100#2#2#2#2#2#2#2#2
(3644) plex-nine-googol or (3645) googolplexidexithrexitetrexipentexihexiheptexioctexiennex = E100#2#2#2#2#2#2#2#2#2
(3646) plex-ten-googol or (3647) googolplexidexithrexitetrexipentexihexiheptexioctexiennexidecex = E100#2#2#2#2#2#2#2#2#2#2
...
(3648) duplex-six-googol or (3649) googolduplexidudexiduthrexidutetrexidupentexiduhex = E100#3#3#3#3#3#3
(3650) duplex-seven-googol or (3651) googolduplexidudexiduthrexidutetrexidupentexiduhexiduheptex = E100#3#3#3#3#3#3#3
(3652) duplex-eight-googol or (3653) googolduplexidudexiduthrexidutetrexidupentexiduhexiduheptexiduoctex = E100#3#3#3#3#3#3#3#3
(3654) duplex-nine-googol or (3655) googolduplexidudexiduthrexidutetrexidupentexiduhexiduheptexiduoctexiduennex = E100#3#3#3#3#3#3#3#3#3
(3656) duplex-ten-googol or (3657) googolduplexidudexiduthrexidutetrexidupentexiduhexiduheptexiduoctexiduennexidudecex = E100#3#3#3#3#3#3#3#3#3#3
...
or.. try in increasing order:
(3658) ascending-ex-three-googol or (3659) googoldexiduthrex = E100#1#2#3
(3660) ascending-ex-four-googol or (3661) googoldexiduthrexitritetrex = E100#1#2#3#4
(3662) ascending-ex-five-googol or (3663) googoldexiduthrexitritetrexiquadripentex = E100#1#2#3#4#5
(3664) ascending-ex-six-googol or (3665) googoldexiduthrexitritetrexiquadripentexiquintihex = E100#1#2#3#4#5#6
(3666) ascending-ex-seven-googol or (3667) googoldexiduthrexitritetrexiquadripentexiquintihexisextiheptex = E100#1#2#3#4#5#6#7
(3668) ascending-ex-eight-googol or (3669) googoldexiduthrexitritetrexiquadripentexiquintihexisextiheptexiseptioctex = E100#1#2#3#4#5#6#7#8
(3670) ascending-ex-nine-googol or (3671) googoldexiduthrexitritetrexiquadripentexiquintihexisextiheptexiseptioctexioctiennex = E100#1#2#3#4#5#6#7#8#9
(3672) ascending-ex-ten-googol or (3673) googoldexiduthrexitritetrexiquadripentexiquintihexisextiheptexiseptioctexioctiennexinonidecex = E100#1#2#3#4#5#6#7#8#9#10
Wow... I guess, that's how long the name is without a space, actually. Anyway, let's finish it with:
(3674) semi mulling intensive Hyper-E = E[123]4#5#6#7#8#9
(3675) mulling intensive Hyper-E = E[123]4#5#6#7#8#9#11#22
Light's out now, time to head into the next regiment with more powerful notations now!