[seqfan] Re: Primes in Pi, E, and the Golden Ratio

Charles Greathouse charles.greathouse at case.edu
Tue Oct 25 15:05:32 CEST 2011


e^gamma is much more fundamental, don't you think?  Its logarithm
0.577215... is less natural, IMO.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Fri, Oct 21, 2011 at 4:27 AM, Jack Brennen <jfb at brennen.net> wrote:
> I was going to suggest that the Euler-Mascheroni constant (0.577215...) is
> in the same class, then I remembered that unlike the others, we don't even
> know if it's irrational.  I guess that makes it in a class of its own, and
> maybe even more worthy of study?
>
> That being said, I don't think that studying the primes in the decimal
> expansion of the constant is going to lead to a proof of irrationality
> or transcendentality.
>
>
>
> On 10/20/2011 2:48 PM, N. J. A. Sloane wrote:
>>>
>>> But maybe hold off on those for e or phi
>>
>> My own inclination would be to treat pi, e, phi and sqrt(2)
>> as having equal importance
>>
>> Neil
>>
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