| |
|
Welcome to KnowledgeSutra - Dear Guest | |
The Definition Of Google Number [aka Googol]
Started by -[Nero]-, Mar 11 2007 01:27 AM
24 replies to this topic
#22
Posted 11 February 2010 - 01:18 PM
Large numbersThe Definition Of Google Number [aka Googol]
Just watched a programme on TV about infinity which touched on large numbers.
Yes Google
Yes Googleplex
But what about Graem. A Gream (calculated by Matthew Gream) is a number so large that we don't even know what or how many digits it has other than the last one is 7. Something to do with sending internet information.
-reply by Mark
#23 Guest_Jerry_*
Posted 09 August 2010 - 02:16 PM
33 = 9
93= 729
7293 = 387420489
3874204893 = 5.8149737 × 1025
(5.8149737 × 1025)3 = 1.9662705 × 1077
Keep going and going, until you have done raised a number to the 3rd power for the 64th time.
----------------------------------------------------------------------------------------------
The truth is that you are both saying the same. It is actually 3 to the power of 64. If you check what you are explaining, confirms this.
3 ^3 = 9 (3x3x3)
9 ^3 = 729 (which is 3 ^6, or 3x3x3x3x3x3)
729 ^3 = 387420489 (which is 3 ^9, or 3x3x3x3x3x3x3x3x3)
You will just have to continue adding up the exp number.
93= 729
7293 = 387420489
3874204893 = 5.8149737 × 1025
(5.8149737 × 1025)3 = 1.9662705 × 1077
Keep going and going, until you have done raised a number to the 3rd power for the 64th time.
----------------------------------------------------------------------------------------------
The truth is that you are both saying the same. It is actually 3 to the power of 64. If you check what you are explaining, confirms this.
3 ^3 = 9 (3x3x3)
9 ^3 = 729 (which is 3 ^6, or 3x3x3x3x3x3)
729 ^3 = 387420489 (which is 3 ^9, or 3x3x3x3x3x3x3x3x3)
You will just have to continue adding up the exp number.
#24 Guest_P-Dub_*
Posted 27 September 2011 - 07:19 PM
Jerry, on 09 August 2010 - 02:16 PM, said:
33 = 9
93= 729
7293 = 387420489
3874204893 = 5.8149737 × 1025
(5.8149737 × 1025)3 = 1.9662705 × 1077
Keep going and going, until you have done raised a number to the 3rd power for the 64th time.
----------------------------------------------------------------------------------------------
The truth is that you are both saying the same. It is actually 3 to the power of 64. If you check what you are explaining, confirms this.
3 ^3 = 9 (3x3x3)
9 ^3 = 729 (which is 3 ^6, or 3x3x3x3x3x3)
729 ^3 = 387420489 (which is 3 ^9, or 3x3x3x3x3x3x3x3x3)
You will just have to continue adding up the exp number.
93= 729
7293 = 387420489
3874204893 = 5.8149737 × 1025
(5.8149737 × 1025)3 = 1.9662705 × 1077
Keep going and going, until you have done raised a number to the 3rd power for the 64th time.
----------------------------------------------------------------------------------------------
The truth is that you are both saying the same. It is actually 3 to the power of 64. If you check what you are explaining, confirms this.
3 ^3 = 9 (3x3x3)
9 ^3 = 729 (which is 3 ^6, or 3x3x3x3x3x3)
729 ^3 = 387420489 (which is 3 ^9, or 3x3x3x3x3x3x3x3x3)
You will just have to continue adding up the exp number.
Actually, you are all wrong. 3 ^2 = 9. 3 ^3 = 27.
So...
3 ^3 = 27
27 ^3 = 19,683
19,683 ^3 = 7.62559748 × 10^12
At this point we have only cubed the number 3 times and already we have 12 preceding zeros. 61 more times would be huge. Much larger than a google/googol.
FYI: 3 ^64 = 3.43368382 × 10^30
#25 Guest_Alex_*
Posted 25 January 2012 - 04:53 PM
FYI: Graham's number
3^3 = 27 = 3 ^(3^1) -> First Iterration
27^3 = 19683 = 3^3^3 = 3^9 = 3^(3^2) -> Second Iterration
19683^3 = 7625597484987 = 3^3^3^3 = 3^9^3 = 3^27 = 3^(3^3) -> Third Iterration
So, the number you are looking for is the 64th Iterration, which is:
3^(3^64) = a lot
But, I am not so sure this is in fact Graham's number, because his number is defined using Knuth's up-arrow notation.
3^3 = 27 = 3 ^(3^1) -> First Iterration
27^3 = 19683 = 3^3^3 = 3^9 = 3^(3^2) -> Second Iterration
19683^3 = 7625597484987 = 3^3^3^3 = 3^9^3 = 3^27 = 3^(3^3) -> Third Iterration
So, the number you are looking for is the 64th Iterration, which is:
3^(3^64) = a lot
But, I am not so sure this is in fact Graham's number, because his number is defined using Knuth's up-arrow notation.
Reply to this topic

1 user(s) are reading this topic
0 members, 1 guests, 0 anonymous users














