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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2010-04-27 03:54:55

DaveRobinsonUK
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Graham's Number

Has anybody any ideas on how to find out the digits?


Can feel it coming together.. Slowly but Surely smile
 

#2 2010-04-27 07:05:54

bobbym
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Re: Graham's Number

Hi David;

Ramsey theory and numbers are the toughest. To give you an idea of what you are asking I spent a long time trying to get just the front digit of the power tower:

9^(9^(9^9))

And that tower is immeasurably tiny next to Grahams number.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2010-04-27 23:49:06

DaveRobinsonUK
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Re: Graham's Number

Hi Bobby

Wow, I thought it would be very complicated. I watched a documentary a while ago on Infinity and Ronald Graham came on discussing how he decided one day to stop being a Circus artist and become a Mathematician and he explained how he came up with them number.

Are the carrats in your 9^(9^(9^9) Knuth notation?


Can feel it coming together.. Slowly but Surely smile
 

#4 2010-04-27 23:50:15

bobbym
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Re: Graham's Number

Hi Dave;

No, that represents regular exponentiation:



I didn't see that documentary.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

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