I want to report some progress in finding a closed-form for the MRB constant.
I found a sequence of closed-forms involving the MRB that gives "0." with interesting accuracy far beyond machine precision. To see it for yourself, simply plot 1 + Sin[Pi*(5060936308 + 78389363*Floor[n])/m],
where m is the MRB Constant, for n in any given domain. It is
simply amazing how close to 0 the range remains!
See the attached worksheet for an example.
