Date: Feb 13, 2013 7:05 PM
Author: GS Chandy
Subject: Re: Largest Known Prime Number Discovered
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