If more math geeks thought these patterns were religious, we could call this Numerology. We could probably make the case that there are an infinite number of "interesting" patterns that can be generated as the result of "simple" arithmetic. That math geeks assign meaning to these numbers such as as proof of a sane, beautiful universe or a universe with a sense of humor is just human nature.

See also the Interesting number paradox[1].

1. http://en.wikipedia.org/wiki/Interesting_number_paradox