I was reading a book on number theory, and there was an interesting dicussion about pi and e. It state that it took about one third less time to compute e to 100,000 places when compare to pi. Additionally, it stated that no "simple" partial fraction (that is, one in which all numerators are 1's) exists for pi, but one exists for e. I'm no number theorist, and certainly am not up to date with any research, but has there been any results proving that pi is, in a sense a deeper, more complex irrational number than e, in the same vein as the statements in the book I was reading? Thanks. Note: the book is called "Excursions in Number Theory" and was published in 1966. edit: Oops. Thought I was posting this in the number theory section. If a mod would move it, I would appreciate it.