for those unfamiliar with these Zen pattern numbers of the third realm or region, floating beyond the large GIMPS Mersenne prime numbers, I thought I'd mention some of my inspiration and influences; or ideas that seem vaguely relevant

it's easy to find weblinks for these people and websites

an interesting visualisation of one billion is available

Visualisation of powers of ten from one to 1 billion

http://en.wikipedia.org/wiki/1000000000_(number)
Robert Munafo

classes of natural numbers aka counting numbers, positive integers

Reuben Goodstein

names for hyperoperations, Goodstein's theorem

John Horton Conway

Conway chained arrow recurrence relation, the fourth realm,

and heaps of wide ranging math ideas

Donald E Knuth

simple but good notation for hyperoperations

concrete math and art of computer programming books

Ronald Graham

Graham's number

Wolfram Research

cellular automata, NKS, Demonstrations project and Wolframalpha

Piet Hein

superegg

M C Escher

amazing patterns and art

Edward R Tufte

visual display of quantitative information

Andrzej Grzegorczyk

another perspective on the third realm or region

the Fast Growing Hierarchy and Grzegorczyk Hierarchy

Georges Perec

whose contributions to Oulipo were inspiring

I had to follow the ideas from Oulipo

to think creatively enough about the natural numbers, when in math mode, I was usually trying to think creatively about basic things

Patrick Gunkel

whose contributions to innovative thinking were inspiring

other inspirational people

Benoit Mandelbrot

Mandelbrot set (1979)

David Madore

tree pictures of transfinite ordinals, interesting visualisations but complicated to understand

Jonathan Bowers

polyhedra, polychora

and fourth realm ingenuity ( Bowers arrays )

gmalivuk, deedlit, wardaft and heaps of others .........

xkcd forum, My number is bigger game

iteror

another approach to the name big numbers game

I used to be interested in reading papers on these websites

Calresco and CCSR and Principia Cybernetica

complexity studies, artificial life ...

Tim Berners Lee

the worldwide web is 25 years old or young

Quickfur on Eretrandre

who sort of seemed to be thinking along a similar path to me

and of course the wonderful Eretrandre people

Henryk Trappman, Gottfried Helms, Dmitrii Kouznetsov, and others

who invented or discovered the beautiful tetration fractal pictures

and the many deep mathematics ideas on Eretrandre

and of course many others I forget but who also influenced me

or others who I remember, but if I mentioned them all

there would still be others I missed but should have included