From: Pafnuty Tschebyscheff on
Is e^e rational?
Can anyone give me any references to this problem?
Thanks in advance.
From: bill on
On Mar 13, 1:59 pm, Pafnuty Tschebyscheff <th...(a)SDF-EU.ORG> wrote:
> Is e^e rational?
> Can anyone give me any references to this problem?
> Thanks in advance.

e^e = 1 + e + e^2/2! + e^3/3! ad infinitum.

Does this help?

regards, Bill J
From: Tony on
On Mar 14, 1:20 am, bill <b92...(a)yahoo.com> wrote:
> On Mar 13, 1:59 pm, Pafnuty Tschebyscheff <th...(a)SDF-EU.ORG> wrote:
>
> > Is e^e rational?
> > Can anyone give me any references to this problem?
> > Thanks in advance.
>
> e^e = 1 + e + e^2/2! + e^3/3! ad infinitum.
>
> Does this help?
>
> regards, Bill J

No.
From: Bart Goddard on
Tony <temptony(a)freemail.hu> wrote in news:fa015042-af9c-4f4d-9271-
e05f5afb3f3e(a)t20g2000yqe.googlegroups.com:

> On Mar 14, 1:20�am, bill <b92...(a)yahoo.com> wrote:
>> On Mar 13, 1:59�pm, Pafnuty Tschebyscheff <th...(a)SDF-EU.ORG> wrote:
>>
>> > Is e^e rational?
>> > Can anyone give me any references to this problem?
>> > Thanks in advance.
>>
>> e^e = 1 + e + e^2/2! + e^3/3! ad infinitum.
>>
>> Does this help?
>>
>> regards, Bill J
>
> No.
>

An old "West Coast Number Theory" problem, (before 1980,
I think) asks for the existence of a "Humdrum Number"
which was defined as an integer N such that e^(e^N) is
an integer. As far as I know, this remains unresolved.

B.

--
Cheerfully resisting change since 1959.
From: Pafnuty Tschebyscheff on
On Sun, 14 Mar 2010, Bart Goddard wrote:

> An old "West Coast Number Theory" problem, (before 1980,
> I think) asks for the existence of a "Humdrum Number"
> which was defined as an integer N such that e^(e^N) is
> an integer. As far as I know, this remains unresolved.
>

Can you give me any references to this problem?
I was not able to find anything on "Humdrum Number"...