Extended Hyper-E numbers (ExE part 5)
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In this regiment, we will focus on regiments that are Extended Hyper-E based. If you thought that the previous numbers were big, watch out for the subsequent numbers now. Anyway, let's start our journey.
Gugold regiment
(3676-4064)
Imagine, if you will think that, some of the big numbers out there, Let us define that:
Stage 1: googol (E100)
Stage 2: grangol (E100#100)
Stage 3: greagol (E100#100#100)
Stage 4: gigangol (E100#100#100#100)
Stage 5: gorgegol (E100#100#100#100#100)
... 95 stages omitted
Stage 100: googonhectol (E100#100#100...100#100#100)
Obviously googonhectol, when adding recursion, gives us a small number, plus, it will not be interesting. So, we will coin a new term then. Enter "gugold", which means golden googol, and formerly known as goolda. As a result...
**gugold = E100##100
When expanding... it becomes:
E100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100#
100#100#100#100#100#100#100#100#100#100
This number can also be called gugond (a corruption of gugold and second)
To further spread out the E100#100#100...100#100 with THAT NUMBER (gugold) amount of times... we have a new suffix, namely -suplex! Because of that...
gugolda-suplex = E100##100#2 (also called gugonda-suplex, great googonhectol)
gugolda-dusuplex = E100##100#3 (also called gugonda-dusuplex, great great googonhectol)
Turns out that "great" here is equal to "-suplex" in this case, although this may not be true, obviously. Continuing with...
gugolda-trisuplex = E100##100#4
gugolda-quadrisuplex = E100##100#5
gugolda-quintisuplex = E100##100#6
gugolda-sextisuplex = E100##100#7
gugolda-septisuplex = E100##100#8
gugolda-octisuplex = E100##100#9
gugolda-nonisuplex = E100##100#10
gugolda-decisuplex = E100##100#11
...
gugolda-vigintisuplex = E100##100#21
gugolda-quinquagintisuplex = E100##100#51
gugolda-centisuplex = E100##100#101
gugolda-millisuplex = E100##100#1001
gugolda-milli-millisuplex or (3676) gugolda-megasuplex = E100##100#1,000,001
(3677) gugolda-gigasuplex = E100##100#1,000,000,001
(3678) gugolda-terasuplex = E100##100#(10^12+1)
(3679) gugolda-petasuplex = E100##100#(10^15+1)
(3680) gugolda-exasuplex = E100##100#(10^18+1)
(3681) gugolda-zettasuplex = E100##100#(10^21+1)
(3682) gugolda-yottasuplex = E100##100#(10^24+1)
(3683) gugolda-ronnasuplex = E100##100#(10^27+1)
(3684) gugolda-quettasuplex = E100##100#(10^30+1)
...
(3685) gugolda-googolisuplex = E100##100#(10^100+1)
(3686) gugolda-grangolisuplex = E100##100#(E100#100+1)
(3687) gugolda-greagolisuplex = E100##100#(E100#100#100+1)
(3688) gugolda-gigangolisuplex = E100##100#(E100#100#100#100+1)
(3689) gugolda-gorgegolisuplex = E100##100#(E100##5+1)
(3690) gugolda-gulgolisuplex = E100##100#(E100##6+1)
(3691) gugolda-gaspgolisuplex = E100##100#(E100##7+1)
(3692) gugolda-ginorgolisuplex = E100##100#(E100##8+1)
(3693) gugolda-gargantuulisuplex = E100##100#(E100##9+1)
(3694) gugolda-googondolisuplex = E100##100#(E100##10+1)
(3695) gugolda-googonkosolisuplex = E100##100#(E100##20+1)
...
(3696) gugolda-googonhectolisuplex or (3697) gugolda-gugoldisuplex = E100##100#(E100##100+1)
etc.
Let's apply some base modifiers here, and let's see what will happen then.
gugoldading = E500##500
gugolda-suplexiding = E500##500#2
gugolda-dusuplexiding = E500##500#3
(3698) gugolda-trisuplexiding = E500##500#4
(3699) gugolda-quadrisuplexiding = E500##500#5
(3700) gugolda-quintisuplexiding = E500##500#6
...
gugoldachime = E1000##1000
gugolda-suplexichime = E1000##1000#2
gugolda-dusuplexichime = E1000##1000#3
gugolda-trisuplexichime = E1000##1000#4
gugolda-quadrisuplexichime = E1000##1000#5
gugolda-quintisuplexichime = E1000##1000#6
(3701) gugolda-decisuplexichime = E1000##1000#11
...
gugoldabell = E5000##5000
gugolda-suplexibell = E5000##5000#2
gugolda-dusuplexibell = E5000##5000#3
(3702) gugolda-trisuplexibell = E5000##5000#4
(3703) gugolda-quadrisuplexibell = E5000##5000#5
(3704) gugolda-quintisuplexibell = E5000##5000#6
...
gugoldatoll = E10,000##10,000
gugolda-suplexitoll = E10,000##10,000#2
gugolda-dusuplexitoll = E10,000##10,000#3
gugolda-trisuplexitoll = E10,000##10,000#4
gugolda-quadrisuplexitoll = E10,000##10,000#5
gugolda-quintisuplexitoll = E10,000##10,000#6
(3705) gugolda-decisuplexitoll = E10,000##10,000#11
...
(3706) gugoldaring = E50,000##50,000
(3707) gugolda-suplexiring = E50,000##50,000#2
(3708) gugolda-dusuplexiring = E50,000##50,000#3
(3709) gugolda-trisuplexiring = E50,000##50,000#4
(3710) gugolda-quadrisuplexiring = E50,000##50,000#5
(3711) gugolda-quintisuplexiring = E50,000##50,000#6
...
*gugoldagong = E100,000##100,000
= E100,000#100,000#100,000# ... ... ... ... ... ... #100,000#100,000#100,000 (w/ 100,000 100,000's)
gugolda-suplexigong = E100,000##100,000#2
gugolda-dusuplexigong = E100,000##100,000#3
gugolda-trisuplexigong = E100,000##100,000#4
gugolda-quadrisuplexigong = E100,000##100,000#5
gugolda-quintisuplexigong = E100,000##100,000#6
gugolda-sextisuplexigong = E100,000##100,000#7
gugolda-septisuplexigong = E100,000##100,000#8
gugolda-octisuplexigong = E100,000##100,000#9
gugolda-nonisuplexigong = E100,000##100,000#10
gugolda-decisuplexigong = E100,000##100,000#11
...
gugolda-vigintisuplexigong = E100,000##100,000#21
(3712) gugolda-quinquagintisuplexigong = E100,000##100,000#51
gugolda-centisuplexigong = E100,000##100,000#101
gugolda-millisuplexigong = E100,000##100,000#1001
gugolda-milli-millisuplexigong or (3713) gugolda-megasuplexigong = E100,000##100,000#1,000,001
(3714) gugolda-gigasuplexigong = E100,000##100,000#1,000,000,001
(3715) gugolda-terasuplexigong = E100,000##100,000#(10^12+1)
...
(3716) gugolda-googolgongi-suplexigong = E100,000##100,000#(10^100,000+1)
(3717) gugolda-googolplexigongi-suplexigong = E100,000##100,000#(10^10^100,000+1)
(3718) gugolda-grangolgongi-suplexigong = E100,000##100,000#(E100,000#100,000+1)
(3719) gugolda-greagolgongi-suplexigong = E100,000##100,000#(E100,000#100,000#100,000+1)
(3720) gugolda-gigangolgongi-suplexigong = E100,000##100,000#(E100,000#100,000#100,000#100,000+1)
(3721) gugolda-gorgegolgongi-suplexigong = E100,000##100,000#(E100,000##5+1)
(3722) gugolda-googondolgongi-suplexigong = E100,000##100,000#(E100,000##10+1)
...
(3723) gugolda-gugoldagongi-suplexigong = E100,000##100,000#(E100,000##100,000+1)
...
(3724) gugoldaclang = E500,000##500,000
(3725) gugolda-suplexiclang = E500,000##500,000#2
(3726) gugolda-dusuplexiclang = E500,000##500,000#3
(3727) gugolda-trisuplexiclang = E500,000##500,000#4
(3728) gugolda-quadrisuplexiclang = E500,000##500,000#5
(3729) gugolda-quintisuplexiclang = E500,000##500,000#6
...
gugoldabong = E100,000,000##100,000,000
gugolda-suplexibong = E100,000,000##100,000,000#2
gugolda-dusuplexibong = E100,000,000##100,000,000#3
(3730) gugolda-trisuplexibong = E100,000,000##100,000,000#4
...
gugoldathrong = E100,000,000,000##100,000,000,000
gugolda-suplexithrong = E100,000,000,000##100,000,000,000#2
gugolda-dusuplexithrong = E100,000,000,000##100,000,000,000#3
(3731) gugolda-trisuplexithrong = E100,000,000,000##100,000,000,000#4
...
gugoldagandingan = E100,000,000,000,000##100,000,000,000,000
gugolda-suplexigandingan = E100,000,000,000,000##100,000,000,000,000#2
gugolda-dusuplexigandingan = E100,000,000,000,000##100,000,000,000,000#3
(3732) gugolda-trisuplexigandingan = E100,000,000,000,000##100,000,000,000,000#4
...
etc.
Now, time for some in-between numbers now...
*googolsuplex = E100##1#2 (also called great googol)
grangolsuplex = E100##2#2 (also called great grangol)
greagolsuplex = E100##3#2 (also called great greagol)
gigangolsuplex = E100##4#2 (also called great gigangol)
gorgegolsuplex = E100##5#2 (also called great gorgegol)
gulgolsuplex = E100##6#2 (also called great gulgol)
gaspgolsuplex = E100##7#2 (also called great gaspgol)
ginorgolsuplex = E100##8#2 (also called great ginorgol)
gargantuulsuplex = E100##9#2 (also called great gargantuul)
googondolsuplex = E100##10#2 (also called great googondol)
(3733) googoadolsuplex = E100##11#2 (also called great googoadol)
(3734) goograndolsuplex = E100##12#2 (also called great googoadol)
googonkosolsuplex = E100##20#2
(3735) googonpetolsuplex = E100##50#2
googonhectolsuplex = E100##100#2 (also called great googonhectol and gugolda-suplex)
googonchilolsuplex = E100##1000#2 (also called great googonchilol)
googonmyriolsuplex = E100##10,000#2 (also called great googonmyriol)
(3736) googonmegolsuplex = E100##1,000,000#2
etc.
How about some "grand" operators? Saibian used it only past throogol, but let's coin it here starting with this regiment. (I will also coin another alternative names for the numbers)
grand gugold or (3737) grand gugond = E100##100#2
grand grand gugold or (3738) grand grand gugond = E100##100#3
grand grand grand gugold or (3739) grand grand grand gugond = E100##100#4
(also called three-ex-grand gugold or (3740) three-ex-grand gugond)
four-ex-grand gugold or (3741) four-ex-grand gugond = E100##100#5
five-ex-grand gugold or (3742) five-ex-grand gugond = E100##100#6
six-ex-grand gugold or (3743) six-ex-grand gugond = E100##100#7
seven-ex-grand gugold or (3744) seven-ex-grand gugond = E100##100#8
eight-ex-grand gugold or (3745) eight-ex-grand gugond = E100##100#9
nine-ex-grand gugold or (3746) nine-ex-grand gugond = E100##100#10
ten-ex-grand gugold or (3747) ten-ex-grand gugond = E100##100#11
...
hundred-ex-grand gugold or (3748) hundred-ex-grand gugond = E100##100#101
thousand-ex-grand gugold or (3749) thousand-ex-grand gugond = E100##100#1001
million-ex-grand gugold or (3750) million-ex-grand gugond = E100##100#1,000,001
billion-ex-grand gugold or (3751) billion-ex-grand gugond = E100##100#1,000,000,001
...
