Graham's number (g64) and other extremely big numbers

excelguru

READ THIS FIRST: don't delete this. I thought I wanted to but I changed my mind.

Superlooper notation

[a,b]1 = a^b
[a,b]c = a↑↑…↑↑b (c ↑s)
[a,b][1] = a{↑}b

Here is how it progresses:

1,2,3,4,...

[1],[2],[3],[4],...

[[1]],[[2]],[[3]],[[4]],...

[1,2]

[2,2]
[3,2]
[[1],2]
[[2],2]
[[1,2],2]
[[[1,2],2],2]
[1,3]
[1,4]
[1,5]

[1,1,2]
[1,1,1,2]

And the definition? This function is hard to define, but at least I understand it

And the numbers:

Oopayu = [100,100]1
Doopayu = [100,oopayu]1
Troopayu = [100,doopayu]1
Oopayadu = [100,100]2
Doopayadu = [100,oopayadu]2
Oopayatru = [100,100]3
Fuvoogaih = [100,100][1]
Duvoogaih = [100,fuvoogaih][1]
Truvoogaih = [100,duvoogaih][1]
Fuvoodugaih = [100,100][2]
Fuvootrigaih = [100,100][3]
Fuvoogaidus = [100,100][[1]]
Duvoodugaidus = [100,[100,100][[2]]][[2]]
Truvootrigaitris = [100,[100,[100,100][[[3]]]][[[3]]]][[[3]]]
Queegalog = [100,100][1,2]

Last edited by excelguru (July 15, 2015 01:57:45)

ev3coolexit987654

What is a{↑}b

excelguru

ev3coolexit987654 wrote:
What is a{↑}b

a↑↑…↑↑a with b arrows

excelguru

excelguru wrote:
ev3coolexit987654 wrote:
What is a{↑}b
a↑↑…↑↑a with b arrows

Don't expect anything from me because I quit.

JeeJeeHogMole724

monkeyballz8 wrote:
But G(64) is huge and G(n) is fast growing but TREE(n) is faster. TREE(3) is way way way way way way bigger than graatagold so TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(3))))))))))))))))))))))))))))))))))))))))
move (That number before lol) steps
play sound [Same number (gasps)] until done

TREE(Graham's Number)

excelguru

JeeJeeHogMole724 wrote:
monkeyballz8 wrote:
But G(64) is huge and G(n) is fast growing but TREE(n) is faster. TREE(3) is way way way way way way bigger than graatagold so TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(3))))))))))))))))))))))))))))))))))))))))
move (That number before lol) steps
play sound [Same number (gasps)] until done
TREE(Graham's Number)

TREE(TREE(…(TREE(TREE(Graham's number)))…)) with TREE(Graham's number) TREEs

Vetpetmon

Pi, of course.

MathlyCat

robosnakejr wrote:
Oh look.
Humanity created something they can't comprehend again.

It's like when Cavemen smeared “paints” on cave walls, they had no clue except that they were the Picaso of 20,000 B.C.
History Jokes, somehow this one is funny…

g64 reminds me of a conversation about the existence of us, and why did Mother Earth keep us…

ev3coolexit987654

big number incoming (you gotta deal with the pseudocode):

biggestintever i = 100;
define int lelz (MathFUNCTION mf, biggestintever j){return mf(mf(...(mf(j) nummfs = mf(mf(mf(j)));}
while true{
i = lelz(TREE, lelz(TREE, lelz(TREE... lelz(TREE, i)) with lelz(19999999) layers;
whateverthatwas swap(TREE,Grahamsfunction);
}

Whoops sorry if nobody understood

CatsUnited

Vetpetmon wrote:
Pi, of course.

What do you mean? G(64), Googol and even 10 are larger than pi.

BaconAndEggs1

CatsUnited wrote:
Vetpetmon wrote:
Pi, of course.
What do you mean? G(64), Googol and even 10 are larger than pi.

I think they were just confused and brought it up because of its infinite decimal places. I can understand the hilarity behind the situation since the number is just three.

excelguru

BaconAndEggs1 wrote:
CatsUnited wrote:
Vetpetmon wrote:
Pi, of course.
What do you mean? G(64), Googol and even 10 are larger than pi.
I think they were just confused and brought it up because of its infinite decimal places. I can understand the hilarity behind the situation since the number is just three.

One may say “pi with the decimal point removed” but that is an infinity so it is cheating.

excelguru

A bold italic underlined strikethrough?

excelguru

ORCHARD(n) = TREE(TREE(…(TREE(TREE(3)))…)) with n TREEs

Then…

TREE1(n) = TREE(n)
TREE2(n) = ORCHARD(n)

TREEm+1(n) = TREEm(TREEm(…(TREEm(TREEm(3)))…)) with n TREEs

G!(n) = G(n)!!!…!!! with G(n) factorials
G!!(n) = G!(n)!!!…!!! with G!(n) factorials
G!!!(n) = G!!(n)!!!…!!! with G!!(n) factorials
…

Ultimate Grahamfactorial number:

G!!!…!!!(2352947) with G!!!…!!!(245352) factorials with G!!!!!!!!!!!(725464)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! factorials

Even better define n# as n^n and get G#, G##, and get the ultimate Grahampowerial number!

Or define G…!(n) = G…(n)!!!…!!! with G…(n) factorials and G…#(n) = G…(n)###…### with G…(n) #'s! That's right, we're going mixed!

My ultimate Grahamfactpowerial number is G#!###!#!##!!#!!(22535353535)

Last edited by excelguru (July 20, 2015 00:46:12)

Zro716

ok well i have no idea how this turned into a “how obscure of a function can we make” contest by like one person

sorry folks but gotta close. use the TBGs for that instead

Discuss Scratch