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[/CODE]

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[/CODE]

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[/CODE]
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.

I'll take 66-75M.

I'll take 75-91M on the r side.

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. :smile:

My reservation will be 3+ weeks as well, 3M each on 3 cores.

Taking 91-107M on the r side.

First post should have a trackdown of the reservations.

[QUOTE=amphoria;443919]I'll take 75-91M on the r side.[/QUOTE]

After cat'ing the files together and running through remdups4, this yielded 33.3M relations. They can be downloaded from [URL="http://www.amphoria.uk/public/70841/70841_75M.7z"]70841_75M.7z[/URL].

40-48M is complete and remdups4 says 18.28M unique relations. Posted [URL=https://www.dropbox.com/s/h8bpl851mnl99ob/70841_40-48.7z?dl=0]here[/URL].
The rest of my range is over half complete.

Taking 107-123M on the -r side.

Taking 123-139M on the r side.