(3752) googol-ex-grand gugold = E100##100#(10^100+1)
centillion-ex-grand gugold = E100##100#(10^303+1)
(3753) grangol-ex-grand gugold = E100##100#(E100#100+1)
(3754) greagol-ex-grand gugold = E100##100#(E100#100#100+1)
(3755) gigangol-ex-grand gugold = E100##100#(E100#100#100#100+1)
(3756) gorgegol-ex-grand gugold = E100##100#(E100#100#100#100#100+1)
(3757) gulgol-ex-grand gugold = E100##100#(E100##6+1)
(3758) gaspgol-ex-grand gugold = E100##100#(E100##7+1)
(3759) ginorgol-ex-grand gugold = E100##100#(E100##8+1)
(3760) gargantuul-ex-grand gugold = E100##100#(E100##9+1)
(3761) googondol-ex-grand gugold = E100##100#(E100##10+1)
And finally...
(3762) gugold-ex-grand gugold = E100##100#(E100##100+1)
(3763) grand gugold-ex-grand gugold = E100##100#(E100##100#2+1)
...
Back to intermediate numbers: -dusuplex.
googoldusuplex = E100##1#3 = E100##(E100##1#2) = E100##googolsuplex
grangoldusuplex = E100##2#3
greagoldusuplex = E100##3#3
gigangoldusuplex = E100##4#3
gorgegoldusuplex = E100##5#3
gulgoldusuplex = E100##6#3
gaspgoldusuplex = E100##7#3
ginorgoldusuplex = E100##8#3
gargantuuldusuplex = E100##9#3
googondoldusuplex = E100##10#3
(3764) googonkosoldusuplex = E100##20#3
(3765) googonpetoldusuplex = E100##50#3
googonhectoldusuplex = E100##100#3
(3766) googonchiloldusuplex = E100##1000#3
etc.
-trisuplex numbers:
googoltrisuplex = E100##1#4
grangoltrisuplex = E100##2#4
greagoltrisuplex = E100##3#4
gigangoltrisuplex = E100##4#4
gorgegoltrisuplex = E100##5#4
gulgoltrisuplex = E100##6#4
gaspgoltrisuplex = E100##7#4
ginorgoltrisuplex = E100##8#4
gargantuultrisuplex = E100##9#4
googondoltrisuplex = E100##10#4
(3768) googonkosoltrisuplex = E100##20#4
(3769) googonpetoltrisuplex = E100##50#4
(3770) googonhectoltrisuplex = E100##100#4
(3771) googonchiloltrisuplex = E100##1000#4
...
with -quadrisuplex...
googolquadrisuplex = E100##1#5
grangolquadrisuplex = E100##2#5
greagolquadrisuplex = E100##3#5
gigangolquadrisuplex = E100##4#5
(3772) gorgegolquadrisuplex = E100##5#5
(3773) gulgolquadrisuplex = E100##6#5
(3774) gaspgolquadrisuplex = E100##7#5
(3775) ginorgolquadrisuplex = E100##8#5
(3776) gargantuulquadrisuplex = E100##9#5
(3777) googondolquadrisuplex = E100##10#5
(3778) googonkosolquadrisuplex = E100##20#5
(3779) googonpetolquadrisuplex = E100##50#5
(3780) googonhectolquadrisuplex = E100##100#5
(3781) googonchilolquadrisuplex = E100##1000#5
...
with -quintisuplex...
googolquintisuplex = E100##1#6
grangolquintisuplex = E100##2#6
greagolquintisuplex = E100##3#6
gigangolquintisuplex = E100##4#6
(3782) gorgegolquintisuplex = E100##5#6
(3783) gulgolquintisuplex = E100##6#6
(3784) gaspgolquintisuplex = E100##7#6
(3785) ginorgolquintisuplex = E100##8#6
(3786) gargantuulquintisuplex = E100##9#6
(3787) googondolquintisuplex = E100##10#6
(3788) googonkosolquintisuplex = E100##20#6
(3789) googonpetolquintisuplex = E100##50#6
(3790) googonhectolquintisuplex = E100##100#6
(3791) googonchilolquintisuplex = E100##1000#6
...
and finally, the higher n-suplexes...
googolsextisuplex = E100##1#7
(3792) googondolsextisuplex = E100##10#7
(3793) googonhectolsextisuplex = E100##100#7
(3794) googonchilolsextisuplex = E100##1000#7
...
googolseptisuplex = E100##1#8
(3795) googondolseptisuplex = E100##10#8
(3796) googonhectolseptisuplex = E100##100#8
(3797) googonchilolseptisuplex = E100##1000#8
...
googoloctisuplex = E100##1#9
(3798) googondoloctisuplex = E100##10#9
(3799) googonhectoloctisuplex = E100##100#9
(3800) googonchiloloctisuplex = E100##1000#9
...
googolnonisuplex = E100##1#10
(3801) googondolnonisuplex = E100##10#10
(3802) googonhectolnonisuplex = E100##100#10
(3803) googonchilolnonisuplex = E100##1000#10
...
googoldecisuplex = E100##1#11
(3804) googondoldecisuplex = E100##10#11
(3805) googonhectoldecisuplex = E100##100#11
(3806) googonchiloldecisuplex = E100##1000#11
...
Let's apply the suffixes to base modifiers (adding great in the process)...
(3807) googolsuplexichime or (3808) great googolchime = E1000##1#2
(3809) grangolsuplexichime or (3810) great grangolchime = E1000##2#2
(3811) greagolsuplexichime or (3812) great greagolchime = E1000##3#2
(3813) gigangolsuplexichime or (3814) great gigangolchime = E1000##4#2
(3815) gorgegolsuplexichime or (3816) great gorgegolchime = E1000##5#2
...
(3817) googondolsuplexichime or (3818) great googondolchime = E1000##10#2
(3819) googonhectolsuplexichime or (3820) great googonhectolchime = E1000##100#2
(3821) googonchilolsuplexichime or (3822) great googonchilolchime = E1000##1000#2
etc.
(3823) googolsuplexitoll or (3824) great googoltoll = E10,000##1#2
(3825) grangolsuplexitoll or (3826) great grangoltoll = E10,000##2#2
(3827) greagolsuplexitoll or (3828) great greagoltoll = E10,000##3#2
(3829) gigangolsuplexitoll or (3830) great gigangoltoll = E10,000##4#2
(3831) gorgegolsuplexitoll or (3832) great gorgegoltoll = E10,000##5#2
...
(3833) googondolsuplexitoll or (3834) great googondoltoll = E10,000##10#2
(3835) googonhectolsuplexitoll or (3836) great googonhectoltoll = E10,000##100#2
(3837) googonchilolsuplexitoll or (3838) great googonchiloltoll = E10,000##1000#2
(3839) googonmyriolsuplexitoll or (3840) great googonmyrioltoll = E10,000##10,000#2
etc.
(3841) googolsuplexigong or (3842) great googolgong = E100,000##1#2
(3843) grangolsuplexigong or (3844) great grangolgong = E100,000##2#2
(3845) greagolsuplexigong or (3846) great greagolgong = E100,000##3#2
(3847) gigangolsuplexigong or (3848) great gigangolgong = E100,000##4#2
(3849) gorgegolsuplexigong or (3850) great gorgegolgong = E100,000##5#2
(3851) gulgolsuplexigong or (3852) great gulgolgong = E100,000##6#2
(3853) gaspgolsuplexigong or (3854) great gaspgolgong = E100,000##7#2
(3855) ginorgolsuplexigong or (3856) great ginorgolgong = E100,000##8#2
(3857) gargantuulsuplexigong or (3858) great gargantuulgong = E100,000##9#2
(3859) googondolsuplexigong or (3860) great googondolgong = E100,000##10#2
...
(3861) googonhectolsuplexigong or (3862) great googonhectolgong = E100,000##100#2
(3863) googonchilolsuplexigong or (3864) great googonchilolgong = E100,000##1000#2
(3865) googonmyriolsuplexigong or (3866) great googonmyriolgong = E100,000##10,000#2
(3867) googonhectomyriolsuplexigong or (3868) great googonhectomyriolgong = E100,000##100,000#2
etc.
Next one, the -dusuplex..
(3869) googoldusuplexichime or (3870) great great googolchime = E1000##1#3
(3871) grangoldusuplexichime or (3872) great great grangolchime = E1000##2#3
(3873) greagoldusuplexichime or (3874) great great greagolchime = E1000##3#3
(3875) gigangoldusuplexichime or (3876) great great gigangolchime = E1000##4#3
(3877) gorgegoldusuplexichime or (3878) great great gorgegolchime = E1000##5#3
...
(3879) googondoldusuplexichime or (3880) great great googondolchime = E1000##10#3
(3881) googonhectoldusuplexichime or (3882) great great googonhectolchime = E1000##100#3
(3883) googonchiloldusuplexichime or (3884) great great googonchilolchime = E1000##1000#3
etc.
(3885) googoldusuplexitoll or (3886) great great googoltoll = E10,000##1#3
(3887) grangoldusuplexitoll or (3888) great great grangoltoll = E10,000##2#3
(3889) greagoldusuplexitoll or (3890) great great greagoltoll = E10,000##3#3
(3891) gigangoldusuplexitoll or (3892) great great gigangoltoll = E10,000##4#3
(3893) gorgegoldusuplexitoll or (3894) great great gorgegoltoll = E10,000##5#3
...
(3895) googondoldusuplexitoll or (3896) great great googondoltoll = E10,000##10#3
(3897) googonhectoldusuplexitoll or (3898) great great googonhectoltoll = E10,000##100#3
(3899) googonchiloldusuplexitoll or (3900) great great googonchiloltoll = E10,000##1000#3
(3901) googonmyrioldusuplexitoll or (3902) great great googonmyrioltoll = E10,000##10,000#3
etc.
(3903) googoldusuplexigong or (3904) great great googolgong = E100,000##1#3
(3905) grangoldusuplexigong or (3906) great great grangolgong = E100,000##2#3
(3907) greagoldusuplexigong or (3908) great great greagolgong = E100,000##3#3
(3909) gigangoldusuplexigong or (3910) great great gigangolgong = E100,000##4#3
(3911) gorgegoldusuplexigong or (3912) great great gorgegolgong = E100,000##5#3
(3913) gulgoldusuplexigong or (3914) great great gulgolgong = E100,000##6#3
(3915) gaspgoldusuplexigong or (3916) great great gaspgolgong = E100,000##7#3
(3917) ginorgoldusuplexigong or (3918) great great ginorgolgong = E100,000##8#3
(3919) gargantuuldusuplexigong or (3920) great great gargantuulgong = E100,000##9#3
(3921) googondoldusuplexigong or (3922) great great googondolgong = E100,000##10#3
...
