I don't see their reply, but someone wrote the following:

Marvin,

I apologize in advance for my lack of knowledge in this area but What is the application of this constant? Is there a physical meaning? In What field does it get used? This info might help in suggesting alternative approaches. Also for what applications do you need so many digits?

Regards,

To the best of my understanding the greatest placing of the MRB constant with other mathematical constants and mathematical operations is achieved when you compare its "alternating zeta" summation,

MRB=

to other zeta variants, as the late Richard Crandal did here.

I first dreamed of this constant,

MRB=,

after seeing record digits of other constant's like Sqrt[2], or perhaps like 3^(1/3), which happen to be examples of n^(1/n)|n=positive integers, I wondered what happens when you add all the n^(1/n)|n=positive integers, up in an alternating series? I found that is a divergent series whose upper and lower limit points are MRB and MRB-1, respectively. So what is so neat about calculating many digits of MRB is you are actually calculating the digits of very many integer roots of themselves!! You see, MRB converges so slow that it takes 10^(n+1) iterations of n^(1/n) to produce n digits of MRB. (Think about that for a while!!) So when you calculate over 3,000,000 digits of MRB, like I did, you are in effect calculating 10^(3,000,001) roots to 3 million digits each!! You can do that by the power of the acceleration of the numerical series.

All of the physical world applications that I came up with are somewhat imagination driven such as the growth rate that causes an initial population to grow k times in k periods, or the geometric interpretation of MRB here.

Please ask more questions to keep me on track and I will try to give more answers!!!!