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Graham's Number put into perspective
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Graham's Number put into perspectivePosted:
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So, we all know numbers can get big, right?
For example, 1 million (1,000,000), 1 billion (1,000,000,000) and so forth.
But what about the largest single number we can express? or think of? (remember, infinity is an idea, not a number, considering, well, it isn't finite, which all numbers are).
Well, graham's number is definitely up there.
What is graham's number though?
Well, lets start with the number 3
3 squared is 9. (32)
3 cubed is 27 (33)
NOTE: It starts to get big here, so I will use the symbol "^" to express "to the power of"
So we know that 3^3 is 27. What about 3^^3? Well, it gets big here. This is also 3^27, which equals out to exactly 7,625,597,484,987, or simply 7.6 trillion.
It get's much, much, much bigger than this number from here on.
Now, let's keep growing on 3. What is 3^^^3 (3^^3^^3).
This begins to get astronomically large, it would 3^^^.. so on for 7.6 trillion stacks high, which is just crazy big, and we're not anywhere close to graham's number yet.
Alright- let's begin to get into Graham's Number itself, and how to achieve it.
3^^^^3 is g1, which is a base unit for getting grahams number. This number is without doubt extremely off the charts already.
But what is g2
That would be
And g3?
Graham's Number is g64.
This number is so stupidly large that there is nowhere near enough space in the observable universe (93 billion light years circumference est.) for this to be stored digitally (yes, as in binary code, on a hard drive). Also, if you tried to write this number out, your head would literally turn into a black hole, considering the universe can't even begin to hold that much matter in itself, and in the process of you being able to think of it, and have it in your memory, you would collapse the universe in on itself since you would be creating matter (an extreme amount of it), which isn't possible. (law of conservation of matter + the Observable Universes' capacity)
Thanks for reading this all the way through if you did, this took me a lot of time to make. . Credits to : Numberphile and myself
Last edited by Kramoris ; edited 1 time in total
For example, 1 million (1,000,000), 1 billion (1,000,000,000) and so forth.
But what about the largest single number we can express? or think of? (remember, infinity is an idea, not a number, considering, well, it isn't finite, which all numbers are).
Well, graham's number is definitely up there.
What is graham's number though?
Well, lets start with the number 3
3 squared is 9. (32)
3 cubed is 27 (33)
NOTE: It starts to get big here, so I will use the symbol "^" to express "to the power of"
So we know that 3^3 is 27. What about 3^^3? Well, it gets big here. This is also 3^27, which equals out to exactly 7,625,597,484,987, or simply 7.6 trillion.
It get's much, much, much bigger than this number from here on.
Now, let's keep growing on 3. What is 3^^^3 (3^^3^^3).
This begins to get astronomically large, it would 3^^^.. so on for 7.6 trillion stacks high, which is just crazy big, and we're not anywhere close to graham's number yet.
Alright- let's begin to get into Graham's Number itself, and how to achieve it.
3^^^^3 is g1, which is a base unit for getting grahams number. This number is without doubt extremely off the charts already.
But what is g2
That would be
3^^..(g1)..^^3 = g2
And g3?
Yup, you guessed it. 3^^..(g2)..^^3 = g3
Graham's Number is g64.
This number is so stupidly large that there is nowhere near enough space in the observable universe (93 billion light years circumference est.) for this to be stored digitally (yes, as in binary code, on a hard drive). Also, if you tried to write this number out, your head would literally turn into a black hole, considering the universe can't even begin to hold that much matter in itself, and in the process of you being able to think of it, and have it in your memory, you would collapse the universe in on itself since you would be creating matter (an extreme amount of it), which isn't possible. (law of conservation of matter + the Observable Universes' capacity)
Thanks for reading this all the way through if you did, this took me a lot of time to make. . Credits to : Numberphile and myself
Last edited by Kramoris ; edited 1 time in total
#2. Posted:
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I thought I was smart....until this..
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#3. Posted:
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Alright so im in my last year of middle school and i have no freaking clue what you just said...
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#4. Posted:
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#5. Posted:
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#6. Posted:
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Copied and pasted , but ok......
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#7. Posted:
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Peas wrote Copied and pasted , but ok......
Please show me the exact article I "copied and pasted"
Oh wait, there isn't one, ain't that a kneeslapper?
I may have closely followed the video but I didn't copy and paste at all. Don't make rash accusations and jump to conclusions unless you can back yourself up, which you can't.
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#8. Posted:
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Kramoris wrotePeas wrote Copied and pasted , but ok......
Please show me the exact article I "copied and pasted"
Oh wait, there isn't one, ain't that a kneeslapper?
I may have closely followed the video but I didn't copy and paste at all. Don't make rash accusations and jump to conclusions unless you can back yourself up, which you can't.
Well in that case then i am very impressed that you put so much time and effort in to this post.
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#9. Posted:
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I don't even know what to say.
This is awesome.
This is awesome.
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#10. Posted:
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Learned something pretty cool today. Thanks man, I enjoyed this post a lot actually. Got me to think for a bit and that's what I look for in things. If you can get me to really truly think hard about something, it interests me a bunch. Thanks a lot man!
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