(3923) googonhectoldusuplexigong or (3924) great great googonhectolgong = E100,000##100#3
(3925) googonchiloldusuplexigong or (3926) great great googonchilolgong = E100,000##1000#3
(3927) googonmyrioldusuplexigong or (3928) great great googonmyriolgong = E100,000##10,000#3
(3929) googonhectomyrioldusuplexigong or (3930) great great googonhectomyriolgong = E100,000##100,000#3
etc.
Next one, the -trisuplex..
(3931) googoltrisuplexichime or (3932) great great great googolchime = E1000##1#4
(3933) grangoltrisuplexichime or (3934) great great great grangolchime = E1000##2#4
(3935) greagoltrisuplexichime or (3936) great great great greagolchime = E1000##3#4
(3937) gigangoltrisuplexichime or (3938) great great great gigangolchime = E1000##4#4
(3939) gorgegoltrisuplexichime or (3940) great great great gorgegolchime = E1000##5#4
...
(3941) googondoltrisuplexichime or (3942) great great great googondolchime = E1000##10#4
(3943) googonhectoltrisuplexichime or (3944) great great great googonhectolchime = E1000##100#4
(3945) googonchiloltrisuplexichime or (3946) great great great googonchilolchime = E1000##1000#4
etc.
(3947) googoltrisuplexitoll or (3948) great great great googoltoll = E10,000##1#4
(3949) grangoltrisuplexitoll or (3950) great great great grangoltoll = E10,000##2#4
(3951) greagoltrisuplexitoll or (3952) great great great greagoltoll = E10,000##3#4
(3953) gigangoltrisuplexitoll or (3954) great great great gigangoltoll = E10,000##4#4
(3955) gorgegoltrisuplexitoll or (3956) great great great gorgegoltoll = E10,000##5#4
...
(3957) googondoltrisuplexitoll or (3958) great great great googondoltoll = E10,000##10#4
(3959) googonhectoltrisuplexitoll or (3960) great great great googonhectoltoll = E10,000##100#4
(3961) googonchiloltrisuplexitoll or (3962) great great great googonchiloltoll = E10,000##1000#4
(3963) googonmyrioltrisuplexitoll or (3964) great great great googonmyrioltoll = E10,000##10,000#4
etc.
(3965) googoltrisuplexigong or (3966) great great great googolgong = E100,000##1#4
(3967) grangoltrisuplexigong or (3968) great great great grangolgong = E100,000##2#4
(3969) greagoltrisuplexigong or (3970) great great great greagolgong = E100,000##3#4
(3971) gigangoltrisuplexigong or (3972) great great great gigangolgong = E100,000##4#4
(3973) gorgegoltrisuplexigong or (3974) great great great gorgegolgong = E100,000##5#4
(3975) gulgoltrisuplexigong or (3976) great great great gulgolgong = E100,000##6#4
(3977) gaspgoltrisuplexigong or (3978) great great great gaspgolgong = E100,000##7#4
(3979) ginorgoltrisuplexigong or (3980) great great great ginorgolgong = E100,000##8#4
(3981) gargantuultrisuplexigong or (3982) great great great gargantuulgong = E100,000##9#4
(3983) googondoltrisuplexigong or (3984) great great great googondolgong = E100,000##10#4
...
(3985) googonhectoltrisuplexigong or (3986) great great great googonhectolgong = E100,000##100#4
(3987) googonchiloltrisuplexigong or (3988) great great great googonchilolgong = E100,000##1000#4
(3989) googonmyrioltrisuplexigong or (3990) great great great googonmyriolgong = E100,000##10,000#4
(3991) googonhectomyrioltrisuplexigong or (3992) great great great googonhectomyriolgong = E100,000##100,000#4
etc.
Let's speed it up...
(3993) googolquadrisuplexichime = E1000##1#5
(3994) googondolquadrisuplexichime = E1000##10#5
(3995) googonhectolquadrisuplexichime = E1000##100#5
(3996) googonchilolquadrisuplexichime = E1000##1000#5
...
(3997) googolquadrisuplexitoll = E10,000##1#5
(3998) googondolquadrisuplexitoll = E10,000##10#5
(3999) googonhectolquadrisuplexitoll = E10,000##100#5
(4000) googonchilolquadrisuplexitoll = E10,000##1000#5
(4001) googonmyriolquadrisuplexitoll = E10,000##10,000#5
...
(4002) googolquadrisuplexigong = E100,000##1#5
(4003) googondolquadrisuplexigong = E100,000##10#5
(4004) googonhectolquadrisuplexigong = E100,000##100#5
(4005) googonchilolquadrisuplexigong = E100,000##1000#5
(4006) googonmyriolquadrisuplexigong = E100,000##10,000#5
(4007) googonhectochilolquadrisuplexigong = E100,000##100,000#5
...
(4008) googolquintisuplexichime = E1000##1#6
(4009) googolquintisuplexitoll = E10,000##1#6
(4010) googolquintisuplexigong = E100,000##1#6
...
and so on.
How about some grand version with base modifiers?
(4011) grand gugoldachime = E1000##1000#2
(4012) grand grand gugoldachime = E1000##1000#3
(4013) grand grand grand gugoldachime = E1000##1000#4
(also called (4014) three-ex-grand gugoldachime)
(4015) four-ex-grand gugoldachime = E1000##1000#5
(4016) five-ex-grand gugoldachime = E1000##1000#6
...
(4017) ten-ex-grand gugoldachime = E1000##1000#11
(4018) hundred-ex-grand gugoldachime = E1000##1000#101
(4019) thousand-ex-grand gugoldachime = E1000##1000#1001
(4020) googolchime-ex-grand gugoldachime = E1000##1000#(E1000+1)
(4021) grangolchime-ex-grand gugoldachime = E1000##1000#(E1000#1000+1)
(4022) gugoldachime-ex-grand gugoldachime = E1000##1000#(E1000##1000+1)
etc.
(4023) grand gugoldatoll = E10,000##10,000#2
(4024) grand grand gugoldatoll = E10,000##10,000#3
(4025) grand grand grand gugoldatoll = E10,000##10,000#4
(also called (4026) three-ex-grand gugoldatoll)
(4027) four-ex-grand gugoldatoll = E10,000##10,000#5
(4028) five-ex-grand gugoldatoll = E10,000##10,000#6
...
(4029) ten-ex-grand gugoldatoll = E10,000##10,000#11
(4030) hundred-ex-grand gugoldatoll = E10,000##10,000#101
(4031) thousand-ex-grand gugoldatoll = E10,000##10,000#1001
(4032) googoltoll-ex-grand gugoldatoll = E10,000##10,000#(E10,000+1)
(4033) grangoltoll-ex-grand gugoldatoll = E10,000##10,000#(E10,000#10,000+1)
(4034) gugoldatoll-ex-grand gugoldatoll = E10,000##10,000#(E10,000##10,000+1)
etc.
(4035) grand gugoldagong = E100,000##100,000#2
(4036) grand grand gugoldagong = E100,000##100,000#3
(4037) grand grand grand gugoldagong = E100,000##100,000#4
(also called (4038) three-ex-grand gugoldagong)
(4039) four-ex-grand gugoldagong = E100,000##100,000#5
(4040) five-ex-grand gugoldagong = E100,000##100,000#6
...
(4041) ten-ex-grand gugoldagong = E100,000##100,000#11
(4042) hundred-ex-grand gugoldagong = E100,000##100,000#101
(4043) thousand-ex-grand gugoldagong = E100,000##100,000#1001
(4044) googolgong-ex-grand gugoldagong = E100,000##100,000#(E100,000+1)
(4045) grangolgong-ex-grand gugoldagong = E100,000##100,000#(E100,000#100,000+1)
(4046) gugoldagong-ex-grand gugoldagong = E100,000##100,000#(E100,000##100,000+1)
etc.
And so on...
Let's dive deep into the eceton series of numbers:
eceto-gugold = E303##303
...
ecetonsuplex = E303##1#2 = E303##E303 = E303##centillion = E303#303#303...303#303 (centillion 303's)
ecetondusuplex = E303##1#3
ecetontrisuplex = E303##1#4
ecetonquadrisuplex = E303##1#5
ecetonquintisuplex = E303##1#6
...
(4047) ecetondecisuplex = E303##1#11
...
eceto-grangolsuplex = E303##2#2
eceto-greagolsuplex = E303##3#2
eceto-gigangolsuplex = E303##4#2
eceto-gorgegolsuplex = E303##5#2
eceto-gulgolsuplex = E303##6#2
eceto-gaspgolsuplex = E303##7#2
eceto-ginorgolsuplex = E303##8#2
eceto-gargantuulsuplex = E303##9#2
eceto-googondolsuplex = E303##10#2
(4048) eceto-googonkosolsuplex = E303##20#2
(4049) eceto-googonpetolsuplex = E303##50#2
...
eceto-grangoldusuplex = E303##2#3
eceto-greagoldusuplex = E303##3#3
eceto-gigangoldusuplex = E303##4#3
(4050) eceto-gorgegoldusuplex = E303##5#3
...
eceto-gugolda-suplex = E303##303#2
eceto-gugolda-dusuplex = E303##303#3
eceto-gugolda-trisuplex = E303##303#4
...
(4051) eceto-gugolda-decisuplex = E303##303#11
etc.
Before moving on to the next regiment, I will coin some googol-n-suplex numbers closest to popular numbers like Moser, G(2), Little Graham, Graham's number, and so on.
For numbers close to Moser:
grangolsuplex = E100##2#2
Moser = 2 in a Mega-gon
eceto-grangolsuplex = E303##2#2
For numbers closer to Little Graham:
(4052) googondolsextisuplex = E100##10#7
(4053) googoadolsextisuplex = E100##11#7
Squeaker Graham = E[2]3##12#7
Little Graham = F^7(12), where F(n) = 2 ↑n 3
(4054) goograndolsextisuplex = E100##12#7
For numbers closer to Graham's number:
(4055) gugolda-dusexagintisuplex or (4056) sixty-two-ex-grand gugold = E100##100#63
(4057) gugoldagong-dusexagintisuplexigong or (4058) sixty-two-ex-grand gugoldagong = E100,000##100,000#63
(4059) googoltresexagintisuplex = E100##1#64
(4060) grangoltresexagintisuplex = E100##2#64
(4061) greagoltresexagintisuplex = E100##3#64
Graham's number = F^64(4), where F(n) = 3 ↑n 3
(4062) gigangoltresexagintisuplex = E100##4#64, approximately F^64(4), where F(n) = 100 ↑n 101
(4063) gugolda-tresexagintisuplex or (4064) sixty-three-ex-grand gugold = E100##100#64, approximately F^64(100), where F(n) = 100 ↑n 101
Blast off now to the next one!
Graatagold regiment
(4065-4315)
Next, getting the gratuitous of that number is amazing, right? Especially if it surpasses Graham's number for that reason. Anyway, here comes: graatagold, a gratuitous golden googol (previously known as graatada). Obviously, it is larger than Graham's number (G64), as we saw earlier! In fact, it is comparable to corporal, or G100.
