User blog:Edwin Shade/384307168202282326

What is the significance of this number ? Well, as it turns out, you can access many more video pages than there are videos to fill those pages on this Wikia, by substituting for N in the link below whatever reasonably sized number you wish. (I discovered this when attempting to access this Wikia's first few videos and finding out there was no page 23 listed, after which I had to manually edit the URL so as to access it.)

http://googology.wikia.com/wiki/Special:Videos?page=N

These pages will be blank, but none the less accessible. The first page not accessible however, is at 384307168202282327, which is one page farther than 384307168202282326, the last accessible page. Beyond that point an error message will pop up, which I have screenshot and put below. This resulted from trying to access the sextillionth page.



Now as this is a number having to do with the limitation of a particular computer system, I expected it would be a power of two. However, this was not the case, as it's not only not a power of two, but It only had four factors, 2, 2833, 37171, and 1824726041. The number appeared in the 61st row of this document, which listed successive values of A094359. Knowing the chances of two 18-digit numbers being the same when one is randomly selected to be astronomically small, I concluded that some principle of organization within the computer was responsible for this number serving as a cut-off point. Why this might be so I don't know, but I will be searching for similar limits on other pages, and will post my findings here.