Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 Re: Euler Avenue » The most difficult proof » 2008-02-05 22:05:28

Guys, I m sorry to interrupt your beautiful discussion which i just bumped in to while surfing. I m a newbie to this site and dont know the rules n regulations but just got registered to post to this discussion. Please forgive me as i m not a mathematician either.

If this discussion is to take a larger form about Irrational numbers then i think you should check something which is called as the Liouville's number. It is irrational as far as i know and it does contain a million zeroes back to back. it is defined as the summation of 10^(-n!) for n = 1 to infinity.

Simply put 0.1100010000000000000000010000000000000.................

Giving 1's only for the digits which are factorial numbers 1 2 6 24 120 and so on.
so there is bound to be a value of some factorial greater than 1.
It is irrational because it neither terminates nor repeats.
Dont have any idea about the pi part though. And some guy called Mahler proved that pi is not a Liouville number. I could not understand this part though.

please rectify me if i am wrong. Thanks