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Graham's number is an immense number that arose as an upper bound on the answer of a problem in the mathematical field of Ramsey theory. It is much larger than many other large numbers such as Skewes's number and Moser's number , both of which are in turn much larger than a googolplex .
A googolplex is the large number 10 googol, or equivalently, ... Graham's number; Names of large numbers; Orders of magnitude (numbers) Skewes's number; References
googolplex = = Skewes's numbers: the first is approximately , the second ; Graham's number, larger than what can be represented even using power towers . However, it can be represented using layers of Knuth's up-arrow notation.
At the same time that he suggested "googol" he gave a name for a still larger number: "googolplex". A googolplex is much larger than a googol, but is still finite, as the inventor of the name was quick to point out. It was first suggested that a googolplex should be 1, followed by writing zeros until you got tired.
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(See googolplex for a comparable number) Now let's examine Graham's number, or since we can't look at the number itself, let's look at the tower of powers that appears in that article. That tower has 3^(3^...^3) layers, where the number of 3's in the ellipses is equal to 3^(3^3), which equals about 7.6 x 10^12.
Far larger finite numbers than any of these occur in modern mathematics. For instance, Graham's number is too large to reasonably express using exponentiation or even tetration. For more about modern usage for large numbers, see Large numbers. To handle these numbers, new notations are created and used. There is a large community of ...
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