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Googol

From Encyclopedia of Mathematics - Reading time: 1 min

The number \begin{equation*} 10^{100}, \end{equation*} having $100$ zeroes when written in decimal. In spite of this large size, such numbers can be worked with on modern (1998) networks of computers. See, e.g., [a1] for the factorization of the $180$-digit number $(12^{167}+1)/13$ into two prime factors of $75$ and $105$ digits, respectively.

The number $1$ followed by a googol of zeros is called the googolplex.

The "Game of googol" is a betting game that is equivalent to the secretary problem. It dates from around 1958 and is described in [a2]. Its name derives from the fact that it does not matter how large the numbers are that are chosen in the game.

Comments[edit]

Do not confuse with Google.

References[edit]

[a1] P. Montgomery, S. Cavallar, H. te Riele, "A new world record for the special number field sieve factoring method" CWI Quaterly , 10 : 2 (1997) pp. 105–107. Zbl 1036.11536
[a2] M. Gardner, "New mathematical diversions from Scientific Amer." , Simon&Schuster (1966) pp. 35–36; 41–43

How to Cite This Entry: Googol (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Googol
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