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Math Help - Graham's number or...

  1. #1
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    Graham's number or...

    Hi all, this isn't a homework problem or anything just simply curious. Which is a larger number, Graham's number or the estimated number of atoms in the universe factorial?

    So Graham's number or (10^{80})!
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  2. #2
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    Re: Graham's number or...

    Since this is in math puzzles I've hidden my solution
    Spoiler:
    10^{80}!<10^{80}\cdot10^{80}\cdot10^{80}\cdot...
    10^{80}\cdot10^{80}\cdot10^{80}\cdot...=10^{80^{10  ^{80}}}

    Graham's number is said to be too large to express in the form a^{b^{c^{...}}} with any reasonable number of indices. I have shown that the estimated number of atoms in the universe factorial is smaller than a number which can be expressed in multiple indices so it must be lower than Graham's number
    Last edited by Shakarri; September 15th 2013 at 01:17 PM.
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  3. #3
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    Re: Graham's number or...

    I posted it in here not as a challenge to others but really as an answer to something I was just wondering. I was recently told to think of the largest possible number that still has some kind of meaning. I decided that the total number of atoms in the observable universe factorial is the largest number that still has any relevant meaning... I can't believe that even g1 is larger... considering graham's number is g64. Graham's number must really be the largest number that has any meaning.
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