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 2012-10-22, 20:46 #342 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2·33·132 Posts It could be a factor for some other number, and as such its character has to be known. Here's where it sits. It is an extremely useful data warehouse. Their internal validation is different from Primo, an open-source script (there was a discussion some place in the factordb thread). Here's some fun that you can have with this now proven number P=2^56366+39079: If you construct a PRP of a form a*(P^3+b*P^2+c*P)+-1 (that's only for example; you can use some other forms), then you can immediately prove it prime by N+-1 method based on P being a proven prime. Last fiddled with by Batalov on 2012-10-22 at 20:56
 2012-10-22, 21:00 #343 Cybertronic     Jan 2007 DEUTSCHLAND ! 3·89 Posts Wow Peter , congratulations !
2012-10-22, 21:15   #344
Dubslow

"Bunslow the Bold"
Jun 2011
40<A<43 -89<O<-88

11100001101012 Posts

Quote:
 Originally Posted by Puzzle-Peter Thanks! Factordb? I think I've read this before but honestly I don't even really know what it is. I can guess from the name though. But this numbers does not have any factors. I am confused. I think I need to do some reading...
Quote:
 Originally Posted by Batalov It could be a factor for some other number, and as such its character has to be known. Here's where it sits. It is an extremely useful data warehouse. Their internal validation is different from Primo, an open-source script (there was a discussion some place in the factordb thread). Here's some fun that you can have with this now proven number P=2^56366+39079: If you construct a PRP of a form a*(P^3+b*P^2+c*P)+-1 (that's only for example; you can use some other forms), then you can immediately prove it prime by N+-1 method based on P being a proven prime.
Nominally after a certificate has been uploaded the status changes from PRP to P, but c.f. here, that's broken at the moment. Pretend it's a P.

2012-10-22, 21:41   #345
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

912610 Posts

Quote:
 Originally Posted by Dubslow Nominally after a certificate has been uploaded the status changes from PRP to P, but c.f. here, that's broken at the moment. Pretend it's a P.
Nothing is broken. You've never dealt with primes large enough. There's always a delay for the validation step. It is surely infinitesimal for PRPs of the aliquot run-of-the mill size.

I had submitted sizeable certificates before. For them, the delay is significant. Now, here, this particular number is a monster. Nothing will be "usual" here. Not only FactorDB, but the UTM pipeline will be quite possibly manually shunted. (UTM makes special notes for offsite validations that they cannot reproduce but that had come from trusted sources.)

P.S. Ho-ho-ho. Look at out old "friend" Liquid N2. Submitted a PRP to them instead of Lifchitz&Lifchitz. It will be removed - look at it now before too late.

Last fiddled with by Batalov on 2012-10-22 at 21:56 Reason: added UTM status (currently: "Verify")

 2012-10-22, 22:19 #346 philmoore     "Phil" Sep 2002 Tracktown, U.S.A. 1,117 Posts Congratulations! At 16968 digits, it is the fourth largest prime proven by ECPP, and the largest proven by Marcel Martin's Primo.
2012-10-23, 14:41   #347
Puzzle-Peter

Jun 2009

2·5·67 Posts

Quote:
 Originally Posted by Batalov Nothing is broken. You've never dealt with primes large enough. There's always a delay for the validation step. It is surely infinitesimal for PRPs of the aliquot run-of-the mill size. I had submitted sizeable certificates before. For them, the delay is significant. Now, here, this particular number is a monster.
Is validating the same as re-running Phase2 in PRIMO? That took one week with 16 threads on 12 physical cores.

 2012-10-23, 18:04 #348 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 216468 Posts No, it is much faster. It verifies that all relations are valid. (There's also a very fast signature checking, that's almost instantaneous, but only checks that the file is not damaged in transfer or not manually edited.) It should be done today. (Running on a slow 4-cpu box.) ...Done. The certificate is valid. Last fiddled with by Batalov on 2012-10-24 at 02:25
 2012-10-26, 06:22 #349 Puzzle-Peter     Jun 2009 2·5·67 Posts I see a user comment has been added on Chris Caldwells pages. Thanks! Could anybody tell me how to do this in the future? I can edit the existing comment now which is great because the sendspace link will expire and I hope to see the certificate an Marcel Martins page at some point (no answer to my email to him yet). But how can I make a new comment? I seem to be unable to find out Last fiddled with by Puzzle-Peter on 2012-10-26 at 06:23
2012-12-14, 12:58   #351
Puzzle-Peter

Jun 2009

10100111102 Posts

Quote:
 Originally Posted by Batalov David is your co-author; I guess that is an authentication worth enough.
Does that give me a non-infinite Erdős number? certainly the closest I'll ever get.

However, here's a little pre-christmas present:

2^61792+21661 is now a certified prime.

http://www.sendspace.com/file/0tt6t5

Last fiddled with by Batalov on 2012-12-14 at 20:58 Reason: (added 2^)

 2012-12-14, 18:06 #352 Cybertronic     Jan 2007 DEUTSCHLAND ! 3·89 Posts Only german. Hallo Peter, herzlichen Glückwunsch ! Das nenne ich mal eine Hausnummer ... dagegen erscheint mein Rekord von 2010 ein Witz zu sein. Gruß Norman

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