Re: "Almost" an Integer - e^?

Leonard M. Wapner <[EMAIL PROTECTED]> wrote:
> 
> Can anyone recall the transcendental number which, if crudely approximated,
> appears as an integer?  It's something like e^(sqrt159) or e^(pi*sqrt159).

     pi sqrt(163)
    e             =  262537412640768743.99999999999925...

The fascinating explanation of why this is so close to an integer
involves deep results from algebraic number theory (class fields,
complex multiplication, modular functions, the j-function, Kronecker's
Jugendtraum, etc). For much further information see my prior post:

Date: 1996/09/27; Subject: Re: (pi+20)^i ~= -1, explain why 
http://google.com/groups?selm=y8zohirmj49.fsf%40martigny.ai.mit.edu

-Bill Dubuque