Super Huge Numbers


By Chris Bird



I have invented various array notations to represent these numbers, which go way, way beyond those expressible by power towers, Knuth's Up-arrow Notation or even Conway's Chained Arrow Notation. Click on one of the links below.


Bird’s Array Notation

Bird’s Extended Array Notation

Bird’s Hyper-Dimensional Array Notation

Bird’s Nested Array Notation

Bird’s Hyper-Nested Arrays – and Beyond



Download my document which explains the development of these notations (below).


Array Notations for Super Huge Numbers (Word)

Array Notations for Super Huge Numbers (PDF)



Amazingly, I have even managed to do a proof. Click on the link below.


Proof that Bird’s Array Notation with 5 or more entries goes beyond Conway's Chained Arrow Notation.



E-mail: cmbird at supanet.com (not clickable to thwart spambots!)



Last modified: 4 April 2006