S588 proven.
90*588^110728+1 is prime!
Considering this is the second highest weighted single k conjecture, this was a nice one to knock off. It took me surprise. I've been gone all week and it was discovered on Monday after I left. I didn't know about it until I returned because I didn't have PRPNet server configured to send out emails. The other piece of annoyance was that the first attempt at a primality test failed with PFGW. I then realized that I entered the wrong number for the primality test. I would have been disappointed had phrot been wrong. This prime should enter as #9 on the largest primes to prove a Sierpinski conjecture. 
[QUOTE=rogue;267879]90*588^110728+1 is prime!
Considering this is the second highest weighted single k conjecture, this was a nice one to knock off. It took me surprise. I've been gone all week and it was discovered on Monday after I left. I didn't know about it until I returned because I didn't have PRPNet server configured to send out emails. The other piece of annoyance was that the first attempt at a primality test failed with PFGW. I then realized that I entered the wrong number for the primality test. I would have been disappointed had phrot been wrong. This prime should enter as #9 on the largest primes to prove a Sierpinski conjecture.[/QUOTE] Nice one Mark. Another one bites the dust. Working on the heavy weights definitely gives a better chance of prime/proof before the nvalue gets annoyingly large. 
1 Attachment(s)
R1001 complete to n=50000 and released. One prime found:
478*1001^305171 7 k remain. Residues attached. 
R1019 and S1004 have been released due to lack of activity in 6 months and response to PM/Emails over several weeks.

R815
R815 tested 100K200K  Nothing found
Results emailed  Base released 
Unreserving:
S803, S866, S917, S934, S935 and R662 
S653
S653 tested n=25K100K  Nothing found
Results emailed  Base released 
Status update R1025
1 Attachment(s)
Tested to n=450k, no prime. Continuing.

Status update R666
1 Attachment(s)
tested to n=150k, no prime. Continuing.

Reservations
Reserving the following to n=50K:
S507 S534 S573 S596 S641 S647 S686 
R987
R987 tested to n=100k, no primes
Results emailed, base released. 
R980
1 Attachment(s)
R980 tested 25000<n<100001, 2 primes:
44*980^300841 7*980^508771 Base released. 
Reservations
Reserving the following to n=50K:
R510 R526 R534 R573 R579 R619 R638 R643 R710 R712 
R666
1 Attachment(s)
tested n=150,000 to 178,851
139*666^1788511 is prime! [U][/U] (504984 digits) [URL]http://primes.utm.edu/primes/page.php?id=101882[/URL] Conjecture proven. 
Nice one. Nice ck of 898, the second highest Riesel ck ever to be proven.:showoff::groupwave:

[QUOTE=PuzzlePeter;271189]tested n=150,000 to 178,851
139*666^1788511 is prime! (504984 digits) [URL]http://primes.utm.edu/primes/page.php?id=101882[/URL] Conjecture proven.[/QUOTE] Congrats on a huge proof! :smile: 
Wow, really big prime!

S507
S507 tested n=25K50K  Nothing found
Results emailed  Base released 
S534
S534 tested n=25K50K  Nothing found
Results emailed  Base released 
Reservations
Reserving the following to n=50K
S634 S688 S703 S710 S716 
I just submitted 59*752^708881 to the Prime Pages.
I have not completed all k to n=70000. 
S573
S573 tested n=25K50K  Nothing found
Results emailed  Base released 
S641
S641 tested n=25K50K
12*641^26421+1 is prime 46*641^35514+1 is prime S641 is now a 1ker Results emailed  Base released 
S647
S647 tested n=25K50K  Nothing found
Results emailed  Base released 
[QUOTE=MyDogBuster;272113]S641 tested n=25K50K...  Base released[/QUOTE]
Reserving to 100K  it looks like a missing tooth in a row of 100ktested 1kers. ;/ 
S686
S686 tested n=25K50K  Nothing found
Results emailed  Base released 
Reservations
Reserving the following to n=50K
R727 R736 R737 R747 R753 R761 R780 R783 R803 R806 
S596
S596 tested n=25K50K  Nothing found
Results emailed  Base released 
R510
R510 tested n=25K50K  Nothing found
Results emailed  Base released 
R526
R526 tested n=25K50K
774*526^415921 is prime Results emailed  Base released R526 is now a 3ker 
S641 is proven  thanks to Ian's hard work, primarily.
[URL="http://primes.utm.edu/primes/page.php?id=102237"]8*641^87701+1[/URL] is the last prime. 
R573
R573 tested n=25K50K
104*573^400801 is prime Results emailed  Base released R573 is now a 2ker 
Reserving R507 to n=25K.

