Hello all! I'm new here; I found these forums by way of a google search after I was unable to get my question answered on yahoo answers. In any event, I don't see any place for new members to "introduce themselves" like a lot of forums have, so I guess I figured it would be alright if I just jump right into my question. Hope that's cool with everyone? Just incidentally, I am working on a science fiction setting (well sort of science fantasy, it's got a mix of hard and soft sci-fi elements, but I want the hard sf parts to stick within real laws of physics and mathematics), so I will likely be asking more questions in the future as far as this type of thing, I hope you guys can help me out, and I'm certainly happy to credit you in the book acknowledgements as science/math consultants! So, I'm trying to come up with a number that has both of these qualities and matches both of these criteria: • It must be a very large number, so large that it must use Conway chained arrow notation. It must be larger than Graham's number; significantly so. • It must be a mathematical anagram of the Golden Ratio (or Golden Mean, or whatever you want to call it.) By which I mean, it must be composed of only the numbers from that fraction (and zeroes). So it could be like 3 → 1 → 6 → 1 → 8 → 3 and so on… I hope someone can help (and I hope this is categorized in the right forum, I always seem to be a little unsure about that when I first post in a new forum; I'm not sure if someone might consider this to be a "textbook-style problem" or not)!