R655
Riesel Base 655
Conjectured k = 3294 Covering Set = 7, 37, 79 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 109(109) Found Primes: 1066k's  File emailed Remaining: 20k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 559k's MOB Eliminations: 1k  File emailed 1310 Base Released 
Reservations
Reserving as new S897 & S952 to n=25K

Reserving R991 to n=25K.

R687
Riesel Base 687
Conjectured k = 4686 Covering Set = 5, 43, 109 Trivial Factors k == 1 mod 2(2) and k== 1 mod 7(7) Found Primes: 1978k's  File emailed Remaining: 27k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 335k's MOB Eliminations: 2k's  File emailed Base Released 
Taking S588, which has 1 k remaining
Taking S802, also with 1 k remaining. 
S682
Sierp Base 682
Conjectured k = 6831 Covering Set = 5, 61, 683 Trivial Factors k == 2 mod 3(3) and k == 226 mod 227(227) Found Primes: 4463k's  File emailed Remaining: 64k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 2297k's MOB Eliminations: 4k's  File emailed GFN: 1k  File emailed 682 Base Released 
Taking R636 with 1 k remaining.

S655
Sierp Base 655
Conjectured k = 6930 Covering Set = 13, 29, 41 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 108 mod 109(109) Found Primes: 2242k's  File emailed Remaining: 46k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1176k's Base Released 
I would like to reserve R746 to n=50K

S502
Sierp Base 502
Conjectured k = 8832 Covering Set = 5, 7, 13, 61, 73 Trivial Factors k == 2 mod 3(3) and k == 166 mod 167(167) Found Primes: 5712k's  File emailed Remaining: 130k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 2979k's MOB Eliminations: 8k's  File emailed GFN: 1k  File emailed 502 Base Released 
S897
Sierp Base 897
Conjectured k = 7634 Covering Set = 5, 17, 449 Trivial Factors k == 1 mod 2(2) and k == 6 mod 7(7) Found Primes: 3242ks  File emailed Remaining: 27k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 545k's MOB Eliminations: 2k's  File emailed Base Released 
S795
Sierp Base 795
Conjectured k = 6566 Covering Set = 19, 29, 199 Trivial Factors k == 1 mod 2(2) and k == 396 mod 397(397) Found Primes: 3233k's  File emailed Remaining: 39k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 8k's MOB Eliminations: 2k's  File emailed Base Released 
Reservations
Reserving R711 & R795 as new to n=25K

S841 is complete to n=25K; 26 k's found prime for n=5K25K; 33 k's remaining; base released.

1 Attachment(s)
R746 is complete to n=50K
1 prime found: 20*746^386081 I am releasing the base Attached are the results. I would like to reserve S740 to n=50K 
R502
Riesel Base 502
Conjectured k = 7136 Covering Set = 5, 7, 13, 31, 61 Trivial Factors k == 1 mod 3(3) and k == 1 mod 167(167) Found Primes: 4622k's  File emailed Remaining: 101k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 2406k's MOB Eliminations: 5k's  File emailed Base Released 
S862
Sierp Base 862
Conjectured k = 6757 Covering Set = 9, 31, 421 Trivial Factors k == 2 mod 3(3) and k == 6 mod 7(7) and k == 140 mod 141(141) Found Primes: 3700k's  File emailed Remaining: 62k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 2990k's MOB Eliminations: 2k's  File emailed GFN: 1k  File emailed 862 Base Released 
Reservations
Reserving the following 1kers to n=200K
R548 R662 R812 S626 S758 S828 
[QUOTE=Mathew Steine;259591]R746 is complete to n=50K
1 prime found: 20*746^386081 I am releasing the base Attached are the results. I would like to reserve S740 to n=50K[/QUOTE] Ian, If you are so inclined, R746 is now another 2ker that needs to be taken to n=100K. Details will be available when the pages are back up, which could be late Sat. There is a sieve file on the reservations page for n=50K100K. Gary 
I'm listening to a song called "Episode 666" plus I realize R666 is a 1ker waiting to get proven. So It' reserved now. :smile:

