Pascal's OPN roadblock files

[lavalamp]

My largest SNFS factorisation to date, c228 = p88 * p141

[hyramgraff]

Originally Posted by lavalamp

My largest SNFS factorisation to date, c228 = p88 * p141

Wow, that's great!

How long did it take to complete that?

[lavalamp]

25 days on a 3.4 Ghz quad core. I think that's a pretty good time for a number with SNFS difficulty 234, those p^7-1 numbers have great degree 6 polynomials that sieve super well.

[hyramgraff]

I just found a P48 factor for (101691318335746946042200793713846391^7-1) so I think the C143 that's left should be easy enough to finish off.

[hyramgraff]

I wanted to give everyone a monthly update on the ECM status of the composites in the t2100 file. I'm still running 35 digit ECM on the C130-C199 composites and I should have that finished in a little over a week. After that I'm planning on running the following tasks:

C200 - C299 at 30 digits: ~9000 composites
C130 - C139 at 40 digits: ~110 composites

You can find my code and the snapshot of the t2100 file that I'm working with at https://gitlab.com/hyramgraff/odd-perfect-ecm. Every time I update my snapshot of the t2100 file, I run the following tasks on the new composites:

25 digit ECM for all composites
30 digit ECM for C130 - C199

[lavalamp]

For what it's worth, I've performed a lot of ECM on the c251 in 1631830528533060342008861^13-1. Unless I've been somewhat unlucky, I'm now fairly sure it has no factors less than 55 digits. I'm currently looking around the 65 digit level, and soon to be 70 digit level.

[RichD]

Around 200 new composites have been added to the MWRB file between sizes C131-C189. Many are of the SNFS flavor. Use your favorite tool to find the ones you might like or request a range and I can post some here.

I am reserving the following numbers (in no particular order):

55667^37-1
509^73-1
14821^53-1
45427^37-1
33329911692062219289866143679653390355732583233312231696104296093313266337 ^3-1 (P74^3-1)
12948^11-1
383^73-1

[RichD]

Taking next.

14755578513200128694405527268494894972322250111221828730338500819651^3-1
3870372610603^13-1

[RichD]

Taking all the remaining C13x in the MWRB file.

[RichD]

Starting on the C14x's in the MWRB file. Not to worry, there are still about 140 composites in the range C150-C189.

[hyramgraff]

Originally Posted by hyramgraff

I wanted to give everyone a monthly update on the ECM status of the composites in the t2100 file.

Life has gotten very busy in the last two months so this update is very overdue. I'm currently running 45 digit ECM on the C130-C139 composites. Estimated time to complete is ~24 days. That should give me plenty of time to decide what to work on after this batch finishes.

You can find my code and the snapshot of the t2100 file that I'm working with at https://gitlab.com/hyramgraff/odd-perfect-ecm. Every time I update my snapshot of the t2100 file, I run the following tasks on the new composites:

25 digit ECM for all composites
30 digit ECM for C130 - C399 (up from C199 in the last report)
35 digit ECM for C130 - C199 (added since the last report)
40 digit ECM for C130 - C149 (added since the last report)


Mildly interesting factorization of the month:
C139 = P41 * P44 * P55 (both factors found at B1 = 45 digits http://factordb.com/index.php?id=1100000000537424706)


Question:

What's a good upper limit for running ECM on smaller composites? 45 digits for n <= 139? 50 digits for C140 <= n <= C159? 55 digits for C160 <= n <= 179?