38971^47-1 is factored: [code]
r1=72344043690148089394696868014624145276982560409178684235275384119401981 (pp71)
r2=206404738387080489993606356045301747498270416491717713049737085562601275032518326548540457141789803553567230713568608821108163036535607966257 (pp141)
[/code]
It took a bit longer than I said because I underestimated how long the smaller jobs I had queued in front of it would take. Once it was started it took 5 days 10 hours.

Chris

I'll take the other two.
24709^47-1
25037^47-1

Not sure when I will start on them since the first is just over one-third sieving.

Quick ECM finds for [URL="http://www.factordb.com/index.php?id=1100000000520161043"]24709^47-1[/URL] as P35 * P38 * P131

A couple quick ECM finds left a C122 which was a relatively easy GNFS job.

[URL="http://www.factordb.com/index.php?id=1100000000520161048"]25037^47-1[/URL] as P40 * P41 * P43 * P80

[QUOTE=RichD;408238]I ran a few extra for 15083^53-1.
7850 @ 43e6.
Releasing number to SNFS, a nice sextic.
-15083+(15083^9)^6[/QUOTE]

I'll reserve this for SNFS. ETA about 2 weeks.

Chris

[URL="http://www.factordb.com/index.php?id=1100000000520161042"]24671^47-1[/URL] as P62 * P141.

I'll start working on 18956983^29-1 next.

I'll reserve the remaining small(ish) numbers in the most wanted list for ECM to T45 while I factor 15083^53-1. Any survivors will be queued for SNFS after that's done.
1999^59-1
2701483^29-1
34319^43-1
34603^43-1
34981^43-1
35117^43-1
35149^43-1
35543^43-1

Chris

I'll start working on the following in the coming days.
16141^53-1
16217^53-1
16231^53-1

ECM to t50 and may or may not perform SNFS.
(I will release when done.)

[URL="http://www.factordb.com/index.php?id=1100000000529440199"]18956983^29-1[/URL] as P60 * P63 * P82

16141^53-1
 

7600 @ 43e6, no factor.
Ready for SNFS.
Perhaps NFS@Home might be interested.

Edit: Releasing number.

A bit small for NFS@Home's 14e, outside of challenge periods, where SNFS difficulty 22x do indeed make good fillers.