Reserving R1003 to n=100k

Reserving R980 and R987 to n=100k

S840
Sierp Base 840
Conjectured k = 9076 Covering Set = 37, 61, 313 Trivial Factors k == 838 mod 839(839) Found Primes: 8982k's  File emailed Remaining: 77k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 10k's MOB Eliminations: 4k's  File emailed GFN's: 1k  File emailed 840 Base Released 
Reservations
Reserving R843 & R852 as new to n=25K

S952
Sierp Base 952
Conjectured k = 5503 Covering Set = 5, 13, 37, 41, 43 Trivial Factors k == 2 mod 3(3) and k == 316 mod 317(317) Found Primes: 3607k's  File emailed Remaining: 46k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1846k's MOB Eliminations: 1k  File emailed 3808 GFN: 1k  File emailed 952 Base Released 
1 Attachment(s)
S740 is complete to n=50K
1 prime found 11*740^33519+1 Attached are the results. I would like to reserve S993 to n=50K 
[QUOTE=gd_barnes;259962]Ian,
If you are so inclined, R746 is now another 2ker that needs to be taken to n=100K. Details will be available when the pages are back up, which could be late Sat. There is a sieve file on the reservations page for n=50K100K. Gary[/QUOTE] [QUOTE=Mathew Steine;260422]S740 is complete to n=50K 1 prime found 11*740^33519+1 Attached are the results. I would like to reserve S993 to n=50K[/QUOTE] OK, Ian, the pages are now viewable and so R746 is ready for you with a link to a sieve file. S740 is also ready with a sieve file. Both are 2kers at n=50K. :smile: 
R746 S740
[QUOTE]OK, Ian, the pages are now viewable and so R746 is ready for you with a link to a sieve file. S740 is also ready with a sieve file.
Both are 2kers at n=50K. :smile:[/QUOTE] Okay, Ya talked me into them. LOL:censored: 
R650
R650 tested n=100K200K  Nothing found
Results emailed  Base released 
R711
Riesel Base 711
Conjectured k = 4540 Covering Set = 7, 13, 19, 89 Trivial Factors k == 1 mod 2(2) and k == 1 mod 5(5) and k == 1 mod 71(71) Found Primes: 1757k's  File emailed Remaining: 31k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 480 MOB Eliminations: 1k  File emailed 1422 Base Released 
S633 R823
Reserving S633 & R823 as new to n=25K

R522
Reserving R522 as new to n=25K

Another conjecture bites the dust!
[URL="http://primes.utm.edu/primes/page.php?id=100010"]10*802^149319+1[/URL] This was a relatively light weight conjecture. At the moment it will be #190 on the Top 5000. What's even cooler is that it was found by phrot (on MacPPC) and verified by pfgw (on MacIntel). 
[QUOTE=rogue;260729]Another conjecture bites the dust!
[URL="http://primes.utm.edu/primes/page.php?id=100010"]10*802^149319+1[/URL] This was a relatively light weight conjecture. At the moment it will be #190 on the Top 5000. What's even cooler is that it was found by phrot (on MacPPC) and verified by pfgw (on MacIntel).[/QUOTE] Very cool. Congrats Mark. 
S797
S797 tested n=100K200K  Nothing found
Results emailed  Base released 
R795
Riesel Base 795
Conjectured k = 5770 Covering Set = 29, 199, 641 Trivial Factors k == 1 mod 2(2) and k == 1 mod 397(397) Found Primes: 2836k's  File emailed Remaining: 38k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 7k's MOB Eliminations: 3k's  File emailed Base Released 
S914
S914 tested n=100K200K  Nothing found
Results emailed  Base released 
R843
Riesel Base 843
Conjectured k = 8652 Covering Set = 5, 13, 19, 37, 211 Trivial Factors k == 1 mod 2(2) and k == 1 mod 421(421) Found Primes: 4199k's  File emailed Remaining: 113k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 10k's MOB Eliminations: 3k's  File emailed Base Released 
S740
S740 tested n=50K100K
4*740^58042+1 is prime 13*740^n+1 is now a 1ker with a weight of 1350 Results emailed  Base released 
R698
R698 tested n=100k to 150k, 1 prime found: 2*698^1275581
Base released. Results and sieve file to n=1M emailed. 
R746
R746 tested n=50K100K  Nothing found
Results emailed  Base released 
S583
Sierp Base 583
Conjectured k = 2994 Covering Set = 5, 41, 73 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 96 mod 97(97) Found Primes: 968k's  File emailed Remaining: 19k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 509k's Base Released 
R991 is complete to n=25K; 20 k's found prime for n=5K25K; 33 k's remain; base released.