*graatagold or graatagond = E100##100#100
or... E100##(E100##100#99)
Let's define a recursion to ensure that "E100##" is going to that number. Introducing -sudex...
graatagolda-sudex or (4065) graatagonda-sudex = E100##100#100#2
graatagolda-dusudex or (4066) graatagonda-dusudex = E100##100#100#3
graatagolda-trisudex or (4067) graatagonda-trisudex = E100##100#100#4
graatagolda-quadrisudex or (4068) graatagonda-quadrisudex = E100##100#100#5
graatagolda-quintisudex or (4069) graatagonda-quintisudex = E100##100#100#6
...
graatagolda-decisudex or (4070) graatagonda-decisudex = E100##100#100#11
graatagolda-vigintisudex or (4071) graatagonda-vigintisudex = E100##100#100#21
(4072) graatagolda-quinquagintisudex or (4073) graatagonda-quinquagintisudex = E100##100#100#51
graatagolda-centisudex or (4074) graatagonda-centisudex = E100##100#100#101
graatagolda-millisudex or (4075) graatagonda-millisudex = E100##100#100#1001
graatagolda-millimillisudex or (4076) graatagolda-megasudex = E100##100#100#1000001
(4077) graatagolda-gigasudex = E100##100#100#1,000,000,001
(4078) graatagolda-terasudex = E100##100#100#(10^12+1)
...
(4079) graatagolda-googolisudex = E100##100#100#(10^100+1)
(4080) graatagolda-grangolisudex = E100##100#100#(E100#100+1)
(4081) graatagolda-gugoldisudex = E100##100#100#(E100##100+1)
(4082) graatagolda-gugoldasuplexisudex = E100##100#100#(E100##100#2+1)
(4083) graatagolda-graatagoldisudex = E100##100#100#(E100##100#100+1)
...
Before moving further, there is a question to ask... why don't we simply reuse -suplex? The answer is simple: similar to previous Hyper-E suffixes, -suplex is too small to use...
graatagolda-suplex = E100##100#101
(4084) graatagolda-dusuplex = E100##100#102
...
Anyway... let's continue with the base modifiers. (Note that this time I will sort it using -chime, -bell, -gong first before other suffixes, for this regiment only)
graatagoldachime = E1000##1000#1000
graatagolda-sudexichime = E1000##1000#1000#2
graatagolda-dusudexichime = E1000##1000#1000#3
graatagolda-trisudexichime = E1000##1000#1000#4
graatagolda-quadrisudexichime = E1000##1000#1000#5
graatagolda-quintisudexichime = E1000##1000#1000#6
...
(4085) graatagolda-decisudexichime = E1000##1000#1000#11
(4086) graatagolda-centisudexichime = E1000##1000#1000#101
etc.
using -toll..
graatagoldatoll = E10,000##10,000#10,000
graatagolda-sudexitoll = E10,000##10,000#10,000#2
graatagolda-dusudexitoll = E10,000##10,000#10,000#3
graatagolda-trisudexitoll = E10,000##10,000#10,000#4
graatagolda-quadrisudexitoll = E10,000##10,000#10,000#5
graatagolda-quintisudexitoll = E10,000##10,000#10,000#6
...
(4087) graatagolda-decisudexitoll = E10,000##10,000#10,000#11
(4088) graatagolda-centisudexitoll = E10,000##10,000#10,000#101
etc.
With -gongs now... Note that Saibian only defined the names without defining numbers.
graatagoldagong = E100,000##100,000#100,000
graatagolda-sudexigong = E100,000##100,000#100,000#2
graatagolda-dusudexigong = E100,000##100,000#100,000#3
graatagolda-trisudexigong = E100,000##100,000#100,000#4
graatagolda-quadrisudexigong = E100,000##100,000#100,000#5
graatagolda-quintisudexigong = E100,000##100,000#100,000#6
graatagolda-sextisudexigong = E100,000##100,000#100,000#7
graatagolda-septisudexigong = E100,000##100,000#100,000#8
graatagolda-octisudexigong = E100,000##100,000#100,000#9
graatagolda-nonisudexigong = E100,000##100,000#100,000#10
graatagolda-decisudexigong = E100,000##100,000#100,000#11
...
(4089) graatagolda-centisudexigong = E100,000##100,000#100,000#101
(4090) graatagolda-millisudexigong = E100,000##100,000#100,000#1001
(4091) graatagolda-millimillisudexigong or (4092) graatagolda-megasudexigong = E100,000##100,000#100,000#1,000,001
etc.
Far from over, another base modifiers now...
graatagoldading = E500##500#500
graatagolda-sudexiding = E500##500#500#2
graatagolda-dusudexiding = E500##500#500#3
(4093) graatagolda-trisudexiding = E500##500#500#4
(4094) graatagolda-quadrisudexiding = E500##500#500#5
(4095) graatagolda-quintisudexiding = E500##500#500#6
...
graatagoldabell = E5000##5000#5000
graatagolda-sudexibell = E5000##5000#5000#2
graatagolda-dusudexibell = E5000##5000#5000#3
(4096) graatagolda-trisudexibell = E5000##5000#5000#4
(4097) graatagolda-quadrisudexibell = E5000##5000#5000#5
(4098) graatagolda-quintisudexibell = E5000##5000#5000#6
...
Wow... 2^12 googolisms now! That's only a couple of percent towards completion! Anyway...
(4099) graatagoldaring = E50,000##50,000#50,000
(4100) graatagolda-sudexiring = E50,000##50,000#50,000#2
(4101) graatagolda-dusudexiring = E50,000##50,000#50,000#3
(4102) graatagolda-trisudexiring = E50,000##50,000#50,000#4
(4103) graatagolda-quadrisudexiring = E50,000##50,000#50,000#5
(4104) graatagolda-quintisudexiring = E50,000##50,000#50,000#6
...
(4105) graatagoldaclang = E500,000##500,000#500,000
(4106) graatagolda-sudexiclang = E500,000##500,000#500,000#2
(4107) graatagolda-dusudexiclang = E500,000##500,000#500,000#3
(4108) graatagolda-trisudexiclang = E500,000##500,000#500,000#4
(4109) graatagolda-quadrisudexiclang = E500,000##500,000#500,000#5
(4110) graatagolda-quintisudexiclang = E500,000##500,000#500,000#6
...
graatagoldabong = E100,000,000##100,000,000#100,000,000
graatagolda-sudexibong = E100,000,000##100,000,000#100,000,000#2
graatagolda-dusudexibong = E100,000,000##100,000,000#100,000,000#3
(4111) graatagolda-trisudexibong = E100,000,000##100,000,000#100,000,000#4
...
graatagoldathrong = E100,000,000,000##100,000,000,000#100,000,000,000
graatagolda-sudexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#2
graatagolda-dusudexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#3
(4112) graatagolda-trisudexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#4
...
graatagoldagandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000
graatagolda-sudexigandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#2
graatagolda-dusudexigandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#3
(4113) graatagolda-trisudexigandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#4
etc.
Next one, the intermediate numbers...
googolsudex = E100##1#1#2 = E100##1#(E100) = E100##1#googol
grangolsudex = E100##2#1#2
greagolsudex = E100##3#1#2
gigangolsudex = E100##4#1#2
gorgegolsudex = E100##5#1#2
gulgolsudex = E100##6#1#2
gaspgolsudex = E100##7#1#2
ginorgolsudex = E100##8#1#2
gargantuulsudex = E100##9#1#2
googondolsudex = E100##10#1#2
(4114) googonkosolsudex = E100##20#1#2
(4115) googonpetolsudex = E100##50#1#2
...
gugolda-sudex = E100##100#1#2 = E100##100#(E100##100) = E100##100#gugold
googolsuplexisudex = E100##1#2#2
grangolsuplexisudex = E100##2#2#2
greagolsuplexisudex = E100##3#2#2
gigangolsuplexisudex = E100##4#2#2
gorgegolsuplexisudex = E100##5#2#2
gulgolsuplexisudex = E100##6#2#2
gaspgolsuplexisudex = E100##7#2#2
ginorgolsuplexisudex = E100##8#2#2
gargantuulsuplexisudex = E100##9#2#2
googondolsuplexisudex = E100##10#2#2
(4116) googonkosolsuplexisudex = E100##20#2#2
(4117) googonpetolsuplexisudex = E100##50#2#2
...
(4118) googonhectolsuplexisudex or gugolda-suplexisudex = E100##100#2#2
...
googoldusuplexisudex = E100##1#3#2
grangoldusuplexisudex = E100##2#3#2
greagoldusuplexisudex = E100##3#3#2
gigangoldusuplexisudex = E100##4#3#2
(4119) gorgegoldusuplexisudex = E100##5#3#2
(4120) googondoldusuplexisudex = E100##10#3#2
(4121) googonpetoldusuplexisudex = E100##50#3#2
...
gugolda-dusuplexisudex = E100##100#3#2
(4122) googoltrisuplexisudex = E100##1#4#2
gugolda-trisuplexisudex = E100##100#4#2
(4123) googolquadrisuplexisudex = E100##1#5#2
gugolda-quadrisuplexisudex = E100##100#5#2
(4124) googolquintisuplexisudex = E100##1#6#2
gugolda-quintisuplexisudex = E100##100#6#2
(4125) googolsextisuplexisudex = E100##1#7#2
gugolda-sextisuplexisudex = E100##100#7#2
gugolda-septisuplexisudex = E100##100#8#2
gugolda-octisuplexisudex = E100##100#9#2
gugolda-nonisuplexisudex = E100##100#10#2
gugolda-decisuplexisudex = E100##100#11#2
etc.
Before continuing the series, how about... applying base modifiers to intermediate numbers?
(4126) googolsudexichime = E1000##1#1#2 = E1000##1#(E1000) = E100##1#googolchime
(4127) googolsudexitoll = E10,000##1#1#2 = E10,000##1#(E10,000) = E100##1#googoltoll
(4128) googolsudexigong = E100,000##1#1#2 = E100,000##1#(E100,000) = E100##1#googolgong
...
(4129) grangolsudexichime = E1000##2#1#2
(4130) greagolsudexichime = E1000##3#1#2
(4131) gigangolsudexichime = E1000##4#1#2
(4132) gorgegolsudexichime = E1000##5#1#2
(4133) googondolsudexichime = E1000##10#1#2
...
(4134) gugolda-sudexichime = E1000##1000#1#2
...
(4135) grangolsudexitoll = E10,000##2#1#2
(4136) greagolsudexitoll = E10,000##3#1#2
(4137) gigangolsudexitoll = E10,000##4#1#2
(4138) gorgegolsudexitoll = E10,000##5#1#2
(4139) googondolsudexitoll = E10,000##10#1#2
...
(4140) gugolda-sudexitoll = E10,000##10,000#1#2
...
(4141) grangolsudexigong = E100,000##2#1#2
(4142) greagolsudexigong = E100,000##3#1#2
(4143) gigangolsudexigong = E100,000##4#1#2
(4144) gorgegolsudexigong = E100,000##5#1#2
(4145) googondolsudexigong = E100,000##10#1#2
...
(4146) gugolda-sudexigong = E100,000##100,000#1#2
...
(4147) googolsuplexisudexichime = E1000##1#2#2
(4148) grangolsuplexisudexichime = E1000##2#2#2
(4149) greagolsuplexisudexichime = E1000##3#2#2
(4150) gigangolsuplexisudexichime = E1000##4#2#2
(4151) gorgegolsuplexisudexichime = E1000##5#2#2
(4152) gugolda-suplexisudexichime = E1000##1000#2#2
...
