20121022, 20:46  #342 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·3^{3}·13^{2} 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 opensource 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 20121022 at 20:56 
20121022, 21:00  #343 
Jan 2007
DEUTSCHLAND !
3·89 Posts 
Wow Peter , congratulations !

20121022, 21:15  #344  
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1110000110101_{2} Posts 
Quote:
Quote:


20121022, 21:41  #345  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9126_{10} Posts 
Quote:
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. Hohoho. Look at out old "friend" Liquid N_{2}. 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 20121022 at 21:56 Reason: added UTM status (currently: "Verify") 

20121022, 22:19  #346 
"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.

20121023, 14:41  #347  
Jun 2009
2·5·67 Posts 
Quote:


20121023, 18:04  #348 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
21646_{8} 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 4cpu box.) ...Done. The certificate is valid. Last fiddled with by Batalov on 20121024 at 02:25 
20121026, 06:22  #349 
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 PuzzlePeter on 20121026 at 06:23 
20121026, 06:56  #350 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10001110100110_{2} Posts 
David is your coauthor; I guess that is an authentication worth enough.
Log in with the credentials you created (PrimeGrid for example could create an account for you that you won't be able to log in to, but here, this is not the case), and look around. I've never had an occasion to post a comment. Standard official comments had been posted on my behalf, e.g. a Generalized Fermat note. If I will happen to find a Proth prime that will be a Generalized Fermat Factor, PrimeGrid will compute that and also post it on my behalf. 
20121214, 12:58  #351  
Jun 2009
1010011110_{2} Posts 
Quote:
However, here's a little prechristmas present: 2^61792+21661 is now a certified prime. http://www.sendspace.com/file/0tt6t5 Last fiddled with by Batalov on 20121214 at 20:58 Reason: (added 2^) 

20121214, 18:06  #352 
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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