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Old 2016-09-30, 03:35   #1
RichD
 
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Default Team sieve for OPN - 70841^53-1

Tracking Odd Perfect Number (OPN) 70841^53-1.

I performed some quick heuristics, not so much to get an estimate but to get a feel for the division of -a and -r side processing.

The following table is built with test sieving of 2000 (special-q) blocks. Not very representative but enough to show a trend. The first number is the ratio of rel/Q and the second is the percent increase in time (sec/rel). The base time @ 40M is within one percent between -a & -r so the base is nearly identical.

Code:
   special-q ->    40M      100M      150M      200M
algebraic side    2.76/-   2.19/32   1.57/55   1.63/74
rational side     2.48/-   2.17/18   1.75/42   1.78/62
It appears the rational side is better at the higher special-q values. Perhaps a near 50-50 split would be in order. The algebraic side has been run to about 123.3M. We would know more as the statistics come in for each side.
Code:
# sieve with gnfs-lasieve4I15e.
# OPN 70841^53-1
n: 1639870874590419433710052519894739183040918246691564654028160232651507013803494814368275258694299678055272788457973905696251342961581573918058718878360631706916568162337627046488755367758046805318319744365426748357609314760174184516928504686504427003173
skew: 1
c0: -70841
c6: 1
Y0: -44932661921134788129101965278651904868535161
Y1: 1
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
alambda: 2.6
rlambda: 2.6
alim: 200000000
rlim: 200000000
Run the siever using the following command:
Code:
gnfs-lasieve4I15e -f <start_of_range> -c <length_of_range> -o <output_file_name> -r 70841_53.poly
Add the -v switch if you want to see status updates every few seconds.
(I like to watch the progress.)

In case a restart is needed in the range, add the -R switch.
(All range numbers must be full decimal representations. i.e., 42M = 42000000)

Since ggnfs is single thread, multiple copies need to be run at the same time to utilize multiple cores. Be sure to use a different output_file_name for each range. Something like 70841_40M as signifying the starting point.

The output files can be placed at any of the file sharing services: DropBox, RapidShare, SendSpace, etc.

To start things off I'll take 40-66M on the -r side.
Remember, the -a side is already at 123.3M.
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Old 2016-09-30, 06:08   #2
VBCurtis
 
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I'll take 66-75M.
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Old 2016-09-30, 15:21   #3
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I'll take 75-91M on the r side.

Last fiddled with by amphoria on 2016-09-30 at 15:54 Reason: Decided to take half based on initial sieving
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Old 2016-10-01, 02:51   #4
RichD
 
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Whoa, bit off more than I thought. Looks like better than two weeks and it will be 7-8 days before my first results will be reported. I think the regulars are snickering knowing this is going to be several months of processing.
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Old 2016-10-01, 03:51   #5
VBCurtis
 
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My reservation will be 3+ weeks as well, 3M each on 3 cores.
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Old 2016-10-07, 10:54   #6
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Taking 91-107M on the r side.
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Old 2016-10-07, 11:08   #7
pinhodecarlos
 
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First post should have a trackdown of the reservations.
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Old 2016-10-08, 11:18   #8
amphoria
 
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Quote:
Originally Posted by amphoria View Post
I'll take 75-91M on the r side.
After cat'ing the files together and running through remdups4, this yielded 33.3M relations. They can be downloaded from 70841_75M.7z.

Last fiddled with by amphoria on 2016-10-08 at 11:20
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Old 2016-10-09, 19:31   #9
RichD
 
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40-48M is complete and remdups4 says 18.28M unique relations. Posted here.
The rest of my range is over half complete.
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Old 2016-10-11, 19:29   #10
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Taking 107-123M on the -r side.
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Old 2016-10-14, 11:01   #11
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Taking 123-139M on the r side.
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