(4153) googolsuplexisudexitoll = E10,000##1#2#2
(4154) grangolsuplexisudexitoll = E10,000##2#2#2
(4155) greagolsuplexisudexitoll = E10,000##3#2#2
(4156) gigangolsuplexisudexitoll = E10,000##4#2#2
(4157) gorgegolsuplexisudexitoll = E10,000##5#2#2
(4158) gugolda-suplexisudexitoll = E10,000##10,000#2#2
...
(4159) googolsuplexisudexigong = E100,000##1#2#2
(4160) grangolsuplexisudexigong = E100,000##2#2#2
(4161) greagolsuplexisudexigong = E100,000##3#2#2
(4162) gigangolsuplexisudexigong = E100,000##4#2#2
(4163) gorgegolsuplexisudexigong = E100,000##5#2#2
(4164) gugolda-suplexisudexigong = E100,000##100,000#2#2
... (Now focusing on -gong only for the rest of the catalogue, except for special occasions) ...
(4165) googoldusuplexisudexigong = E100,000##1#3#2
(4166) grangoldusuplexisudexigong = E100,000##2#3#2
(4167) greagoldusuplexisudexigong = E100,000##3#3#2
(4168) gigangoldusuplexisudexigong = E100,000##4#3#2
(4169) gorgegoldusuplexisudexigong = E100,000##5#3#2
(4170) googondoldusuplexisudexigong = E100,000##10#3#2
(4171) gugolda-dusuplexisudexigong = E100,000##100,000#3#2
etc.
(4172) gugolda-trisuplexisudexigong = E100,000##100,000#4#2
(4173) gugolda-quadrisuplexisudexigong = E100,000##100,000#5#2
(4174) gugolda-quintisuplexisudexigong = E100,000##100,000#6#2
(4175) gugolda-sextisuplexisudexigong = E100,000##100,000#7#2
(4176) gugolda-septisuplexisudexigong = E100,000##100,000#8#2
(4177) gugolda-octisuplexisudexigong = E100,000##100,000#9#2
(4178) gugolda-nonisuplexisudexigong = E100,000##100,000#10#2
(4179) gugolda-decisuplexisudexigong = E100,000##100,000#11#2
...
(4180) gugolda-centisuplexisudexigong = E100,000##100,000#101#2
etc.
Anyway... back to normal, before heading back to base modifier.
googoldusudex = E100##1#1#3 = E100##1#(E100)#2 = E100##1#googol#2
grangoldusudex = E100##2#1#3
greagoldusudex = E100##3#1#3
gigangoldusudex = E100##4#1#3
gorgegoldusudex = E100##5#1#3
gulgoldusudex = E100##6#1#3
gaspgoldusudex = E100##7#1#3
ginorgoldusudex = E100##8#1#3
gargantuuldusudex = E100##9#1#3
googondoldusudex = E100##10#1#3
(4181) googonkosoldusudex = E100##20#1#3
(4182) googonpetoldusudex = E100##50#1#3
...
gugolda-dusudex = E100##100#1#3
...
googolsuplexidusudex = E100##1#2#3
grangolsuplexidusudex = E100##2#2#3
greagolsuplexidusudex = E100##3#2#3
gigangolsuplexidusudex = E100##4#2#3
(4183) gorgegolsuplexidusudex = E100##5#2#3
...
gugolda-suplexidusudex = E100##100#2#3
...
(4184) googoldusuplexidusudex = E100##1#3#3
(4185) grangoldusuplexidusudex = E100##2#3#3
(4186) greagoldusuplexidusudex = E100##3#3#3
(4187) gigangoldusuplexidusudex = E100##4#3#3
(4188) gorgegoldusuplexidusudex = E100##5#3#3
gugolda-dusuplexidusudex = E100##100#3#3
...
(4189) googoltrisuplexidusudex = E100##1#4#3
(4190) grangoltrisuplexidusudex = E100##2#4#3
(4191) greagoltrisuplexidusudex = E100##3#4#3
(4192) gigangoltrisuplexidusudex = E100##4#4#3
(4193) gorgegoltrisuplexidusudex = E100##5#4#3
gugolda-trisuplexidusudex = E100##100#4#3
...
(4194) googolquadrisuplexidusudex = E100##1#5#3
gugolda-quadrisuplexidusudex = E100##100#5#3
(4195) googolquintisuplexidusudex = E100##1#6#3
gugolda-quintisuplexidusudex = E100##100#6#3
...
(4196) googoltrisudex = E100##1#1#4
(4197) grangoltrisudex = E100##2#1#4
(4198) greagoltrisudex = E100##3#1#4
gugolda-trisudex = E100##100#1#4
...
(4199) googolsuplexitrisudex = E100##1#2#4
gugolda-suplexitrisudex = E100##100#2#4
gugolda-dusuplexitrisudex = E100##100#3#4
gugolda-trisuplexitrisudex = E100##100#4#4
...
(4200) googolquadrisudex = E100##1#1#5
gugolda-quadrisudex = E100##100#1#5
(4201) googolsuplexiquadrisudex = E100##1#2#5
gugolda-suplexiquadrisudex = E100##100#2#5
...
(4202) googolquintisudex = E100##1#1#6
gugolda-quintisudex = E100##100#1#6
(4203) googolsuplexiquintisudex = E100##1#2#6
gugolda-suplexiquintisudex = E100##100#2#6
...
(4204) googolsextisudex = E100##1#1#7
gugolda-sextisudex = E100##100#1#7
(4205) googolseptisudex = E100##1#1#8
gugolda-septisudex = E100##100#1#8
(4206) googoloctisudex = E100##1#1#9
gugolda-octisudex = E100##100#1#9
(4207) googolnonisudex = E100##1#1#10
gugolda-nonisudex = E100##100#1#10
(4208) googoldecisudex = E100##1#1#11
gugolda-decisudex = E100##100#1#11
etc.
How about some base modifying intermediate numbers (only -gong is considered and added for now)
(4209) googoldusudexigong = E100,000##1#1#3
(4210) grangoldusudexigong = E100,000##2#1#3
(4211) greagoldusudexigong = E100,000##3#1#3
(4212) gigangoldusudexigong = E100,000##4#1#3
(4213) gorgegoldusudexigong = E100,000##5#1#3
...
(4214) gugolda-sudexigong = E100,000##100,000#1#1#3
...
(4215) googolsuplexidusudexigong = E100,000##1#2#3
(4216) grangolsuplexidusudexigong = E100,000##2#2#3
(4217) greagolsuplexidusudexigong = E100,000##3#2#3
(4218) gigangolsuplexidusudexigong = E100,000##4#2#3
(4219) gorgegolsuplexidusudexigong = E100,000##5#2#3
...
(4220) gugolda-suplexidusudexigong = E100,000##100,000#2#3
...
(4221) googoltrisudexigong = E100,000##1#1#4
(4222) grangoltrisudexigong = E100,000##2#1#4
(4223) gugolda-trisudexigong = E100,000##100,000#1#4
(4224) googolsuplexitrisudexigong = E100,000##1#2#4
(4225) gugolda-suplexitrisudexigong = E100,000##100,000#2#4
...
(4226) googoldusuplexitrisudexigong = E100,000##1#3#4
(4227) gugolda-dusuplexitrisudexigong = E100,000##100,000#3#4
(4228) googoltrisuplexitrisudexigong = E100,000##1#4#4
(4229) gugolda-trisuplexitrisudexigong = E100,000##100,000#4#4
...
(4230) googolquadrisudexigong = E100,000##1#1#5
(4231) gugolda-quadrisudexigong = E100,000##100#1#5
(4232) googolsuplexiquadrisudexigong = E100,000##1#2#5
(4233) gugolda-suplexiquadrisudexigong = E100,000##100#2#5
...
(4234) googolquintisudexigong = E100,000##1#1#6
(4235) gugolda-quintisudexigong = E100,000##100#1#6
(4236) googolsuplexiquintisudexigong = E100,000##1#2#6
(4237) gugolda-suplexiquintisudexigong = E100,000##100#2#6
...
(4238) googolsextisudexigong = E100,000##1#1#7
(4239) gugolda-sextisudexigong = E100,000##100#1#7
(4240) googolseptisudexigong = E100,000##1#1#8
(4241) gugolda-septisudexigong = E100,000##100#1#8
(4242) googoloctisudexigong = E100,000##1#1#9
(4243) gugolda-octisudexigong = E100,000##100#1#9
(4244) googolnonisudexigong = E100,000##1#1#10
(4245) gugolda-nonisudexigong = E100,000##100#1#10
(4246) googoldecisudexigong = E100,000##1#1#11
(4247) gugolda-decisudexigong = E100,000##100#1#11
etc.
Let's extend the centillion series, as usual now.
eceto-graatagold = E303##303#303
ecetonsudex = E303##1#1#2 = E303##1#centillion
eceto-grangolsudex = E303##2#1#2
eceto-greagolsudex = E303##3#1#2
eceto-gigangolsudex = E303##4#1#2
(4248) eceto-gorgegolsudex = E303##5#1#2
...
eceto-gugolda-sudex = E303##303#1#2
ecetonsuplexisudex = E303##1#2#2
eceto-grangolsuplexisudex = E303##2#2#2
(4249) eceto-greagolsuplexisudex = E303##3#2#2
...
eceto-gugolda-suplexisudex = E303##303#2#2
(4250) ecetondusuplexisudex = E303##1#3#2
eceto-gugolda-dusuplexisudex = E303##303#3#2
(4251) ecetontrisuplexisudex = E303##1#4#2
(4252) eceto-gugolda-trisuplexisudex = E303##303#4#2
(4253) eceto-gugolda-quadrisuplexisudex = E303##303#5#2
(4254) eceto-gugolda-quintisuplexisudex = E303##303#6#2
...
eceto-graatagolda-sudex = E303##303#303#2
...
ecetondusudex = E303##1#1#3
(4255) eceto-grangoldusudex = E303##2#1#3
eceto-gugolda-dusudex = E303##303#1#3
(4256) ecetonsuplexidusudex = E303##303#1#3
eceto-gugolda-suplexidusudex = E303##303#2#3
...
eceto-graatagolda-dusudex = E303##303#303#3
...
(4257) ecetontrisudex = E303##1#1#4
(4258) eceto-gugolda-trisudex = E303##303#1#4
(4259) eceto-gugolda-suplexitrisudex = E303##303#2#4
(4260) eceto-gugolda-dusuplexitrisudex = E303##303#3#4
eceto-graatagolda-trisudex = E303##303#303#4
...
etc.
Now, let's see at the "grand" version of this regiment.
grand graatagold or (4261) grand graatagond = E100##100#100#2
grand grand graatagold or (4262) grand grand graatagond = E100##100#100#3
grand grand grand graatagold or (4263) grand grand grand graatagond = E100##100#100#4
four-ex-grand graatagold or (4264) four-ex-grand graatagond = E100##100#100#5
(4265) five-ex-grand graatagold or (4266) five-ex-grand graatagond = E100##100#100#6
... getting more insane ...
ten-ex-grand graatagold = E100##100#100#11
hundred-ex-grand graatagold = E100##100#100#101
thousand-ex-grand graatagold = E100##100#100#1001
million-ex-grand graatagold = E100##100#100#1,000,001
googol-ex-grand graatagold = E100##100#100#(E100+1)
(4267) grangol-ex-grand graatagold = E100##100#100#(E100#100+1)
(4268) gugold-ex-grand graatagold = E100##100#100#(E100##100+1)
(4269) grand gugold-ex-grand graatagold = E100##100#100#(E100##100#2+1)
(4270) graatagold-ex-grand graatagold = E100##100#100#(E100##100#100+1)
etc.