I would like to reserve S947 & S530 to n=50K

Reserving R971 and R982 as new to n=25k

Reserving following 1 k'er: 12*998^n+1 to n=200K
Take care KEP 
S877 S882
Reserving S877 & S882 as new to n=25K

S672 S723
Reserving S672 & S723 as new to n=25K

1 Attachment(s)
S530,S947,S993 are complete to n=50K
no primes. Attached are the results 
R522
Riesel Base 522
Conjectured k = 9797 Covering Set = 5,7,13,31,45 Trivial Factors k == 520 mod 521(521) Found Primes: 9557k's  File emailed Remaining: 209k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 18k's MOB Eliminations: 11k's  File emailed 
R852
Riesel Base 852
Conjectured k = 8529 Covering Set = 5, 41, 853 Trivial Factors k == 1 mod 23(23) and k == 1 mod 37(37) Found Primes: 7800k's  File emailed Remaining: 130k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 590k's MOB Eliminations: 7k's  File emailed Base Released 
S633
Sierp Base 633
Conjectured k = 6022 Covering Set = 5, 17, 317 Trivial Factors k == 1 mod 2(2) and k == 78 mod 79(79) Found Primes: 2890k's  File emailed Remaining: 78k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 38k's MOB Eliminations: 4k's  File emailed Base Released 
S940 S988
Reserving S940 & S988 as new to n=25K

R1029
1 Attachment(s)
26*1029^n1 tested 200k<n<250k, no prime
continuing... 
I would like to reserve R601 to n=50K.

S672
Sierp Base 672
Conjectured k = 3366 Covering Set = 5, 37, 673 Trivial Factors k == 10 mod 11(11) and k == 60 mod 61 (61) Found Primes: 2974k's  File emailed Remaining: 32k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 356k's MOB Eliminations: 1k  File emailed 1344 GFN Eliminations: 1k  File emailed 672 Base Release 
[QUOTE=PuzzlePeter;260093]Reserving R980 and R987 to n=100k[/QUOTE]
These are not marked on the reservation pages. 
Mathew has reported that R601 is complete to n=50K. There is nothing to report and the base is released.

S882
Sierp Base 882
Conjectured k = 5297 Covering Set = 5, 37, 883 Trivial Factors k == 880 mod 881(881) Found Primes: 5209k's  File emailed Remaining: 76k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 6k's MOB Eliminations: 3k's  File emailed GFN Eliminations: 1k  File emailed 882 Base Released 
S988
Sierp Base 988
Conjectured k = 1678 Covering Set = 23, 43 Trivial Factors k == 2 mod 3(3) and k == 6 mod 7 (7) and k == 46 mod 47 (47) Found Primes: 923k's  File emailed Remaining: 13k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 739k's GFN: 1k  File emailed 988 Base Released 
R697 R952
Reserving R697 & R952 s new to n=25K

