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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.
TREE(3) is larger than Graham's number. Rayo's number is a large number named after Agustín Rayo which has been claimed to be the largest named number. It was originally defined in a "big number duel" at MIT on 26 January 2007.
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 ...
In the PBS science program Cosmos: A Personal Voyage, Episode 9: "The Lives of the Stars", astronomer and television personality Carl Sagan estimated that writing a googolplex in full decimal form (i.e., "10,000,000,000...") would be physically impossible, since doing so would require more space than is available in the known universe.
In number theory, Skewes's number is the smallest natural number for which the ... This explains why () is sometimes larger than (), and also why it is rare for ...
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Graham's number cannot be expressed in Conway chained arrow notation, but it is bounded by the following: 3 → 3 → 64 → 2 < G < 3 → 3 → 65 → 2 {\displaystyle 3\rightarrow 3\rightarrow 64\rightarrow 2<G<3\rightarrow 3\rightarrow 65\rightarrow 2}
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