Reservations
Reserving the following to n=50K:
S718 S720 S730 S746 S748 S753 S754 S761 S767 S770 
R579
R579 tested n=25K50K  Nothing found
Results emailed  Base released 
a quick run for R1030, n up to 1000, k up to 1000
k remaining [code] 9*1030^n1 42*1030^n1 140*1030^n1 210*1030^n1 263*1030^n1 308*1030^n1 371*1030^n1 593*1030^n1 686*1030^n1 711*1030^n1 807*1030^n1 857*1030^n1 887*1030^n1 924*1030^n1 945*1030^n1 [/code]will run those remaining to N=5k file contain trivial k, prime found and remaining k 
[QUOTE=firejuggler;273068]a quick run for R1030, n up to 1000, k up to 1000
k remaining [code] 9*1030^n1 42*1030^n1 140*1030^n1 210*1030^n1 263*1030^n1 308*1030^n1 371*1030^n1 593*1030^n1 686*1030^n1 711*1030^n1 807*1030^n1 857*1030^n1 887*1030^n1 924*1030^n1 945*1030^n1 [/code]will run those remaining to N=5k file contain trivial k, prime found and remaining k[/QUOTE] Thanks for the work. For your resources, please consider working on a smaller conjectured base. It would be too much admin work to show on the pages small increments of largerconjectured bases like this. Here are my guidelines: 1. I only show k's remaining when all k's have been searched to n>=10K. 2. With the exception of bases 3/7/15 with huge conjectures, I only show k's remaining if at least 1/3rd to 1/2 of all k's have been searched. I could make some other exceptions to #2 for other bases with conjectured k greater than 10,000,000 but not for for a conjecture of k=54642. If I don't go by these guidelines, I could quickly be innundated with admin work. I'll go ahead and save off the data but it won't be shown anywhere for now. 
nevermind then. i continue to sieve b148, on the 7k remaining
still, adding 945*1030^12561 is 3PRP! (0.2434s+0.0001s) 263*1030^16481 is 3PRP! (0.4031s+0.0002s) 686*1030^16481 is 3PRP! (0.4159s+0.0017s) 308*1030^18201 is 3PRP! (0.4567s+0.0002s) 
R638
R638 tested n=25K50K  Nothing found
Results emailed  Base released 
R643
R643 tested n=25K50K
162*643^295471 is prime Results emailed  Base released R643 is now a 3ker 
1 Attachment(s)
R1003 tested n=25k  100k, found 1 prime:
338*1003^622141 
R710
R710 tested n=25K50K  Nothing found
Results emailed  Base released 
reserving r1001 to 100e3

R712
R712 tested n=25K50K
93*712^294151 is prime Results emailed  Base released R712 is now a 4ker 
R534
R534 tested n=25K50K
46*534^277671 is prime Results emailed  Base released R534 is now a 3ker 
Resevations
Reserving the following to n=50K:
R813 R814 R816 R828 R873 R883 R889 R892 R893 R905 
S634
S634 tested n=25K50K  Nothing found
Results emailed  Base released 
S688
S688 tested n=25K50K  Nothing found
Results emailed  Base released 
S703
S703 tested n=25K50K
276*703^27272+1 is prime 430*703^46194+1 is prime Results emailed  Base released S703 is now a 3ker 
S710
S710 tested n=25K50K
10*710^31038+1 is prime Results emailed  Base released S710 is now a 4ker 
R507 is in progress to 25K.
Partial remake had to be done on [I]k[/I]'s that were "eliminated" by pfgw3.5.0 and then put back into pl_remain list, so currently the count is at 55 [I]k[/I] remaining which are spread around [I]n[/I]~=1520K. 
S716
S716 tested n=25K=50K
173*716^25905+1 is prime 83*716^31267+1 is prime Results emailed  Base released S716 is now a 4ker 
Reservations
Reserving the following to n=50K.
S773 S788 S789 S890 S805 S806 S811 S825 S842 S859 
[QUOTE=MyDogBuster;275062]Reserving the following to n=50K.
S773 S788 S789 S890 S805 S806 S811 S825 S842 S859[/QUOTE] A couple of problems here: S788 is already at n=50K. I'll assume that you will not reserve it. S890 is proven. I'll assume that you mean S790 since it is between S789 and S805. 
[QUOTE]S788 is already at n=50K. I'll assume that you will not reserve it.
S890 is proven. I'll assume that you mean S790 since it is between S789 and S805. [/QUOTE] Correct and correct. Chalk those up to no sleep. 
R727
R727 tested n=25K50K
156*727^432621 is prime Results emailed  Base released R727 is now a 3ker 
R736
R736 tested n=25K50K
749*736^284251 is prime 285*736^315081 is prime Results emailed  Base released R736 is now a 1ker 
[QUOTE=gd_barnes;275250]Proof of R736 with CK=870 would be our 3rd largest Riesel conjecture proven. Anyone care to test this for n=50K100K or higher?[/QUOTE]
Let's do it. I am almost done with R507... Will reserve R736 to 100K. 
R737
R737 tested n=25K50K
16*737^286231 is prime Results emailed  Base released R737 is now a 3ker 
R747
R747 tested n=25K50K  Nothing found
Results emailed  Base released 
R753
R753 tested n=25K50K  Nothing found
Results emailed  Base released 
R761
R761 tested n=25K50K
14*761^342781 is prime 74*761^416821 is prime Results emailed  Base released R761 is now a 1ker 
I'll take R761 as well to 125K.
R736 is now at 105K and I will lift to to 150K for now. 
R780
R780 tested n=25K50K  Nothing found
Results emailed  Base released 
R783
R783 tested n=25K50K  Nothing found
Results emailed  Base released 
R803
R803 tested n=25K50K
22*803^343911 is prime Results emailed  Base released R803 is now a 3ker 
R761 and R736 are now at 125K and will continue to 150K.