S723
Sierp Base 723
Conjectured k = 2354 Covering Set = 5, 13, 181 Trivial Factors k == 1 mod 2(2) and 18 mod 19(19) Found Primes: 1087k's  File emailed Remaining: 27k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 62k's Base Released 
Reserving S625 as new to n=25K.
It has about a hundred k's left to test after first weeding. That is after taking off the list some already known S5 primes and 8 S25 well tested k's. It also has four excluded Aurifeuillian k's (because 625 itself is the 4th power)! 
[QUOTE=Batalov;263573]Reserving S625 as new to n=25K.
It has about a hundred k's left to test after first weeding. That is after taking off the list some already known S5 primes and 8 S25 well tested k's. It also has four excluded Aurifeuillian k's (because 625 itself is the 4th power)![/QUOTE] I show that there are 6 Aurifeuillian k's. To verify that I'm understanding the term "Aurifeuillian" correctly, I take that to mean k's that are of the form 4*q^4, which means that the form 4*q^4+1 factors as (2*m^2+2m+1)*(2*m^22m+1). Regardless, I show the k's that are eliminated by such "full algebraic factors" as 4, 1024, 2500, 5184, 9604, & 16384. k=64 & 324 have a trivial factor of 13 so don't require the algebraic factors to eliminate them. Let me know if you agree with this. 
yep, six, if we pull 2500 out in the MOB bin. (And 64 and 324 are in the trivial bin). All of them are excluded, anyway.
The MOB bin has to be sorted after all is done. There's still 3750 in it, and it will go where 6 will go. Right now, 6 is still undecided. Around now, down to 80 k's and 8 k's common with S25: 222 (100K for base 25; for base 625, half that) 6436 (275.3K) 7528 (289.1K) 10218 (100K) 10918 (280.1K) 12864 (100K) 13548 (100K) 15588 (100K) Right now the top 5 are: 12988*625^31700+1 14110*625^31029+1 6082*625^22718+1 1146*625^13948+1 2190*625^9139+1 (and it is obvious that the largest ones are borrowed from S5; using "^[[:digit:]]{1,}*5^[[:digit:]]{1,}+1" and "Type: all" in [URL="http://primes.utm.edu/primes/search.php"]adv.search[/URL]) 
S877
Sierp Base 877
Conjectured k = 2182 Covering Set = 5, 7, 13, 37, 139 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 72 mod 73(73) Found Primes: 698k's  File emailed Remaining: 18k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 374k's Base Released 
Taking R1001 and S1002.

S758
S758 tested n=100K200K  Nothing found
Results emailed  Base released 
S940
Sierp Base 940
Conjectured k = 5557 Covering Set = 7, 73, 577 Trivial Factors k == 2 mod 3(3) and k == 312 mod 313(313) Found Primes: 3628k's  File emailed Remaining: 61k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1864k's MOB Eliminations: 1k  File emailed 2820 GFN Eliminations: 1k  File emailed 940 Base Released 
S625
1 Attachment(s)
S625 is done to 25K and released. 55 k remaining (of them 8 are common with S25 and S5 and one is a MOB).
Control files are attached, the residues are in the mail. 
S996
Reserving S996 as new to n=25K

1 Attachment(s)
R998 tested n=25k to 100k, nothing found.
Base released. 
S543 S693
S543 & S693 reserved as new to n=25K
All conjectures with ck < 10K should now at least be reserved to n=25K  Riesel & Sierp 
S543 is a nasty one for an odd base, isn't it?

[QUOTE]S543 is a nasty one for an odd base, isn't it? [/QUOTE]
Yes it is, With a ck of 6478, I have 230k's remaining @ n=2.5K. There's a lot of low weight k's in that one. 
R971
1 Attachment(s)
R971 tested to n=25k
Scripting to n=2000 left 164 k's 56 k's found prime from n=2000 to n=25000 108k's left at n=25k 
S928
Sierpinski 928 is complete to n=25k. This has been a very long slog, and I'm stopping here.
23 more primes. [code]2001*928^20357+1 8928*928^20695+1 8964*928^21214+1 6081*928^22251+1 2928*928^22311+1 481*928^22383+1 3628*928^22828+1 277*928^23898+1 16678*928^20015+1 15874*928^20861+1 14796*928^20996+1 16260*928^21116+1 14605*928^21378+1 9583*928^21695+1 17272*928^22600+1 15930*928^22914+1 13747*928^23392+1 11722*928^24808+1 24888*928^20284+1 24648*928^21500+1 21061*928^22515+1 18828*928^23051+1 19512*928^24114+1 [/code] Base is most definitely released. 
[QUOTE=paleseptember;264723]Sierpinski 928 is complete to n=25k. This has been a very long slog, and I'm stopping here.
23 more primes. Base is most definitely released.[/QUOTE] I know how you feel considering I did R928, which was slightly harder. 
R823
Riesel Base 823
Conjectured k = 8262 Covering Set = 7, 43, 751 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 137(137) Found Primes: 2638k's  File emailed Remaining: 93k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1397k's MOB Eliminations:m 2k's  File emailed Base Released 
I forgot to mention: R971 released.

