Skewes' number

English

Etymology

Named after South African mathematician Stanley Skewes.

Noun

Skewes' number (plural Skewes' numbers)

1. (number theory) Any of several extremely large numbers used as upper bounds for the smallest natural number $x$ for which $\pi (x)>\operatorname {li} (x)$, where $\pi$ is the prime-counting function and $li$ is the logarithmic integral function. These bounds have since been improved by others.