Author Topic: Graham's Number.  (Read 3434 times)

I posted this in the atoms topic, but it didn't get a response and this number is so mind warpingly crazy that I think it should be brought to everyone's attention.

Graham's number is bigger than almost anything you can imagine, basically. It is the upper bound in a problem that some dude named Graham thought up. To try and get an idea of how big this number is, think of all the atoms that can possibly be contained in the universe and you have still not conceptualized Graham's Number

For those of you who don't feel like reading a wikipedia page about massive numbers, this is how to imagine Graham's number.

Take 3^3^3. That is 19,683. This is the number of 'To the power of...'s in the next step of Graham's Number. There are 64 steps in this process. That is Graham's number. I daresay this number is larger than most people's conceptions of infinity.


pi is longer
Infinity is even longer :D

Yes my infinity is pretty big. Even if you try the infinity plus one argument, because Infinity grows by factors of 10s, not single digits, so you'd fall way behind by the time you thought you were keeping ahead. :D
« Last Edit: October 08, 2009, 09:24:44 PM by Rughugger »



pi is longer
Pi is an irrational decimal, meaning that it's digits stretch into infinity. However, it is still between 3 and 4 no matter which way you look at it. Graham's number is a number so large that it cannot be recorded in any meaningful sense besides recursive formulas.

Besides, Graham's number has an end unlike Pi. the last ten digits are 2464195387.


Infinity is even longer :D

as sirrus said, pi=infinity in length :P

as sirrus said, pi=infinity in length :P
Length, not size.

Length, not size.
well yes, infinity is like....infinity minus pi bigger than pi

Infinity is even longer
but my snake is the longest

e-peen points get

I'm now inventing a number, it goes                   4
                                                                4^
                                                             4^
                                                                 ect.

It's larger than Grahams.

Pi is an irrational decimal, meaning that it's digits stretch into infinity. However, it is still between 3 and 4 no matter which way you look at it. Graham's number is a number so large that it cannot be recorded in any meaningful sense besides recursive formulas.

Besides, Graham's number has an end unlike Pi. the last ten digits are 2464195387.
3^3 = 27^3 = 19,683^3 = 7625597484987^3 = 4.434264882430377699482496306 1915e+38

the end

I'm now inventing a number, it goes                   4
                                                                4^
                                                             4^
                                                                 ect.

It's larger than Grahams.
Quote from: wikipedia
given the limitations of our universe, to denote Graham's number, or any reasonable approximation of it, in a conventional system of numeration. Even "power towers" of the form  are useless for this purpose

69^69 64 times

69 to the 69th power 64 times

i win
« Last Edit: October 08, 2009, 10:05:32 PM by Robo Noob »