S828
S828 tested n=100K200K  Nothing found
Results emailed  Base released 
R952
Riesel Base 952
Conjectured k = 5411 Covering Set = 13, 43, 541 Trivial Factors k == 1 mod 3(3) and k == 1 mod 317(317) Found Primes: 3540k's  File emailed Remaining: 52k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1815k's MOB Eliminations: 2k's  File emailed Base Released 
Reservations
Reserving the following 1kers to n=200K.
R668 R815 S803 S866 S917 S934 S935 
S996
Sierp Base 996
Conjectured k = 5841 Covering Set = 7, 19, 43, 127 Trivial Factors k == 4 mod 5(5) and k == 198 mod 199(199) Found Primes: 4579k's  File emailed Remaining: 65k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 1192k's MOB Eliminations: 2k's  File emailed GFN Eliminations: 1k  File emailed 996 Base Released 
R982
1 Attachment(s)
R982 tested to n=25000
Scripting to n=2000 left 211 k's 108 primes found for 2001<n<=25000 > 103 k's remaining at n=25000 Base released 
R548
R548 tested n=100K200K  Nothing found
Results emailed  Base released 
S543
Sierp Base 543
Conjectured k = 6478 Covering Set = 7, 13, 17, 19 Trivial Factors k == 1 mod 2(2) and 270 mod 271(271) Found Primes: 3094k's  File emailed Remaining: 130k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 12k's MOB Eliminations: 2k's  File emailed Base Released 
Taking R752 and R931

R668
R668 tested n=100K200K  Nothing found
Results emailed  Base released 
S693
Sierp Base 693
Conjectured k = 6592 Covering Set = 5,13,347 Trivial Factors k == 1 mod 2(2) and 172 mod 173(173) Found Primes: 3241k's  File emailed Remaining: 32k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 19k's MOB Eliminations: 3k's  File emailed Base Released [COLOR=Red]Unless I missed something, this is the last Sierp base with a ck <10K to be started[/COLOR] Sierp finally beat Riesel at something :razz: 
[QUOTE=MyDogBuster;266794][COLOR=red]Unless I missed something, this is the last Sierp base with a ck <10K to be started[/COLOR]
Sierp finally beat Riesel at something :razz:[/QUOTE] Actually all Sierp bases are complete to n=25K. S625 was complete to n=25K a few weeks ago but I need to take about 2+ hours out to verify and cross reference all base 5 and 25 primes with it. 
R636 completed to n=200000. No primes.

R697
Riesel Base 697
Conjectured k = 4536 Covering Set = 5, 13, 349 Trivial Factors k == 1 mod 2(3) and k == 1 mod 3(3) and k == 1 mod 29(29) Found Primes: 1433k's  File emailed Remaining: 24k's  Tested to n=25K  File emailed Trivial Factor Eliminations: 808k's MOB Eliminations: 2k's  File emailed Base Released [COLOR=Red]This is the last Riesel base with ck<10K to be started.[/COLOR] :surrender 
Kenneth has reported that S998 is at n=128.1K. There is nothing to report and he is continuing.

R812
R812 tested n=100K200K  Nothing found
Results emailed  Base released 
S653
Reserving S653 to n=100K

1 Attachment(s)
S1002 complete to n=50000 and released. Two primes found:
154*1002^48610+1 409*1002^46198+1 7 k remain. Residues attached. 
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