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...The only limit with BNS is how much time the user has. The software nor the numerical system has no limits.
The book on BNS is here https://www.createspace.com/4404221
The inventors websight is here: http://timetravelinstitute.biz
chinese remainder theorem - progressive solving, n-soln, extras
"chinese remainder" solves a system of equations over modulus quickly. crtwo is an improvement to Mathematica's release.
crtwo: solves Chinese Remainder a pair at a time, (uses gcd), yet is still fast.
Which means crtwo, unlike text book soln, uses an algorithm to solve or fail one mod equation at a time. showing win or fail of each eqn and solving other sawtooth intersections is possible, due to that.
The Wolfram Machine project is an effort to create a set of documentation and useful modules (both hardware and software) for a computing architecture based on the mathematical theories presented in Steven Wolfram's book _A_New_Kind_of_Science_.