20200630, 21:06  #1 
"Jeppe"
Jan 2016
Denmark
2×83 Posts 
PrimeGrid work on 90646*2^n + 1 and 101746*2^n + 1
In the context of the PrimeGrid forum, the idea to find additional primes in the series 45323*2^n + 1 and
50873*2^n + 1, along with others, came up. They both produce "trivial" primes for n=1. These were searched "manually" at first, and later searched coordinated in a private BOINC server, while testing new software (LLR2, based on LLR). We have now become aware that Conjectures 'R Us are searching the same series, written as 90646*2^n + 1 and 101746*2^n + 1 (so multipliers doubled, the trivial primes now occur at "new" n=0). I just wanted to make you guys aware of this work duplication. See my recent post https://www.primegrid.com/forum_thre...ap=true#141293 for more details. /JeppeSN 
20200630, 22:18  #2  
May 2007
Kansas; USA
2·5,153 Posts 
Quote:
We are also searching Riesel k=351134 and k=478214 in the same manner. Our test limit is currently at n=6.6M on both the Riesel and Sierp even k's and continuing on our public PRPnet server. Last fiddled with by gd_barnes on 20200630 at 22:25 

20200630, 23:12  #3  
"Jeppe"
Jan 2016
Denmark
10100110_{2} Posts 
Quote:
It must be the case that your PRPNet server is ahead of the private BOINC server on these two k. I think we are going to regard the work on the private BOINC server as a double check of your work (for these two multipliers). /JeppeSN 

20200701, 07:00  #4  
May 2015
2^{2} Posts 
Quote:
Server link is boincvm.proxyma.ru:30080/test4vm/ but this search has no dedicated subproject. We loaded these candidates into existing "LLR2 testing" subproject to test our software and server limits. These 5 k's are currently tested up to 4M and search from 4M to 7M is planned to be started in middle of July. An announce will be done on project thread https://www.primegrid.com/forum_thread.php?id=9107 Is your work doublechecked? If not, we can just doublecheck your Proth work for these two k's up to 7M. If yes, we can step out and do not test these two k's anymore. Note that we're using LLR2 software which can generate proof of correctness and do not requires full doublechecking. 

20200701, 18:39  #5 
May 2007
Kansas; USA
10306_{10} Posts 
No our work is not doublechecked. That would be great if you doublecheck it.

20200703, 02:47  #6 
May 2007
Kansas; USA
2×5,153 Posts 
So that you know where we are at on these k's, here is a link to our PRPnet server status page:
http://www.noprimeleftbehind.net:1400/all.html 
20200805, 17:12  #7 
"Jeppe"
Jan 2016
Denmark
2·83 Posts 
That private BOINC server now uses the residues from CRUS for these two k, and double checks your work. And it has a status page now: http://boincvm.proxyma.ru:30080/test...r2_status.html
Thanks to Stream. /JeppeSN 
20200805, 17:45  #8 
If I May
"Chris Halsall"
Sep 2002
Barbados
2·3·1,579 Posts 

20201017, 14:40  #9 
May 2015
2^{2} Posts 
We finished Proth testing of k=23971, 45323, 50777, 50873, 76877 (*2^n+1) up to n=10M, using trusted computation (LLR2 proof of correctness A.K.A. fast doublecheck). Unfortunately, no primes were found.
Last fiddled with by stream on 20201017 at 14:41 
20201020, 02:53  #11 
May 2007
Kansas; USA
2×5,153 Posts 
Info for CRUS folks: Sierp base 2 k=90646 and 101746 have been completed to n=10M and are being released. Stream will send me the residues in a few days.
When other k's in our Riesel/Sierp base 2/4 evenodd kn effort that are being run on our PRPnet server port 1400 are complete to n=10M CRUS will pick them back up. 
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