Base modifier numbers go here...
(4271) grand graatagoldachime = E1000##1000#1000#2
(4272) grand grand graatagoldachime = E1000##1000#1000#3
(4273) grand grand grand graatagoldachime = E1000##1000#1000#4
*also called (4274) three-ex-grand graatagoldachime
(4275) four-ex-grand graatagoldachime = E1000##1000#1000#5
(4276) five-ex-grand graatagoldachime = E1000##1000#1000#6
...
(4277) ten-ex-grand graatagoldachime = E1000##1000#1000#11
(4278) hundred-ex-grand graatagoldachime = E1000##1000#1000#101
(4279) thousand-ex-grand graatagoldachime = E1000##1000#1000#10001
(4280) googolchime-ex-grand graatagoldachime = E1000##1000#1000#(E1000+1)
(4281) gugoldachime-ex-grand graatagoldachime = E1000##1000#1000#(E1000##1000+1)
(4282) graatagoldachime-ex-grand graatagoldachime = E1000##1000#1000#(E1000##1000#1000+1)
...
(4283) grand graatagoldatoll = E10,000##10,000#10,000#2
(4284) grand grand graatagoldatoll = E10,000##10,000#10,000#3
(4285) grand grand grand graatagoldatoll = E10,000##10,000#10,000#4
*also called (4286) three-ex-grand graatagoldatoll
(4287) four-ex-grand graatagoldatoll = E10,000##10,000#10,000#5
(4288) five-ex-grand graatagoldatoll = E10,000##10,000#10,000#6
...
(4289) ten-ex-grand graatagoldatoll = E10,000##10,000#10,000#11
(4290) hundred-ex-grand graatagoldatoll = E10,000##10,000#10,000#101
(4291) googoltoll-ex-grand graatagoldatoll = E10,000##10,000#10,000#(E10,000+1)
(4292) gugoldatoll-ex-grand graatagoldatoll = E10,000##10,000#10,000#(E10,000##10,000+1)
(4293) graatagoldatoll-ex-grand graatagoldatoll = E10,000##10,000#10,000#(E10,000##10,000#10,000+1)
...
(4294) grand graatagoldagong = E100,000##100,000#100,000#2
(4295) grand grand graatagoldagong = E100,000##100,000#100,000#3
(4296) grand grand grand graatagoldagong = E100,000##100,000#100,000#4
*also called (4297) three-ex-grand graatagoldagong
(4298) four-ex-grand graatagoldagong = E100,000##100,000#100,000#5
(4299) five-ex-grand graatagoldagong = E100,000##100,000#100,000#6
...
(4300) ten-ex-grand graatagoldagong = E100,000##100,000#100,000#11
(4301) hundred-ex-grand graatagoldagong = E100,000##100,000#100,000#101
(4302) googolgong-ex-grand graatagoldagong = E100,000##100,000#100,000#(E100,000+1)
(4303) gugoldagong-ex-grand graatagoldagong = E100,000##100,000#100,000#(E100,000##100,000+1)
(4304) graatagoldagong-ex-grand graatagoldagong = E100,000##100,000#100,000#(E100,000##100,000#100,000+1)
etc.
Before exiting this regiment, let's see if we can make Hyper-E version of some popular numbers.
(4305) gratuitious golden dynamics = E10##10#(Lynz) (it is a dynamic googolism, as Lynz is a dynamic googolism on its own, comparable to Clarkkkkson)
Corporal = {10,100,1,2}
So, (4306) Hyper-E-corporal = E10##10#100
(4307) Hyper-E-corporalsudex = E10##10#100#2
(4308) Hyper-E-corporaldusudex = E10##10#100#3
(4309) Hyper-E-corporaltrisudex = E10##10#100#4
Conway's tetratri = 3→3→3→3 (approximately E[3]3##26#27#2)
(4310) tetra-E-tri = E[3]27##26#27#2
How about... extending Graham's number to the limits?
Firstly, we have, Graham prawn = E[3]3##4#64 (comparable to Graham's number, G(64))
We can extend it with...
(4311) Graham prawn-sudex = E[3]3##4#64#2 (comparable to G(G(64)))
(4312) Graham prawn-dusudex = E[3]3##4#64#3 (comparable to G(G(G(64))))
(4313) Graham prawn-trisudex = E[3]3##4#64#4 (G^4(64))
...
(4314) Graham prawn-tresexagintisudex = E[3]3##4#64#64 (G^64(64))
(4315) Graham prawn-(Grahamisudex) = E[3]3##4#64#(G64) (G^(G64)(64), approximately {3,{3,65,1,2},2,2}, or H(1) in Greater Than Graham series)
That's it for the regiment... No supplements until we hit googondold (seen much later).
Greegold regiment
(4316-4488)
The 13th regiment is about to be powerexpanded to the point that Graham's number can be transcended. Introducing... "greegold", or "greedy golden googol". It is defined as:
*greegold = E100##100#100#100 (also known as greegond)
The new suffix -suthrex should go along with this number. Unfortunately, Saibian did not define the numbers, even though the pattern looks obvious.
greegolda-suthrex = E100##100#100#100#2
greegolda-dusuthrex = E100##100#100#100#3
greegolda-trisuthrex = E100##100#100#100#4
greegolda-quadrisuthrex = E100##100#100#100#5
greegolda-quintisuthrex = E100##100#100#100#6
greegolda-sextisuthrex = E100##100#100#100#7
greegolda-septisuthrex = E100##100#100#100#8
greegolda-octisuthrex = E100##100#100#100#9
greegolda-nonisuthrex = E100##100#100#100#10
greegolda-decisuthrex = E100##100#100#100#11
...
greegolda-vigintisuthrex = E100##100#100#100#21
(4316) greegolda-quinquagintisuthrex = E100##100#100#100#51
greegolda-centisuthrex = E100##100#100#100#101
greegolda-millisuthrex = E100##100#100#100#1001
greegolda-milli-millisuthrex or (4317) greegolda-megasuthrex = E100##100#100#100#1,000,001
(4318) greegolda-googolisuthrex = E100##100#100#100#(E100+1)
(4319) greegolda-grangolisuthrex = E100##100#100#100#(E100#100+1)
(4320) greegolda-gugoldisuthrex = E100##100#100#100#(E100##100+1)
(4321) greegolda-graatagoldisuthrex = E100##100#100#100#(E100##100#100+1)
(4322) greegolda-greegoldisuthrex = E100##100#100#100#(E100##100#100#100+1)
...
With argument modifiers.... we can coin:
greegoldading = E500##500#500#500
greegolda-suthrexiding = E500##500#500#500#2
(4323) greegolda-dusuthrexiding = E500##500#500#500#3
...
greegoldachime = E1000##1000#1000#1000
greegolda-suthrexichime = E1000##1000#1000#1000#2
greegolda-dusuthrexichime = E1000##1000#1000#1000#3
greegolda-trisuthrexichime = E1000##1000#1000#1000#4
(4324) greegolda-quadrisuthrexichime = E1000##1000#1000#1000#5
(4325) greegolda-quintisuthrexichime = E1000##1000#1000#1000#6
...
greegoldabell = E5000##5000#5000#5000
greegolda-suthrexibell = E5000##5000#5000#5000#2
(4326) greegolda-dusuthrexibell = E5000##5000#5000#5000#3
...
greegoldatoll = E10,000##10,000#10,000#10,000
greegolda-suthrexitoll = E10,000##10,000#10,000#10,000#2
greegolda-dusuthrexitoll = E10,000##10,000#10,000#10,000#3
greegolda-trisuthrexitoll = E10,000##10,000#10,000#10,000#4
(4327) greegolda-quadrisuthrexitoll = E10,000##10,000#10,000#10,000#5
(4328) greegolda-quintisuthrexitoll = E10,000##10,000#10,000#10,000#6
...
(4329) greegoldaring = E50,000##50,000#50,000#50,000
(4330) greegolda-suthrexiring = E50,000##50,000#50,000#50,000#2
(4331) greegolda-dusuthrexiring = E50,000##50,000#50,000#50,000#3
...
greegoldagong = E100,000##100,000#100,000#100,000
greegolda-suthrexigong = E100,000##100,000#100,000#100,000#2
greegolda-dusuthrexigong = E100,000##100,000#100,000#100,000#3
greegolda-trisuthrexigong = E100,000##100,000#100,000#100,000#4
greegolda-quadrisuthrexigong = E100,000##100,000#100,000#100,000#5
greegolda-quintisuthrexigong = E100,000##100,000#100,000#100,000#6
(4332) greegolda-decisuthrexigong = E100,000##100,000#100,000#100,000#11
...
(4333) greegoldaclang = E500,000##500,000#500,000#500,000
(4334) greegolda-suthrexiclang = E500,000##500,000#500,000#500,000#2
(4335) greegolda-dusuthrexiclang = E500,000##500,000#500,000#500,000#3
...
greegoldabong = E100,000,000##100,000,000#100,000,000#100,000,000
greegolda-suthrexibong = E100,000,000##100,000,000#100,000,000#100,000,000#2
greegolda-dusuthrexibong = E100,000,000##100,000,000#100,000,000#100,000,000#3
(4336) greegolda-trisuthrexibong = E100,000,000##100,000,000#100,000,000#100,000,000#4
...
greegoldathrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000
greegolda-suthrexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#2
greegolda-dusuthrexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#3
(4337) greegolda-trisuthrexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#4
...
greegoldagandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000
greegolda-suthrexigandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#2
(4338) greegolda-dusuthrexigandingan = E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#3
etc.
Let's add some intermediate numbers:
googolsuthrex = E100##1#1#1#2
grangolsuthrex = E100##2#1#1#2
greagolsuthrex = E100##3#1#1#2
gigangolsuthrex = E100##4#1#1#2
gorgegolsuthrex = E100##5#1#1#2
gulgolsuthrex = E100##6#1#1#2
gaspgolsuthrex = E100##7#1#1#2
ginorgolsuthrex = E100##8#1#1#2
gargantuulsuthrex = E100##9#1#1#2
googondolsuthrex = E100##10#1#1#2
(4339) googonkosolsuthrex = E100##20#1#1#2
(4340) googonpetolsuthrex = E100##50#1#1#2
...
gugolda-suthrex = E100##100#1#1#2
(4341) googolsuplexisuthrex = E100##1#2#1#2
(4342) grangolsuplexisuthrex = E100##2#2#1#2
(4343) greagolsuplexisuthrex = E100##3#2#1#2
...
gugolda-suplexisuthrex = E100##100#2#1#2
...
