mersenneforum.org New ECPP record (currently: 59,798 digits)
 Register FAQ Search Today's Posts Mark Forums Read

 2020-02-02, 23:21 #23 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 2F116 Posts @Paulunderwood: Any chance you could post a FactorDB link for that number, or at least post a zipped .txt attachment with the full decimal expansion? I tried clicking "Show all of the digits", but I just got this: Code: Partition numbers are too slow to calculate 'on the fly' and should be pre-calculated. Tell the editor this one is missing and it will be added Last fiddled with by Stargate38 on 2020-02-02 at 23:22 Reason: formatting
2020-02-02, 23:45   #24
paulunderwood

Sep 2002
Database er0rr

2×2,243 Posts

Quote:
 Originally Posted by Stargate38 @Paulunderwood: Any chance you could post a FactorDB link for that number, or at least post a zipped .txt attachment with the full decimal expansion? I tried clicking "Show all of the digits", but I just got this: Code: Partition numbers are too slow to calculate 'on the fly' and should be pre-calculated. Tell the editor this one is missing and it will be added
The top5000 uses an outdated version of Par/GP to calculate the digits of partition numbers. My version takes a minute or two -- the version the top5000 is using has already taken over 12 hours.

I am just uploading the 79MB certificate to FactorDB. Verification will tie up a core for several days. Somehow factorDB rejected the certificate saying "candidate must be probable prime". It will only be a matter of a couple of days before the certificate appears on ellipsa.eu.

I have almost completed a verification of the certificate here on my 48 core -- it is likely to be around 20 hours in total.

See the attached for the decimal expansion.
Attached Files
 numbpart_1289844341.txt.zip (19.6 KB, 283 views)

Last fiddled with by paulunderwood on 2020-02-03 at 00:33

 2020-02-03, 01:33 #25 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 235038 Posts Congrats! Here is a method that I use to create large entries in FactorDB. 1. Find any unrelated composite. 2. Paste your number in the 'Report factors' text box. ;-) 3. Get the link to the number on the next webpage. It is http://factordb.com/index.php?id=1100000001443762221 Another method is to submit the zipped primo's out file and then find it in your own http://factordb.com/certoverview.php?userid=${your-uid} but when it is large then what you described likely happens. 2020-02-03, 02:23 #26 paulunderwood Sep 2002 Database er0rr 2×2,243 Posts Quote:  Originally Posted by Batalov Congrats! Here is a method that I use to create large entries in FactorDB. 1. Find any unrelated composite. 2. Paste your number in the 'Report factors' text box. ;-) 3. Get the link to the number on the next webpage. It is http://factordb.com/index.php?id=1100000001443762221 Another method is to submit the zipped primo's out file and then find it in your own http://factordb.com/certoverview.php?userid=${your-uid} but when it is large then what you described likely happens.
Thanks for creating the number. I have tried 3 different ways to upload the cert. and am giving up.

I have verified the number in about 15.5 hours on my 48 core.

I await Marcel putting up the cert. to which I will link from UTM.

 2020-02-03, 07:51 #27 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 19·232 Posts When I did a bit of an exploration of Lehmer numbers, I've done those depositions a lot. I also typically initialize N-1 and N+1, in this case http://factordb.com/index.php?id=1100000001443795933 http://factordb.com/index.php?id=1100000001443795971 The interesting thing is that for them, the PRP test didn't choke so FDB can properly treat the entries of this size.
 2020-02-03, 10:07 #28 paulunderwood     Sep 2002 Database er0rr 448610 Posts The cert has been uploaded to FDB -- it had to change from status "U" to "PRP" before I could upload successfully.
2020-02-03, 10:11   #29
axn

Jun 2003

22×32×151 Posts

Quote:
 Originally Posted by paulunderwood The cert has been uploaded to FDB -- it had to change from status "U" to "PRP" before I could upload successfully.
Not seeing it, though. Neither under the number nor in the queue (http://factordb.com/certoverview.php...p=0&pending=on)

2020-02-03, 10:26   #30
paulunderwood

Sep 2002
Database er0rr

2×2,243 Posts

Quote:
 Originally Posted by axn Not seeing it, though. Neither under the number nor in the queue (http://factordb.com/certoverview.php...p=0&pending=on)
I don't know why it is not showing up in that queue. The certificate is now on Ellipsa top20.

I am still awaiting UTM to register it so I can link to there from the ECPP Wiki page.

Last fiddled with by paulunderwood on 2020-02-03 at 10:29

2020-02-03, 20:36   #31
ewmayer
2ω=0

Sep 2002
República de California

5·2,351 Posts

Nice work on these, Paul - catching up with the thread:

Quote:
 Originally Posted by paulunderwood It is with great pleasure that I proudly announce a new record ECPP certification of a 34093 digits prime. Arranged in a 331 by 103 grid the digits of the prime depicts the Mersenne prime exponent 57,885,161. The certification process took 14 months using a 4 x AMD 6174 (48 cores at 2.2 GHz) and 200 days additionally spent in parallel on an AMD 1090T (6 cores at 3.2 GHz) running phase 2 work.
I see the trailing digits = ...000532669 - how many such candidates did you have to PRP-test to find this one? Your above snip mentions just the ECPP effort, if I read that correctly.

2020-02-03, 21:36   #32
paulunderwood

Sep 2002
Database er0rr

10001100001102 Posts

Quote:
 Originally Posted by ewmayer Nice work on these, Paul - catching up with the thread: I see the trailing digits = ...000532669 - how many such candidates did you have to PRP-test to find this one? Your above snip mentions just the ECPP effort, if I read that correctly.
That little touch of a prime ending would have been done like this: start with the picture ending zeroes and have pari/gp add primes to the number to form a list in a file -- maybe with some elementary trial division. Then process the file with pfgw64 -f until a PRP shows. As I recollect I had one or two found overnight.

Further, the big digits of the picture were created in text files and stitched together with Perl.

Last fiddled with by paulunderwood on 2020-02-03 at 21:42

2020-02-11, 05:26   #33
paulunderwood

Sep 2002
Database er0rr

2·2,243 Posts

Quote:
 Originally Posted by paulunderwood I am still awaiting UTM to register it so I can link to there from the ECPP Wiki page.
After nearly 9 days UTM has given "External" status to the partitions number. I can now do the Wiki page.

 Similar Threads Thread Thread Starter Forum Replies Last Post danaj Computer Science & Computational Number Theory 59 2020-10-10 04:57 trhabib Miscellaneous Math 6 2011-08-19 16:34 nuggetprime Software 14 2010-03-07 17:09 T.Rex Math 6 2007-06-25 16:42 nuggetprime Information & Answers 9 2007-04-06 16:22

All times are UTC. The time now is 22:37.

Sun Jan 29 22:37:31 UTC 2023 up 164 days, 20:06, 0 users, load averages: 0.89, 0.92, 0.90