Being all practical (I apologize), would it not be nice to have a godaddy server on a domain called "isprime.info" with some ULNT (unpleasantly large number of Terabytes), where each bit was mapped to a cardinal from 1 to ULNT*8e12, serving all who care for Brobdignagian primes which returns a minimalist formatted response to a request like:
http://www.isprime.info?number=17 which would return something like: <html><body>YY</body></html> The server would perform two tasks, calculating more primes and serving them from storage that grows as the calculation of primes continues until whoever is funding it says "no-one could possibly need a prime higher than that". Better yet, modify the source of ping or other lightweight protocol listener on isprime.info to deliver back a response containing the two proposed binaries called "calculated" and "primeness". There would be only three possible responses NN, YN, YY. How about a fragment of code on sourceforge that implements a socket to isprime.info that does the equivalent fetch? This would not be hard to implement and might prevent consumption of important thinking time for the surprisingly large subpopulation of mathematicians who recalculate the already calculated series of known contiguous primes. Of course, it might annoy cryptographers, but is that a bad thing? On Fri, Apr 24, 2009 at 7:53 AM, Don Guinn <[email protected]> wrote: > Make that visible universe. > > On Thu, Apr 23, 2009 at 6:13 PM, Roger Hui <[email protected]> wrote: > > > The radius of the universe in meters is: > > 15e9 years * 365.2425 days/year * 24 hours/day * > > 3600 seconds/hour * 3e8 meters/second > > > > ] r=: */ 15e9 365.2425 3600 24 3e8 > > 1.42006e26 > > > > Its volume in cubic meters is: > > o. 4r3 * r^3 > > 1.19953e79 > > > > The minimum size of an atom is a Bohr radius sphere: > > o. 4r3 * 5.3e_11 ^ 3 > > 6.23615e_31 > > > > The number of atoms is therefore bounded by the > > former divided by the latter: > > (o. 4r3 * r^3) % (o. 4r3 * 5.3e_11^3) > > 1.92351e109 > > > > That is, if the entire universe is packed with atoms, > > there'd be no more than 2e109 of them. > > > > > > > > ----- Original Message ----- > > From: [email protected] > > Date: Thursday, April 23, 2009 13:59 > > Subject: Re: [Jprogramming] table of primes to 1,000,000,000 or more > > To: Programming forum <[email protected]> > > > > > I believe the estimate of 10^100 atoms is actually hydrogen > > > atoms. > > > > > > Anyhow, I got my estimate from wikipedia.com. > > > > > > > > > ----- Original Message Follows ----- > > > From: Zsbán Ambrus <[email protected]> > > > To: Programming forum <[email protected]> > > > Subject: Re: [Jprogramming] table of primes to 1,000,000,000 > > > or more > > > Date: Sun, 19 Apr 2009 11:29:10 +0200 > > > > > > >On Sat, Apr 18, 2009 at 10:10 PM, > > > >> <[email protected]> wrote: If there are ~ > > > >10^100 atoms in the universe, > > > > > > > >I think that's an underestimate, there are actually between > > > >10^200 and 10^300 atoms in the universe I believe. > > > > > > > >Ambrus > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > -- This e-mail is from Jonathan D. Lettvin, and may contain information that is confidential or privileged. If you are not the intended recipient, do not read, copy or distribute the e-mail or any attachments. Instead, please notify the sender and delete the e-mail and any attachments. Thank you. Jonathan D. Lettvin ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