(4344) googoldusuplexisuthrex = E100##1#3#1#2
(4345) grangoldusuplexisuthrex = E100##2#3#1#2
(4346) greagoldusuplexisuthrex = E100##3#3#1#2
gugolda-dusuplexisuthrex = E100##100#3#1#2
...
graatagolda-suthrex = E100##100#100#1#2
(4347) googolsudexisuthrex = E100##1#1#2#2
(4348) gugolda-sudexisuthrex = E100##100#1#2#2
(4349) gugolda-suplexisudexisuthrex = E100##100#2#2#2
(4350) gugolda-dusuplexisudexisuthrex = E100##100#3#2#2
graatagolda-sudexisuthrex = E100##100#100#2#2
...
(4351) googoldusudexisuthrex = E100##1#1#3#2
(4352) gugolda-dusudexisuthrex = E100##100#1#3#2
(4353) gugolda-suplexidusudexisuthrex = E100##100#2#3#2
graatagolda-dusudexisuthrex = E100##100#100#3#2
...
googoldusuthrex = E100##1#1#1#3
grangoldusuthrex = E100##2#1#1#3
greagoldusuthrex = E100##3#1#1#3
gigangoldusuthrex = E100##4#1#1#3
(4354) gorgegoldusuthrex = E100##5#1#1#3
(4355) googondoldusuthrex = E100##10#1#1#3
...
gugolda-dusuthrex = E100##100#1#1#3
(4356) googolsuplexidusuthrex = E100##1#2#1#3
(4357) gugolda-suplexidusuthrex = E100##100#2#1#3
(4358) gugolda-dusuplexidusuthrex = E100##100#3#1#3
graatagolda-dusuthrex = E100##100#100#1#3
...
(4359) googolsudexidusuthrex = E100##1#1#2#3
(4360) gugolda-sudexidusuthrex = E100##100#1#2#3
graatagolda-sudexidusuthrex = E100##100#100#2#3
(4361) googoldusudexidusuthrex = E100##1#1#3#3
(4362) gugolda-dusudexidusuthrex = E100##100#1#3#3
graatagolda-dusudexidusuthrex = E100##100#100#3#3
...
(4363) googoltrisuthrex = E100##1#1#1#4
(4364) gugolda-trisuthrex = E100##100#1#1#4
graatagolda-trisuthrex = E100##100#100#1#4
(4365) googolsudexitrisuthrex = E100##1#1#2#4
(4366) gugolda-sudexitrisuthrex = E100##100#1#2#4
graatagolda-sudexitrisuthrex = E100##100#100#2#4
(4367) gugolda-dusudexitrisuthrex = E100##100##3#4
graatagolda-dusudexitrisuthrex = E100##100#100#3#4
...
(4367.1) graatagoldaquadrisuthrex = E100##100#100#1#5
Base extension numbers:
(4368) googolsuthrexigong = E100,000##1#1#1#2
(4369) grangolsuthrexigong = E100,000##2#1#1#2
(4370) greagolsuthrexigong = E100,000##3#1#1#2
(4371) gigangolsuthrexigong = E100,000##4#1#1#2
(4372) gorgegolsuthrexigong = E100,000##5#1#1#2
...
(4373) gugolda-suthrexigong = E100,000##100,000#1#1#2
(4374) googolsuplexisuthrexigong = E100,000##1#2#1#2
(4375) grangolsuplexisuthrexigong = E100,000##2#2#1#2
...
(4376) gugolda-suplexisuthrexigong = E100,000##100,000#2#1#2
...
(4377) googoldusuplexisuthrexigong = E100,000##1#3#1#2
(4378) gugolda-dusuplexisuthrexigong = E100,000##100,000#3#1#2
...
(4379) graatagolda-suthrexigong = E100,000##100,000#100,000#1#2
(4380) googolsudexisuthrexigong = E100,000##1#1#2#2
(4381) gugolda-sudexisuthrexigong = E100,000##100,000#1#2#2
(4382) gugolda-suplexisudexisuthrexigong = E100,000##100,000#2#2#2
(4383) graatagolda-sudexisuthrexigong = E100,000##100,000#100,000#2#2
...
(4384) googoldusudexisuthrexigong = E100,000##1#1#3#2
(4385) gugolda-dusudexisuthrexigong = E100,000##100,000#1#3#2
(4386) graatagolda-dusudexisuthrexigong = E100,000##100,000#100,000#3#2
...
(4387) googoldusuthrexigong = E100,000##1#1#1#3
(4388) grangoldusuthrexigong = E100,000##2#1#1#3
(4389) greagoldusuthrexigong = E100,000##3#1#1#3
...
(4390) gugolda-dusuthrexigong = E100,000##100,000#1#1#3
(4391) googolsuplexidusuthrexigong = E100,000##1#2#1#3
(4392) gugolda-suplexidusuthrexigong = E100,000##100,000#2#1#3
(4393) graatagolda-dusuthrexigong = E100,000##100,000#100,000#1#3
...
(4394) googolsudexidusuthrexigong = E100,000##1#1#2#3
(4395) gugolda-sudexidusuthrexigong = E100,000##100,000#1#2#3
(4396) graatagolda-sudexidusuthrexigong = E100,000##100,000#100,000#2#3
(4397) googoldusudexidusuthrexigong = E100,000##1#1#3#3
(4398) gugolda-dusudexidusuthrexigong = E100,000##100,000#1#3#3
(4399) graatagolda-dusudexidusuthrexigong = E100,000##100,000#100,000#3#3
...
(4400) googoltrisuthrexigong = E100,000##1#1#1#4
(4401) gugolda-trisuthrexigong = E100,000##100,000#1#1#4
(4402) graatagolda-trisuthrexigong = E100,000##100,000#100,000#1#4
(4403) googolsudexitrisuthrexigong = E100,000##1#1#2#4
(4404) gugolda-sudexitrisuthrexigong = E100,000##100,000#1#2#4
(4405) graatagolda-sudexitrisuthrexigong = E100,000##100,000#100,000#2#4
(4406) gugolda-dusudexitrisuthrexigong = E100,000##100,000##3#4
(4407) graatagolda-dusudexitrisuthrexigong = E100,000##100,000#100,000#3#4
etc.
Extending eceton:
eceto-greegold = E303##303#303#303
ecetonsuthrex = E303##1#1#1#2
(4408) eceto-grangolsuthrex = E303##2#1#1#2
eceto-gugolda-suthrex = E303##303#1#1#2
(4409) eceto-gugolda-suplexisuthrex = E303##303#2#1#2
(4410) eceto-gugolda-dusuplexisuthrex = E303##303#3#1#2
eceto-graatagolda-suthrex = E303##303#303#1#2
(4411) ecetonsudexisuthrex = E303##1#1#2#2
(4412) eceto-graatagolda-sudexisuthrex = E303##303#303#2#2
(4413) eceto-graatagolda-dusudexisuthrex = E303##303#303#3#2
eceto-greegolda-suthrex = E303##303#303#303#2
...
ecetondusuthrex = E303##1#1#1#3
(4414) eceto-gugolda-dusuthrex = E303##303#1#1#3
(4415) eceto-graatagolda-dusuthrex = E303##303#2#1#3
(4416) eceto-graatagolda-sudexidusuthrex = E303##303#2#1#3
eceto-greegolda-dusuthrex = E303##303#303#303#3
(4417) ecetontrisuthrex = E303##1#1#1#4
(4418) eceto-gugolda-trisuthrex = E303##303#1#1#4
(4419) eceto-graatagolda-trisuthrex = E303##303#303#1#4
eceto-greegolda-trisuthrex = E303##303#303#303#4
etc.
Before completing this regiment.... let's add the "grand" version of this googolism...
grand greegold or (4420) grand greegond = E100##100#100#100#2
grand grand greegold or (4421) grand grand greegond = E100##100#100#100#3
(4422) grand grand grand greegold or (4423) grand grand grand greegond = E100##100#100#100#4
(4424) four-ex-grand greegold or (4425) four-ex-grand greegond = E100##100#100#100#5
(4426) five-ex-grand greegold or (4427) five-ex-grand greegond = E100##100#100#100#6
...
(4428) ten-ex-grand greegold or (4429) ten-ex-grand greegond = E100##100#100#100#11
(4430) hundred-ex-grand greegold = E100##100#100#100#101
(4431) thousand-ex-grand greegold = E100##100#100#100#1001
(4432) googol-ex-grand greegold = E100##100#100#100#(E100+1)
(4433) gugold-ex-grand greegold = E100##100#100#100#(E100##100+1)
(4434) graatagold-ex-grand greegold = E100##100#100#100#(E100##100#100+1)
(4435) greegold-ex-grand greegold = E100##100#100#100#(E100##100#100#100+1)
...
(4436) grand greegoldachime or (4437) grand greegondachime = E1000##1000#1000#1000#2
(4438) grand grand greegoldachime or (4439) grand grand greegondachime = E1000##1000#1000#1000#3
(4440) grand grand grand greegoldachime= E1000##1000#1000#1000#4
(4441) four-ex-grand greegoldachime= E1000##1000#1000#1000#5
(4442) five-ex-grand greegoldachime = E1000##1000#1000#1000#6
...
(4443) ten-ex-grand greegoldachime = E1000##1000#1000#1000#11
(4444) hundred-ex-grand greegoldachime = E1000##1000#1000#1000#101
(4445) thousand-ex-grand greegoldachime = E1000##1000#1000#1000#1001
(4446) googolchime-ex-grand greegoldachime = E1000##1000#1000#1000#(E1000+1)
(4447) gugoldachime-ex-grand greegoldachime = E1000##1000#1000#1000#(E1000##1000+1)
(4448) graatagoldachime-ex-grand greegoldachime = E1000##1000#1000#1000#(E1000##1000#1000+1)
(4449) greegoldachime-ex-grand greegoldachime = E1000##1000#1000#1000#(E1000##1000#1000#1000+1)
...
(4450) grand greegoldatoll or (4451) grand greegondatoll = E10,000##10,000#10,000#10,000#2
(4452) grand grand greegoldatoll or (4453) grand grand greegondatoll = E10,000##10,000#10,000#10,000#3
(4454) grand grand grand greegoldatoll = E10,000##10,000#10,000#10,000#4
(4455) four-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#5
(4456) five-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#6
...
(4457) ten-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#11
(4458) hundred-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#101
(4459) thousand-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#1001
(4460) googoltoll-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#(E10,000+1)
(4461) gugoldatoll-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#(E10,000##10,000+1)
(4462) graatagoldatoll-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#(E10,000##10,000#10,000+1)
(4463) greegoldatoll-ex-grand greegoldatoll = E10,000##10,000#10,000#10,000#(E10,000##10,000#10,000#10,000+1)
...
(4464) grand greegoldagong or (4465) grand greegondagong = E100,000##100,000#100,000#100,000#2
(4466) grand grand greegoldagong or (4467) grand grand greegondagong = E100,000##100,000#100,000#100,000#3
(4468) grand grand grand greegoldagong = E100,000##100,000#100,000#100,000#4
(4469) four-ex-grand greegoldagong= E100,000##100,000#100,000#100,000#5
(4470) five-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#6
...
(4471) ten-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#11
(4472) hundred-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#101
(4473) thousand-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#1001
(4474) googolgong-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#(E100,000+1)
(4475) gugoldagong-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#(E100,000##100,000+1)
(4476) graatagoldagong-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#(E100,000##100,000#100,000+1)
(4477) greegoldagong-ex-grand greegoldagong = E100,000##100,000#100,000#100,000#(E100,000##100,000#100,000#100,000+1)
etc.
