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 e-mails.

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 e-mails.

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 n-value gets annoyingly large.

R1001 complete to n=50000 and released. One prime found:

478*1001^30517-1

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 100K-200K - Nothing found

Results emailed - Base released

Un-reserving:

S803, S866, S917, S934, S935 and R662

S653
 

S653 tested n=25K-100K - Nothing found

Results emailed - Base released

Status update R1025
 

Tested to n=450k, no prime. Continuing.

Status update R666
 

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
 

R980 tested 25000<n<100001, 2 primes:

44*980^30084-1
7*980^50877-1

Base released.

Reservations
 

Reserving the following to n=50K:

R510 R526 R534 R573 R579 R619 R638 R643 R710 R712

R666
 

tested n=150,000 to 178,851

139*666^178851-1 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=Puzzle-Peter;271189]tested n=150,000 to 178,851

139*666^178851-1 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=25K-50K - Nothing found

Results emailed - Base released

S534
 

S534 tested n=25K-50K - Nothing found

Results emailed - Base released

Reservations
 

Reserving the following to n=50K

S634 S688 S703 S710 S716

I just submitted 59*752^70888-1 to the Prime Pages.

I have not completed all k to n=70000.

S573
 

S573 tested n=25K-50K - Nothing found

Results emailed - Base released

S641
 

S641 tested n=25K-50K

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=25K-50K - Nothing found

Results emailed - Base released

[QUOTE=MyDogBuster;272113]S641 tested n=25K-50K... - Base released[/QUOTE]
Reserving to 100K - it looks like a missing tooth in a row of 100k-tested 1kers. ;-/

S686
 

S686 tested n=25K-50K - 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=25K-50K - Nothing found

Results emailed - Base released

R510
 

R510 tested n=25K-50K - Nothing found

Results emailed - Base released

R526
 

R526 tested n=25K-50K

774*526^41592-1 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=25K-50K

104*573^40080-1 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=25K-50K - Nothing found

Results emailed - Base released

a quick run for R1030, n up to 1000, k up to 1000

k remaining
[code]
9*1030^n-1
42*1030^n-1
140*1030^n-1
210*1030^n-1
263*1030^n-1
308*1030^n-1
371*1030^n-1
593*1030^n-1
686*1030^n-1
711*1030^n-1
807*1030^n-1
857*1030^n-1
887*1030^n-1
924*1030^n-1
945*1030^n-1
[/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^n-1
42*1030^n-1
140*1030^n-1
210*1030^n-1
263*1030^n-1
308*1030^n-1
371*1030^n-1
593*1030^n-1
686*1030^n-1
711*1030^n-1
807*1030^n-1
857*1030^n-1
887*1030^n-1
924*1030^n-1
945*1030^n-1
[/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 larger-conjectured 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*1030^1256-1 is 3-PRP! (0.2434s+0.0001s)
263*1030^1648-1 is 3-PRP! (0.4031s+0.0002s)
686*1030^1648-1 is 3-PRP! (0.4159s+0.0017s)
308*1030^1820-1 is 3-PRP! (0.4567s+0.0002s)

R638
 

R638 tested n=25K-50K - Nothing found

Results emailed - Base released

R643
 

R643 tested n=25K-50K

162*643^29547-1 is prime

Results emailed - Base released

R643 is now a 3ker

R1003 tested n=25k - 100k, found 1 prime:

338*1003^62214-1

R710
 

R710 tested n=25K-50K - Nothing found

Results emailed - Base released

reserving r1001 to 100e3

R712
 

R712 tested n=25K-50K

93*712^29415-1 is prime

Results emailed - Base released

R712 is now a 4ker

R534
 

R534 tested n=25K-50K

46*534^27767-1 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=25K-50K - Nothing found

Results emailed - Base released

S688
 

S688 tested n=25K-50K - Nothing found

Results emailed - Base released

S703
 

S703 tested n=25K-50K

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=25K-50K

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]~=15-20K.

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=25K-50K

156*727^43262-1 is prime

Results emailed - Base released

R727 is now a 3ker

R736
 

R736 tested n=25K-50K

749*736^28425-1 is prime
285*736^31508-1 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=50K-100K or higher?[/QUOTE]
Let's do it. I am almost done with R507... Will reserve R736 to 100K.

R737
 

R737 tested n=25K-50K

16*737^28623-1 is prime

Results emailed - Base released

R737 is now a 3ker

R747
 

R747 tested n=25K-50K - Nothing found

Results emailed - Base released

R753
 

R753 tested n=25K-50K - Nothing found

Results emailed - Base released

R761
 

R761 tested n=25K-50K

14*761^34278-1 is prime
74*761^41682-1 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=25K-50K - Nothing found

Results emailed - Base released

R783
 

R783 tested n=25K-50K - Nothing found

Results emailed - Base released

R803
 

R803 tested n=25K-50K

22*803^34391-1 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=25K-50K - Nothing found

Results emailed - Base released

S718
 

S718 tested n=25k-50K - Nothing found

Results emailed - Base released

S720
 

S720 tested n=25K-50K

57*720^26004+1 is prime

Results emailed - Base released

S720 is now a 2ker

S730
 

S730 tested n=25K-50K - Nothing found

Results emailed - Base released

S746
 

S746 tested n=25K-50K

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=25K-50K

13*748^32635+1 is prime

Results emailed - Base released

S748 is now a 2ker

S753
 

S753 tested n=25K-50K - Nothing found

Results emailed - Base released

Reserving R555 and S555 to n=25K.

S754
 

S754 tested n=25K-50K

214*754^32727+1 is prime

Results emailed - Base released

S754 is now a 3ker

S761
 

S761 tested n=25K-50K - Nothing found

Results emailed - Base released

S767
 

S767 tested n=25K-50K - 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*752^70888-1 is prime (and previously reported).

Residues e-mailed to Gary (too large for forum).

R1029 tested to n=300k, no prime. Continuing. Next goal (and status update) n=350k.

S770
 

S770 tested n=25K-50K

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=25K-50K

118*813^27266-1 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=25K-50K - Nothing found

Results emailed - Base released

R816
 

R816 tested n=25K-50K - Nothing found

Results emailed - Base released

R828
 

R828 tested n=25K-50K - 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=25K-50K

70*873^39463-1 is prime

Results emailed - Base released

R873 is now a 3ker

R883
 

R883 tested n=25K-50K - Nothing found

Results emailed - Base released

R889
 

R889 tested n=25K-50K - Nothing found

Results emailed - Base released

R892
 

R892 tested n=25K-50K - Nothing found

Results emailed - Base released

R893
 

R893 tested n=25K-50K - Nothing found

Results emailed - Base released

R1025 tested n=450k to n=500k, no prime. Continuing...

R905
 

R905 tested n=25K-50K - Nothing found

Results emailed - Base released

S773
 

S773 tested n=25K-50K - Nothing found

Results emailed - Base released

S789
 

S789 tested n=25K-50K

6*789^27296+1 is prime

Results emailed - Base released

S789 is now a 4ker