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| | Some Notes on Big Numbers |
 | | Quantum computing allows a single computer to work on an immense number of possibilities at once, but there is a fundamental physical limitation on their operation that means that if they did exist, they would simply double the length of keys that could be cracked. |
 | | However, it but scratches the surface of the integers; it does not begin, for example, to reach towards numbers like the googolplex, (which is 10^(10^100) just as the googol is 10^100) and very large numbers of that kind can indeed be meaningful to mathematicians; they are sometimes required in mathematical proofs, for example. |
 | | However, Donald Knuth had already proposed such a scheme, with the additional improvement that new number names would come along not every time eight digits are added to the end of the number, but when the length of the number doubles, thus enabling the system to be extended to much larger numbers. |
| www.quadibloc.com /math/bignum.htm (2524 words) |
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