Joe Niederberger posted Feb 13, 2013 8:56 PM: > > I think the remark (which I ascribe, perhaps > flippantly > and wrongly to ultra-finitists) "How many more?" > deserves some consideration. I hope its > uncontroversial that humans will only ever have a > finite stockpile of "discovered" primes in their > arsenal. So the next question is can we figure out an > estimate of where the boundary (on magnitude, which I > think also gives an estimate of total number of) > might be? Or even give a very loose upper bound with > a convincing argument? > The questions are interesting, but - in my opinion - may not be possible to answer in any meaningful way. At most we can only ask a further question or two, such as:
Given some 'possible upper bound prime':
Could it be tested out in any finite period of time? > > Seems like it may be possible. > Any thoughts on just how it may be possible??
GSC > I have no trick up my > sleeve here, it was just a passing thought. > > Anybody? > > Cheers, > Joe N