Exp[π] - π

1. Apr 7, 2008

rohanprabhu

I read somewhere that $e^\pi - \pi = 20$.

1. Is it true?
2. I tried finding out.. but all i've reached till is:

$$e^{\pi} = \cos{(i \pi)} - i \sin{(i \pi)}$$

what do i do from here on>

2. Apr 7, 2008

CompuChip

Probably it was an engineer who told you
The difference with 20 is about 9.00021 x 10-4. So it's an approximate equality (which is, for a mathematician, of course not an equality).

3. Apr 7, 2008

Gib Z

It's a nice example of an "almost integer". Mathworld has a nice on them, its got many other expressions that are "almost integers" like yours.

4. Apr 7, 2008