Epstein system

The Epstein system of large number naming was devised by Louis Epstein starting in the late 1980s. It represents a vast extension of the long scale of Chuquet nomenclature and a means of entry into the far larger Epstein Numbers.

Construction
The base prefixes of the Epstein system are described as follows:


 * n-illion = 106n
 * n-illiard = 106n+3
 * n-illio-illion = 106*10 6n
 * n-illio-illiard = 106*10 6n+3
 * n-illia-illion = 106*10 6n+3
 * n-illia-illiard = 106*10 6n+3+3

a hyphenated number's closing consonants are deleted and replaced by "-illion" to raise a million to that number.

Where n is a semi-Latin prefix ranging from 1 to 1031-1. These can also be chained more, e.g. n-illio-illia-illiard = ((n-illio-illion)-illia-allion)-illiard. The prefix for n is constructed nearly identically to Bower's -illions except small SI prefixes are replaced with large ones, and Greek prefixes are used to multiply. For instance, a hecmegillio-illion = 106*10 600,000,000. & hecexillio-illion = 106*10 600,000,000,000,000,000,000.

Subsequent to the base prefixes,names are further extended through the use of apostrophes that denote the height of a power-tower (e.g. yottillia-illio'megillio-illion for a million raised to a tower of a yottillia-illion megillions) and particle operators,as explained in the instructions for calculating the Immortal Storm Number.

Beyond the -illions named by the system are the Titled Numbers starting with the Immortal Storm Number, then the Alphabet Numbers that build on the Titled Numbers,and then the Epstein Numbers and larger derivatives thereof.

External link

 * "Counting Really,Really,REALLY High"