Reservations
Reserving to n=50K
S864 S873 S878 S892 S905 S911 S922 S945 S949 
R806
R806 tested n=25K50K  Nothing found
Results emailed  Base released 
S718
S718 tested n=25k50K  Nothing found
Results emailed  Base released 
S720
S720 tested n=25K50K
57*720^26004+1 is prime Results emailed  Base released S720 is now a 2ker 
S730
S730 tested n=25K50K  Nothing found
Results emailed  Base released 
S746
S746 tested n=25K50K
41*746^34969+1 is prime 47*746^47853+1 is prime Results emailed  Base released S746 is now a 4ker 
S748
S748 tested n=25K50K
13*748^32635+1 is prime Results emailed  Base released S748 is now a 2ker 
S753
S753 tested n=25K50K  Nothing found
Results emailed  Base released 
Reserving R555 and S555 to n=25K.

S754
S754 tested n=25K50K
214*754^32727+1 is prime Results emailed  Base released S754 is now a 3ker 
S761
S761 tested n=25K50K  Nothing found
Results emailed  Base released 
S767
S767 tested n=25K50K  Nothing found
Results emailed  Base released 
R752
Completed to n=100000 and released. Nasty base. Only 1 (of 9) k removed from n=30000 to n=100000.
59*752^708881 is prime (and previously reported). Residues emailed to Gary (too large for forum). 
1 Attachment(s)
R1029 tested to n=300k, no prime. Continuing. Next goal (and status update) n=350k.

S770
S770 tested n=25K50K
205*770^36892+1 is prime 182*770^45297+1 is prime Results emailed  Base released S770 is now a 3ker 
R813
R813 tested n=25K50K
118*813^272661 is prime Results emailed  Base released R813 is now a 4ker 
R761 and R736 are now done to 150K. No primes found. Bases released.

R814
R814 tested n=25K50K  Nothing found
Results emailed  Base released 
R816
R816 tested n=25K50K  Nothing found
Results emailed  Base released 
R828
R828 tested n=25K50K  Nothing found
Results emailed  Base released 
Reservations
Reserving the following to n=50K:
R941 R942 R948 R953 R958 R977 R978 S950 S958 S980 S984 S985 S1006 S1009 This will finish off this segment of my drive to n=50K 
R873
R873 tested n=25K50K
70*873^394631 is prime Results emailed  Base released R873 is now a 3ker 
R883
R883 tested n=25K50K  Nothing found
Results emailed  Base released 
R889
R889 tested n=25K50K  Nothing found
Results emailed  Base released 
R892
R892 tested n=25K50K  Nothing found
Results emailed  Base released 
R893
R893 tested n=25K50K  Nothing found
Results emailed  Base released 
1 Attachment(s)
R1025 tested n=450k to n=500k, no prime. Continuing...

R905
R905 tested n=25K50K  Nothing found
Results emailed  Base released 
S773
S773 tested n=25K50K  Nothing found
Results emailed  Base released 
S789
S789 tested n=25K50K
6*789^27296+1 is prime Results emailed  Base released S789 is now a 4ker 
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