Before leaving this regiment, let's see and compare some popular numbers.
grand tritri = {3,3,3,2}
greegoldasuthrex ~ {100,3,3,2}
Let's coin a number...
(4478) Endeavored tritri = E[3]3##3#3#3#2
Conway's tetratet = 4→4→4→4
(4479) tetratet abilism = E[4]4##4#4#4#4
...
mulporal = {10,100,2,2}
So, (4480) Hyper-E-mulporal = E10##10#10#100
(4481) Hyper-E-mulporalsuthrex = E10##10#10#100#2
(4482) Hyper-E-mulporaldusuthrex = E10##10#10#100#3
(4483) Hyper-E-mulporaltrisuthrex = E10##10#10#100#4
Last but not least... how about extending Graham's number:
(4484) multiexpanded Graham prawn = E[3]3##4#64#64 (approximately G^(64)64)
(4485) Graham prawn-suthrex = E[3]3##4#64#1#2 (approximately G^(G64)64)
(4486) multiexpanded Graham prawn-suthrex = E[3]3##4#64#64#2 (approximately G^(G^(64)64)64)
(4487) Graham prawn-dusuthrex = E[3]3##4#64#1#3 (approximately G^(G^(G64)64)64)
(4488) multiexpanded Graham prawn-dusuthrex = E[3]3##4#64#64#3 (approximately G^(G^(64)64)64)
...
etc.
Grinningold regiment
(4489-4565)
Grin up with this grinning number... namely "grinning golden googol", or grinningold, for short.
grinningold = E100##100#100#100#100
Of course, we have -sutetrex as well... (again, Saibian did not explicitly define the numbers for the names given, and this persisted until gruelohgold regiment.)
grinningolda-sutetrex = E100##100#100#100#100#2
grinningolda-dusutetrex = E100##100#100#100#100#3
grinningolda-trisutetrex = E100##100#100#100#100#4
grinningolda-quadrisutetrex = E100##100#100#100#100#5
grinningolda-quintisutetrex = E100##100#100#100#100#6
...
(4489) grinningolda-decisutetrex = E100##100#100#100#100#11
(4490) grinningolda-centisutetrex = E100##100#100#100#100#101
Argument modifiers go here... (again, Saibian did not define the numbers for the names given, and this persisted until gruelohgold regiment.)
grinningoldading = E500##500#500#500#500
(4491) grinningolda-sutetrexiding = E500##500#500#500#500#2
(4492) grinningolda-dusutetrexiding = E500##500#500#500#500#3
...
grinningoldachime = E1000##1000#1000#1000#1000
grinningolda-sutetrexichime = E1000##1000#1000#1000#1000#2
grinningolda-dusutetrexichime = E1000##1000#1000#1000#1000#3
(4493) grinningolda-trisutetrexichime = E1000##1000#1000#1000#1000#4
...
grinningoldabell = E5000##5000#5000#5000#5000
(4494) grinningolda-sutetrexibell = E5000##5000#5000#5000#5000#2
(4495) grinningolda-dusutetrexibell = E5000##5000#5000#5000#5000#3
...
grinningoldatoll = E10,000##10,000#10,000#10,000#10,000
grinningolda-sutetrexitoll = E10,000##10,000#10,000#10,000#10,000#2
grinningolda-dusutetrexitoll = E10,000##10,000#10,000#10,000#10,000#3
(4496) grinningolda-trisutetrexitoll = E10,000##10,000#10,000#10,000#10,000#4
...
(4497) grinningoldaring = E50,000##50,000#50,000#50,000#50,000
(4498) grinningolda-sutetrexiring = E50,000##50,000#50,000#50,000#50,000#2
(4499) grinningolda-dusutetrexiring = E50,000##50,000#50,000#50,000#50,000#3
...
grinningoldagong = E100,000##100,000#100,000#100,000#100,000
grinningolda-sutetrexigong = E100,000##100,000#100,000#100,000#100,000#2
grinningolda-dusutetrexigong = E100,000##100,000#100,000#100,000#100,000#3
grinningolda-trisutetrexigong = E100,000##100,000#100,000#100,000#100,000#4
(4500) grinningolda-quadrisutetrexigong = E100,000##100,000#100,000#100,000#100,000#5
(4501) grinningolda-quintisutetrexigong = E100,000##100,000#100,000#100,000#100,000#6
...
(4502) grinningoldaclang = E500,000##500,000#500,000#500,000#500,000
(4503) grinningolda-sutetrexiclang = E500,000##500,000#500,000#500,000#500,000#2
(4504) grinningolda-dusutetrexiclang = E500,000##500,000#500,000#500,000#500,000#3
...
grinningoldabong = E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000
grinningolda-sutetrexibong = E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#2
(4505) grinningolda-dusutetrexibong = E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#2
...
grinningoldathrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000
grinningolda-sutetrexithrong = E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
...
grinningoldagandingan =
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
...
With combinatorial googolisms...
googolsutetrex = E100##1#1#1#1#2
(4506) grangolsutetrex = E100##2#1#1#1#2
(4507) greagolsutetrex = E100##3#1#1#1#2
(4508) gigangolsutetrex = E100##4#1#1#1#2 (not to be confused with the earlier gigangoltetrex)
gugolda-sutetrex = E100##100#1#1#1#2
(4509) gugolda-suplexisutetrex = E100##100#2#1#1#2
graatagolda-sutetrex = E100##100#100#1#1#2
(4510) graatagolda-sudexisutetrex = E100##100#100#2#1#2
(4511) graatagolda-dusudexisutetrex = E100##100#100#3#1#2
greegolda-sutetrex = E100##100#100#100#1#2
(4512) googoldusutetrex = E100##1#1#1#1#3
(4513) gugolda-dusutetrex = E100##100#1#1#1#3
(4514) graatagolda-dusutetrex = E100##100#100#1#1#3
(4515) graatagolda-sudexidusutetrex = E100##100#100#2#1#3
greegolda-dusutetrex = E100##100#100#100#1#3
(4516) greegolda-suthrexidusutetrex = E100##100#100#100#2#3
(4517) greegolda-dusuthrexidusutetrex = E100##100#100#100#3#3
(4518) greegolda-trisutetrex = E100##100#100#100#1#4
etc.
Base modifiers:
(4519) googolsutetrexigong = E100,000##1#1#1#1#2
(4520) grangolsutetrexigong = E100,000##2#1#1#1#2
(4521) gugolda-sutetrexigong = E100,000##100,000#1#1#1#2
(4522) graatagolda-sutetrexigong = E100,000##100,000#100,000#1#1#2
(4523) greegolda-sutetrexigong = E100,000##100,000#100,000#100,000#1#2
(4524) greegolda-suthrexisutetrexigong = E100,000##100,000#100,000#100,000#2#2
...
(4525) googoldusutetrexigong = E100,000##1#1#1#1#3
(4526) gugolda-dusutetrexigong = E100,000##100,000#1#1#1#3
(4527) graatagolda-dusutetrexigong = E100,000##100,000#100,000#1#1#3
(4528) greegolda-dusutetrexigong = E100,000##100,000#100,000#100,000#1#3
(4529) greegolda-suthrexidusutetrexigong = E100,000##100,000#100,000#100,000#2#3
(4530) greegolda-trisutetrexigong = E100,000##100,000#100,000#100,000#1#4
etc.
With centillion extension...
eceto-grinningold = E303##303#303#303#303
ecetonsutetrex = E303##1#1#1#1#2
(4531) eceto-gugolda-sutetrex = E303##303#1#1#1#2
(4532) eceto-graatagolda-sutetrex = E303##303#303#1#1#2
(4533) eceto-greegolda-sutetrex = E303##303#303#303#1#2
(4534) eceto-greegolda-suthrexisutetrex = E303##303#303#303#2#2
eceto-grinningolda-sutetrex = E303##303#303#303#303#2
...
ecetondusutetrex = E303##1#1#1#1#3
(4535) eceto-gugolda-dusutetrex = E303##303#1#1#1#3
(4536) eceto-graatagolda-dusutetrex = E303##303#303#1#1#3
(4537) eceto-greegolda-dusutetrex = E303##303#303#303#1#3
(4538) eceto-greegolda-suthrexisutetrex = E303##303#303#303#2#3
eceto-grinningolda-dusutetrex = E303##303#303#303#303#3
(4539) eceto-grinningolda-trisutetrex = E303##303#303#303#303#4
etc.
And finally, the grand version...
grand grinningold or (4540) grand grinningond = E100##100#100#100#100#2
grand grand grinningold or (4541) grand grand grinningond = E100##100#100#100#100#3
(4542) grand grand grand grinningold or (4543) grand grand grand grinningond = E100##100#100#100#100#4
(4544) four-ex-grand grinningold = E100##100#100#100#100#5
(4545) five-ex-grand grinningold = E100##100#100#100#100#6
...
(4546) ten-ex-grand grinningold = E100##100#100#100#100#11
(4547) hundred-ex-grand grinningold = E100##100#100#100#100#101
...
(4548) googol-ex-grand grinningold = E100##100#100#100#100#(E100+1)
(4549) gugold-ex-grand grinningold = E100##100#100#100#100#(E100##100+1)
(4550) grinningold-ex-grand grinningold = E100##100#100#100#100#(E100##100#100#100#100+1)
etc.
Next one...
(4551) grand grinningoldachime = E1000##1000#1000#1000#1000#2
(4552) grand grand grinningoldachime = E1000##1000#1000#1000#1000#3
(4553) grand grand grand grinningoldachime = E1000##1000#1000#1000#1000#4
...
(4554) googolchime-ex-grand grinningoldachime = E1000##1000#1000#1000#1000#(E1000+1)
(4555) grinningoldachime-ex-grand grinningoldachime = E1000##1000#1000#1000#1000#(E1000##1000#1000#1000#1000+1)
etc.
(4556) grand grinningoldatoll = E10,000##10,000#10,000#10,000#10,000#2
(4557) grand grand grinningoldatoll = E10,000##10,000#10,000#10,000#10,000#3
(4558) grand grand grand grinningoldatoll = E10,000##10,000#10,000#10,000#10,000#4
...
(4559) googoltoll-ex-grand grinningoldatoll = E10,000##10,000#10,000#10,000#10,000#(E10,000+1)
(4560) grinningoldatoll-ex-grand grinningoldatoll = E10,000##10,000#10,000#10,000#10,000#(E10,000##10,000#10,000#10,000#10,000+1)
etc.
(4561) grand grinningoldagong = E100,000##100,000#100,000#100,000#100,000#2
(4562) grand grand grinningoldagong = E100,000##100,000#100,000#100,000#100,000#3
(4563) grand grand grand grinningoldagong = E100,000##100,000#100,000#100,000#100,000#4
...
(4564) googolgong-ex-grand grinningoldagong = E100,000##100,000#100,000#100,000#100,000#(E100,000+1)
(4565) grinningoldagong-ex-grand grinningoldagong = E100,000##100,000#100,000#100,000#100,000#(E100,000##100,000#100,000#100,000#100,000+1)
etc.
That's it for this regiment. Time to drive to the next one in the next part.
Go to part 6