Skewes' number

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Skewes' number

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Named after South African mathematician Stanley Skewes.

Skewes ' number (plural Skewes' numbers)

(number theory) Any of several extremely large numbers used as upper bounds for the smallest natural number $x$ $x$ for which $\pi (x)>\operatorname {li} (x)$ $\pi (x)>\operatorname {li} (x)$ , where $\pi$ $\pi$ is the prime-counting function and $li$ $li$ is the logarithmic integral function. These bounds have since been improved by others.
- 1976, Word Ways: The Journal of Recreational Linguistics, volumes 9-10, A. Ross Eckler, page 178:
  With this extension, the number system exceeds a number of previously-named giants, such as Archimedes' largest number, Kasner's googolplex, Skewes' number and Candelaria's googoltriplex.